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How to find the coordinates of the intersection of the diagonals of a parallelogram

SOLUTION: Find the coordinates of the intersection of the

Find the coordinates of the intersection of the diagonals

The diagonals of a parallelogram bisect each other, therefore, the point of intersection is the midpoint of either. Use the midpoint formulas with the endpoints of either diagonal (the segments AC and BD are the diagonals), to find the midpoint, and therefore the point of intersection of the diagonals Question:-metry: CC 2015 Chapter 7 Chapter Test 7 Find The Coordinates Of The Intersection Of The Diagonals Of Parallelogram GHJK With Vertices G(-4,5), H (3,5), J (2. - 1). And K(-5, -1). The Coordinates Are 6. This problem has been solved! See the answer. Show transcribed image text

  1. The vertices of parallelogram in order are A(−2,−1),B(1,0),C (4,3),D(1,2). So the diagonals will be AC and BD. Since the diagonals of a parallelogram bisects each other, so mid-point of AC or BD will be intersection point of diagonals
  2. ml-XYZ = 9. mZWXY = 8. mZWZY = 10. a = COORDINATE GEOMETRY Find the coordinates of the intersection of the diagonals of parallelogram I-IJKL given each set of vertices. 11. H(l, 1), J(2, 3), 3), L(5, 1) 12. H(-l, 4), J(3, 3), L(-l, - rite a paragraph proof of the theorem Consecutive angles in a parallelogram 13
  3. Point of intersection of diagonals of parallelogram MOPS is (-2,4) As the ordinates of point M and O are same, MO is parallel to x-axis and has length of 2-(-8)=10. Also as ordinates of point P and S are same, PS is parallel to x-axis and has length of 4-(-6)=10
  4. A parallelogram is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonals of a parallelogram are the segments which connect the opposite corners of the figure
  5. Calculate the length of a diagonal of a parallelogram if given: 1, Sides and angle 2. Sides and other diagonal 3. area and angle. You can use the calculator for each formula

Solution for Find the coordinates of the intersection of the diagonals or Parallelogram PRYZ with given vertices. P(2, 5) R(3, 3) Y(-2, -3) Z(-3, -1 There are a number of ways to find the coordinates of the intersection of diagonals of a polygon. If your question pertained to a polyhedral, then there is an analogous method Explanation: . To answer this question, we must find the diagonal of a rectangle that is by .Because a rectangle is made up of right angles, the diagonal of a rectangle creates a right triangle with two of the sides

The coordinates of the intersection of the diagonals of

COORDINATE GEOMETRY Find the coordinates of the intersection of the diagonals of with the given vertices. W (±1, 7), X (8, 7), Y(6, ±2), Z(±3, ±2) 62/87,21 Since the diagonals of a parallelogram bisect each other, their intersection point is the midpoint of RUWKHPLGSRLQWRI )LQGWKHPLGSRLQWRI 8VHWKH0LGSRLQW)RUPXOD . Substitute And H would be opposite K. That makes GJ and HK the diagonals. It's safest to check by graphing, though, until you have enough practice to get a mental image from the coordinates. You know from regular geometry that the diagonals of a parallelogram bisect each other, so the intersection is the midpoint of each diagonal so we have a parallelogram right over here what I want to prove is that its diagonals bisect each other so the first thing that we can think about these aren't just diagonals these are lines that are intersecting parallel lines so you can also view the Miss transversals and if we focus on D B right over here we see that it intersects DC and a B and since they're those we know our parallelogram. 3. Draw&the&diagonals&of&your&polygon&-&linesegmentLNandlinesegmentIE.Basedonwhatyouknowaboutthe& polygonyougraphed,&list&any&additional&properties&of&the. This calculator computes the diagonals of a parallelogram and adjacent angles from side lengths and angles between sides. It is done with the help of law of cosines. Check the picture. First, we use the law of cosines to find out d1, then we find the second angle of a parallelogram, which is , then we again use the law of cosines to find out d2.

