You are given the points A(-4, 1), B(2, 3), C(4, 9), and D(-2, 7). a. Show that ABCD is a parallelogram with perpendicular diagonals.b. What special name is given to ABCD?

Q: ABCD is a parallelogram with A = (1, 2), B = (3, 8), C = (9, 10), and D = (x, y). Find xand y. %3D…

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Q: 3. Given ABCD is a parallelogram, find the value of x and y 5y-8 (бх-4) (3х-5) 27-2y

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Q: Plot the points A(1,0), B(5,0), C(4, 3), and D(2, 3) on a coordinate plane. Draw the segments AB,…

A: We have to plot the points A(1,0) ,B(5,0),C(4,3) D(2,3) on the coordinate plane. Next we have to…

Q: The rectangle whose vertices are A(0, 0), B(a, 0), C(a, b), and D(0, b) is shown. Use D (0, b) C (a,…

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Q: ABCD is a parallelogram with A (0,0), B(2,4), and C (10,4), Find the possihl

A: follow next step

Q: Find the area of the parallelogram with vertices A(−4, 5), B(−2, 8), C(2, 6), and D(0, 3).

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Q: Find the value of x, y, and z in the parallelogram below.

A: Given,

Q: Find the perimeter of the polygon with the vertices Q(−3, 2), R(1, 2),  S(1,−2),Q(−3, 2), R(1, 2),…

A: Perimeter of polygon = Sum of length of all sidesLet A(x1, y1) and B(x2, y2) . Then,   Length of…

Q: 3 J(5, -1), K(8, 2). L(11, 10), M(8, 7)

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Q: A) Find the measures of the angle between the diagonals of the rectangle whose vertices are:…

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Q: snip

A: Given Parallelogram vertex।  A(1,1,1,1)  B(2,3,4) C(6,5,2) , D(7,7,5) Area = ∥AB ×AD∥ AB =…

Q: ABCD is a parallelogram. If BE = x + 8 and ED = 5x, find BD. B A

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Q: Given parallelogram ABCD with A(-2, -2), B(1, 2), C(4, -2), and D(1, -6), select all of the…

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Q: Given that the figure below is a parallelogram, find the value of y. 68° (-4z+8)° (-4у-8)° (-2x-8)°

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Q: ABCD is a parallelogram, ABCD is a parallelogram, if AO = 3, BO = 4 AB = 6, AC + BD = ?

A: Diagonal of parallelogram bisect each other. It means AO=OC and BO = OD

Q: 1. Rhombus ABCD with vertices A(2, 6). B(6, 7). (5, 3), and D(1,2): 180° A' B'(_ , __ D' 1777

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Q: The area of a parallelogram determined by the points A(6,1,3), B( 1,0,4),C (4,2,6), D(9,3,5)

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Q: When ΔABC is fitted together with ΔDEF to form a parallelogram, what is the area of the…

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Q: Consider the parallelogram defined by A(3,6), B(7,10), C(15,10), and D(11,6). Determine the area of…

A: Solution

Q: 5. Is it a parallelogram? If no, explain why not. If yes, decide whether the parallelogram is a…

A: In the question we have to find whether the figure is parallelogram or not.

Q: Suppose that ABCD is a parallelogram, and B= (0,b), A = (-1,3), C = (4,4), D = (a,0) What are the…

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Q: Find measures of the angles between the diagonals of the rectangle whose vertices are A = (1,0), B =…

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Q: find the perimeter of the quadrilateral with vertices p (1,4), Q (-4, -1), R (1, -6) and S (5, -1)…

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Q: Suppose that ABCD is a parallelogram, and B= (2,b), A = (-1,1), C = (6,2), D = (a, -1) %3D %3D %3D…

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Q: J(5. -1), K(8, 2). L(11, 10), M(8, 7)

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Q: Consider ABCD, with A (-4, 4), B (1,6), C (–1, 1). and D( 6, 1). ABCD Is a parallelogram. Show that…

A: We know that, the diagonals of a parallelogram bisect each other at right angles. Therefore, mid…

Q: 5. Given that ABCD is a parallelogram, find the values for x and y. 7y-4 X+4 D AY 2х- 4

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Q: Find the area of the parallelogram with vertices A(−3, 0), B(−1, 5), C(7, 4), and D(5, −1).

A: To find the area of the parallelogram when four vertices are given, we should take vector methods to…

Q: Find the values of x and y in the parallelogram. D 24 х-2 C 11 O x= 13, y = 24 O x = 24, y = 13 O x=…

A: We have to find x and y

Q: ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b, find in…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: . Prove that the figure with the coordinates given is a parallelogram. (Use diagonals bisect each…

A: Note : A & C are diagonally opposite points  And, B & D are diagonally opposite points.

Q: Find the area of the parallelogram whose vertices are given below. A( - 1,2) B(2,0) C(7,3) D(4,5)

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Q: Use any method to determine whether the quadrilateral is a parallelogram B(-2, -9), C(0, -5), D(6,…

A: Given Data: Point B: xB, yB=