How to Find the Missing Coordinate in a Parallelogra

Given integers A and B denoting the length of sides of a parallelogram and Y that is the angle between the sides and length of diagonals D1 and D2 of the parallelogram and an angle 0 at the intersection of the diagonal, the task is to find the area of the parallelogram from the information provided.. A parallelogram is a type of quadrilateral that has equal and parallel opposite sides and. Solve the parallelogramNeed more help? Mr. Dwyer is available for 1-on-1 tutoring online. Details at https://www.204tutor.com/onlinetutorin two vertices of a parallelogram are a(2, 3) and b(8, 11), and the intersection of the diagonals is x(7, 6) a. find the coordinates of the two other vertices. make sure to show all your work in finding the answer b. explain what you had to do to find the answer. basically walking through how and why you did these thing Yes, it's the intersection point of the diagonals. In fact, the diagonals bisect one another; so, if (A, B) is one vertex and (C, D) is the opposite, the center of the parallelogram is just (A + C 2, B + D 2) must havc perpendicular diagonals? l) the rhombus, only 2 the rectangle and the square 3 the rhombus and the square ) the rectangle, the rhombus, and the square C 290 1/-1 The diagonals of a quadrilateral are congruent but do not bisect each other. This quadrilateral is an isosceles trapezoid 2) a parallelogram 3) a rectangle 4) a rhombu

Geoemtry Final Exam Review-student edition - Gemetry Final

Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(-2,3), H(4,4), J(2, -1), and K(-4, -2). Answers: 2 Get Other questions on the subject: Mathematics. Mathematics, 21.06.2019 17:30, wilkinsserrano3. Terri makes a quilt using three sizes of fabric squares the side lenght of each fabric square is the. The Diagonals of a Parallelogram Abcd Intersect at O. 4 In a parallelogram, the diagonals bisect each other. The diagonals of a rhombus intersect at right angles. ̅̅̅̅ intersect at point?. Show that(i) it bisects C also,(ii) ABCD is a rhombus Find an answer to your question Find the coordinates of the intersection of the diagonals of parallelogram WXYZ with the following vertices: W (-1, 7), X (8, 7 By the Parallelogram Diagonals Theorem, the diagonals of a parallelogram bisect each other. So, the coordinates of the intersection are the midpoints of diagonals LN — and OM —. coordinates of midpoint of OM — = ( 7 — + 0 2 4 + 0 — 2) = ( 7— , 2 2) Midpoint Formula The coordinates of the intersection of the diagonals are ( 7— 2 2.

Solved: Find The Coordinates Of The Intersection Of The Di

Correct answer to the question Find the coordinates of the intersection of diagonal of the parallelogram - e-eduanswers.co Diagonals of a parallelogram bisect each other. So, and . Solve for z. Solve for y. COORDINATE GEOMETRY Find the coordinates of the intersection of the diagonals of with the given vertices. W (±1, 7), X (8, 7), Y(6, ±2), Z(±3, ±2) 62/87,21 Since the diagonals of a parallelogram bisect each other, their intersection point is the midpoint o

6. Determine the coordinates of the intersection of the diagonals of parallelogram FGHJ with vertices !(−2,4), !(3,5), !(2,−3), and !(−3,−4). Steps: 1. Name the diagonals. 2. Find the midpoint of the diagonals how do you find the coordinates of the intersection of diagonals in a parallelogram. slope formula of all sides. parallelogram with 4 right angles opposite sides are parallel and congruent opposite angles are congruent consecutive angles=180 diagonals bisect each other diagonals are congruent. rectangle. how do you determine if its a rectangle The diagonals of parallelogram bisect each other . The point of intersection of it's diagonals is the midpoint of each diagonal. Given : The coordinates of two opposite vertices of a parallelogram are (4,5)&(1,3). The point of intersection of it's diagonals = midpoint of line segment joining (4,5) & (1,3). (1

Other than a square, a rectangle, a parallelogram, and a rhombus are examples of special quadrilaterals that have diagonals that bisect each other. 2) Perpendicular Diagonals: They are diagonals that intersect each other at right angles (90°). In other words, perpendicular diagonals form four right angles at the point of intersection Hence coordinates of point of intersection of sides BC and AD i.e. . Finally, we find coordinates of point D. The diagonals of a parallelogram bisect each other. Therefore, point is the mid-point of diagonal BD. Expressions for coordinates of mid-point of a line joining points and; x-coordinate of mid-point of the lin COORDINATE GEOMETRYFind the coordinates of the intersection of the diagonals of parallelogram PRYZ given each set of vertices. 10. P(2, 5), R(3, 3), Y( 2, 3), Z( 3, 1) 11. P(2, 3), R(1, 2), Y( 5, 7), Z( 4, 2) 12. PROOF Write a paragraph proof of the following. Given: PRST and PQVU Prove: V S 13. CONSTRUCTION Mr. Rodriquez used the parallelogram. Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(-4, 5), H(3, 5), J(2, -1), and K(-5, -1) Answers: 1 Get Other questions on the subject: Mathematics. Mathematics, 21.06.2019 13:00, elviaortiz402373. What is the equation of the graph that represents f(x)=x^4 stretched vertically by 2 and shifted up.

SOLUTION: the vertices of parallelogram ABCD is A (2,4), B

The intersection of the diagonals of a parallelogram is always the midpoint of each of the diagonals, which means all we have to do is grab two opposite vertices and average their coordinates. Let's use W and Y Some interesting properties of a parallelogram to remember: Opposite sides of a parallelogram have the same length and hence they are congruent. Opposite angles of the parallelogram have the same size/measure. Obviously, opposite sides of a parallelogram are also parallel. The diagonals of a parallelogram bisect each other

In Exercises 25 and 26, ad the coordinates of the intersection of the diagonals of the parallelogram with the given vertices. Q(-1,3), R(5,2), S(1,-2), T(-5,-1) Join our Discord to get your questions answered by experts, meet other students and be entered to win a PS5 For numbers 8 and 9, find the coordinates of the intersection of the diagonals of HJKL wth the gven vertces. 8. H(2, -1), J(1, 3), (6, 5), K L(7, 1) 9. H(-1, 0), (4, 5), J (2, 6), K L(-3, 1) For numbers 10 - 12, determine whether each quadrilateral is a parallelogram. If it is a parallelogram, justify your answer with a property In the case of a PARALLELOGRAM, however, the two diagonals bisect each other, i.e. have the same midpoint. So the coordinates of their intersection are given as the half-sums of the respective coordinates of A and C (or of B and D) Find the y-coordinate of the intersection of the diagonals of parallelogram PRYZ with coordinates P(2,3), R(1,-2), Y(-5,-7), Z(-4,-2). 53 GHJK is a rectangle with m∠1=37 Find the all the possible coordinate from the given three coordinates to make a parallelogram of a non-zero area. Let's call A,B,C are the three given points. We can have only the three possible situations: (1) AB and AC are sides, and BC a diagonal (2) AB and BC are sides, and AC a diagonal (3.

Solved: -metry: CC 2015 Chapter 7 Chapter Test 7 Find The

  1. COORDINATE GEOMETRY Find the coordinates of the intersection of the diagonals of parallelogram PRYZ given each set of vertices. 10. P(2, 5), R(3, 3), Y(22, 23), Z(23, 21) 11. P(2, 3), R(1, 22), Y(25, 27), Z(24, 22) 12. PROOF Write a paragraph proof of the following. Given: ~PRST and ~PQVU Prove: /V > /S 13. CONSTRUCTION Mr. Rodriquez used the.
  2. According to the cosine theorem, the side of the triangle to the second degree is equal to the sum of the squares of its two other sides and their double product by the cosine of the angle between them. Since any diagonal of a parallelogram divides it into two congruent triangles, you can calculate the diagonal by knowing the sides of the parallelogram and the angle between them
  3. CAPACI TRACKS DUSHI KORSOW July 1, 2018. 0. Published by at February 28, 202
  4. Suppose O(2, −5) be the point of intersection of the diagonals AC and BD. Let C( x 1 , y 1 ) and D( x 2 , y 2 ) be the coordinates of the other vertices of the parallelogram. We know that the diagonals of the parallelogram bisect each other
  5. When the diagonals of a parallelogram intersect, they meet at the midpoint of each diagonal. •So, P is the midpoint of

Click hereto get an answer to your question ️ 10. Two consecutive vertices of a parallelogram are \( ( 2,5 , - 3 ) , ( 3,7 , - 5 ) \) and coordinates of intersection point of diagonals is \( ( 4,3,3 ) , \) find the remaining vertices of the parallelogram. Graph in the coordinate plane Find the slope of a line Identify and write equations of parallel and perpendicular lines Geometry: Find and use the interior and exterior angle measurements of polygons Use properties of parallelograms and special parallelograms Prove that a quadrilateral is a parallelogram

As a consequence of this property, the intersection of the diagonals is the centre of two concentric circles, one through each pair of opposite vertices. Notice that, in general, a parallelogram does not have a circumcircle through all four vertices The centroid is at the intersection of the diagonals. To this, the parallelogram is point symmetric and rotationally symmetric at a rotation of 180° or multiples of this. By cutting off one corner and adding this piece on the other side, the parallelogram can be turned into a rectangle Given a rectangle drawn in a coordinate plane, it is possible to find the point of intersection of the diagonals. First, write the vertices in terms of the given side lengths. If the bottom left vertex is (0,0), and the left side has length a, then the upper left vertex is at the coordinate (0,a). Then, given a horizontal length of b + c, the. We are given the coordinates of three vertices of the parallelogram. Let the extremities of the diagonal be A and C, with A(3, - 4) and C(-6, 5). We are also given the coordinates of a third vetex say B and its coordinates are B (-2, 1). We are re..

Hence, coordinate of 4th vertex is (-2,1) New questions in Math in a given equalateral triangle ABC, radius of each smaller circle is 5cm, find the perimeter of triangle AB To find the intersection of two straight lines: First we need the equations of the two lines. If you do not have the equations, see Equation of a line - slope/intercept form and Equation of a line - point/slope form (If one of the lines is vertical, see the section below). Then, since at the point of intersection, the two equations will have the same values of x and y, we set the two equations. A parallelogram is a quadrilateral made from two pairs of intersecting parallel lines. There are several rules involving: the angles of a parallelogram ; the sides of a parallelogram ; the diagonals of a parallelogram Mid point of AC is (a/2 , b/2), mid point of BD is (a/2 , b/2) since these two are coinciding the diagonals of a rectangle bisect each other. Using the properties of diagonals, sides, and angles, you can always identify parallelograms. 2. This was completed in class. definition of rectangle: In geometry, a rectangle is defined as a quadrilateral where all four of its angles are right angles.

by the intersection of the diagonals. 21. Turn in your observations as part of your homework. Find the perimeter of parallelogram RISK if RI = 17 and IS = 13. 13. Prove Theorem 5-1 given. Plot the points and find the coordinates of the fourth vertex. 17. A(1, 0) B(5, 0) C(7, 2) D(? , ?) Sample Problems Section 5-1 Given these. The point of intersection of diagonals of the parallelogram formed by the lines 3x-2y+5=0, x+3y-5=0, 3x-2y + 11=0 and x+3y+3=0 is Q. Straight Lines Report Erro In a parallelogram ABCD coordinates of A and B are (2,-3) and (-2,1) , the diagonals AC and BD meet at the origin O(0,0). we know that diagonals of a parallelogram.

2

They can then find the lengths of the diagonals. Ask if the diagonals of a parallelogram are always congruent (no). Lastly, students will need to construct the intersection of the diagonals (MENU > Points & Lines > Intersection Point(s)) and label it point P. They should find AP, BP, CP, DP, change the shap 3 option is true, becuase if you find the coordinates of midpoints of both diagonals and these coordinates coincides, then these midpoints are placed in one point on the coordinate plane. Geometry, Parallelogram, Triangles Use coordinate geometry to prove that the diagonals of a parallelogram bisect each other In the coordinate plane, draw a square with sides 10 m units long. Give coordinates for each vertex, and the coordinates of the point of intersection of the diagonals. Other 35. Is the quadrilateral a parallelogram? Explain. The diagram is not to scale. 31° 149° A B 36 Is this quadrilateral a parallelogram? To check if its a parallelogram we have to check that it has two pairs of parallel sides. From the equations we can see that the slopes of the lines are 2, −1, 2 and −1. Because two pairs of slopes match, this shape has two pairs of parallel sides and is a parallelogram The three vertices of a parallelogram taken in order are (-1, 0), (3, 1) and (2, 2) respectively. Find the coordinates of the fourth vertex. asked Feb 18, 2019 in Mathematics by Falak ( 66.5k points

In a parallelogram, opposite side lengths are congruent and it has four vertices. The diagonals of the parallelogram intersect each other in such a way that the point of intersection is the. Now the diagonals of a parallelogram bisect each other. So, you know all the sides of triangle OAB. AB = 2. OA = 1/2 * AD = sqrt(13)/2. OB = 1/2 * BC = sqrt(5) / 2 (Your calculation for BC are incorrect!) Now use cosine formula to find angle AOB. Alternately, you can find the equations of the diagonals, and then use coordinate geometry formulas No, you can use some simple trig in one quadrant of the parallelogram to get the angle (in terms of A and diagonals d 1 and d 2). Remember, each quadrant has 1/4 the total area A. Remember, each quadrant has 1/4 the total area A

Solved: Find the coordinate of the intersection of the diagonals of the parallelogram with the given vertices. Q(-1, 3), R(5, 2), S(1, -2), T(-5, -1) - Slade Find the coordinates of the intersection of the diagonals of the parallelogram whose vertices are (-6,2), (2,7), (9, 2), and (1,-3). - 9876493 maryacervantes08 maryacervantes0

Find the coordinates of the point where the diagonals of

  1. Geometry Quadrilaterals Test Review # 1 I Find the coordinates of the intersection of the diagonals of CJABCD with vertices 0), B(6, 3), and D(o, 3)
  2. W 2a X Lesson 8-2 A 7. mЄXYZ ϭ 8. mЄWZY ϭ 70Њ 50Њ 9. mЄWXY ϭ 10. a ϭ Z 30 Y COORDINATE GEOMETRY Find the coordinates of the intersection of the diagonals of parallelogram HJKL given each set of vertices
  3. Calculate certain variables of a parallelogram depending on the inputs provided. Calculations include side lengths, corner angles, diagonals, height, perimeter and area of parallelograms. A parallelogram is a quadrilateral with opposite sides parallel. A parallelogram whose angles are all right angles is called a rectangle
  4. Since the diagonals of a rectangle are congruent MO = 26. Finding length of MZ. To find MZ, you must remember that the diagonals of a parallelogram bisect each other.(Remember a rectangle is a type of parallelogram so rectangles get all of the parallelogram properties) If MO = 26 and the diagonals bisect each other, then MZ = ½(26) = 1
  5. Q. ABCD is a parallelogram, so the diagonals bisect each other. What is the midpoint of the diagonals
How to find the point of intersections of diagonals

Parallelogram Equations & Properties Parallelogram area = (height × AB) or (height × DC) Lines AC and DB are called diagonals. Diagonals bisect each other. Diagonals are not equal. Diagonals do not bisect the vertex angles.. Line 'h' is perpendicular to lines AB & DC and is called the height or altitude. • BOTH pairs of opposite sides are equal 6. COORDINATE GEOMETRY Determine the coordinates of the intersection of the diagonals of with vertices A(-4, 6), B(5, 6), C(4, -2), and D(-5, -2). SOLUTION: Since the diagonals of a parallelogram bisect each other, their intersection point is the midpoint of or the midpoint of Find the midpoint of .Use the Midpoint Formula . Substitute Construct point E as the intersection of the diagonals AC and BD. By the diagonals are transversals, so the marked angles are equal: angle BAE = angle DCE and angle ABD = angle CDE. Thus by AA, the triangles ABE and CDE are similar Q6 If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y. Answer: Let the given points . Since the diagonals of a parallelogram bisect each other. Intersection point O of diagonal AC and BD also divides these diagonals. Therefore, O is the mid-point of AC and BD

What is the point of intersection of the diagonals of the

  1. The diagonals bisect each other; The diagonals are congruent; See Rectangle definition for more. Dimensions of a rectangle. The dimensions of the rectangle are found by calculating the distance between various corner points. Recall that we can find the distance between any two points if we know their coordinates
  2. e whether each quadrilateral is a parallelogram. Justify your answer with a property if it's a parallelogram or a
  3. All the properties of a parallelogram. Diagonals are perpendicular. Diagonals bisect the vertices. A. C. D. B. Show that. All four sides are congruent. OR It is a parallelogram AND two consecutive sides are congruent. OR It is a parallelogram and the diagonals are perpendicular. Quadrilateral with all right angles AND all side

Find two relationships that appear to be true about the angles of a parallelogram. 1. 2. C. Diagonals Construct diagonals and . Construct their point of intersection and label it E. Measure the segments listed below. Then, change the shape and record the values. Length 1st shape 2nd shap Learn to use the formula, A=bh to find the area of parallelograms. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked

ID: A Page 2 of 5 8 ANS: C PTS: 1 DIF: L3 REF: 6-8 Applying Coordinate Geometry OBJ: 6-8.1 Name coordinates of special figures by using their properties NAT: G.3.f TOP: 6-8 Problem 2 Using Variable Coordinates KEY: algebra | coordinate plane | isosceles trapezoid | midsegment DOK: DOK 2 9 ANS: OD; the diagonals of a parallelogram bisect each other. PTS: 1 DIF: L2 REF: 6-2 Properties of. ____ 12. Find when quadrilateral ABCD is a parallelogram. a. 57° c. 123° b. 147° d. 33° ____ 13. Find the coordinates of the intersection of the diagonals of with.

Diagonal of a Parallelogram Formula with Solved Example

  1. Play this game to review Geometry. Which of the following statements describe properties and characteristics of squares? I. Consecutive angles are supplementary II. Diagonals are perpendicular bisectors and angle bisectors. III. It is the only regular quadrilateral IV. Four right isosceles triangles form the intersection of the diagonals
  2. If you want to find the coordinates of the intersection of the diagonals of parallelogram AB CD given the vertex points you would need to
  3. Answers: 2 on a question: A parallelogram has the following properties: area = 130 cm2, perimeter = 56 cm, and angle of intersection of the diagonals = 49°. Find the dimension of the shorter side of the parallelogram

A parallelogram is Abbreviation: Opposite Sides - Opposite Angles - Opposite angles are congruent An angle is supplementary to both its consecutive angles Diagonals bisect each other One pair of opposite sides are congruent and parallel Find the coordinates of the intersection of the diagonals of HJKL with the given vertices. H(2,3) J(1. many coordinate planes as possible within reason already set up with the first parallelogram already included (second, so that they can be removed).Instructions for preparing the grid are included below: • The teacher will have used masking tape of Color #1 to create coordinate plane axis on the floor of the classroom before class begins is a parallelogram because opposite sides are parallel. Determine and. What is their relationship? Write the equations of and . Are the diagonals of perpendicular? Hint (c): Find the slope of each diagonal. What are the coordinates of the intersection point of diagonals and ? Use the eTool below to solve for each part of the problem. Click the.

CBSE NCERT Solution for Class 10 - Maths - Coordinate GeometrySelina Concise Mathematics Class 10 ICSE Solutions Section

(6-3) Which statement can you use to conclude that quadrilateral XYZW is a parallelogram? a. c. a quadrilateral with the diagonals bisecting each other 6. (6-1) Find the values of the variables and the lengths of the sides of this kite. 7 The following code is compiled to display a parallelogram with opposite sides marked with | and || to indicate congruence. I would like to mark the eight angles at the vertices similarly. I w.. Click hereto get an answer to your question ️ If ( - 1,2),(2, - 1) and (3,1) are any three vertices of a parallelogram then the fourth vertex (a,b) will be such that Contest Fl

Midpoint Formula WorksheetsICSE Books Solution: Selina Concise Mathematics Class 10Large Suburban House – Minecraft House DesignML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12

Diagonals of a parallelogram. Next: Vector velocity and vector Up: Motion in 3 dimensions Previous: Scalar multiplication Diagonals of a parallelogram The use of vectors is very well illustrated by the following rather famous proof that the diagonals of a parallelogram mutually bisect one another Since the definition of a parallelogram is a quadrilateral with 2 pairs of parallel sides, we can use this fact to find the coordinate to the 4 vertex. A pair of parallel side also means that. For questions 5-13, find the measures of the variable(s). All the figures below are parallelograms. Use the parallelogram to find: In the parallelogram and . (diagram is not drawn to scale) Plot the points and use parallelogram for problems 22-25. Find the coordinates of the point at which the diagonals intersect. How did you do this If the diagonals of the parallelogram are congruent, then it is a rectangle. Use the Distance Formula to find the lengths of the diagonals. The diagonals are not congruent. So, the parallelogram is not a rectangle. Check whether the two diagonals are perpendicular. The diagonals are not perpendicular. So, it is not a rhombus either

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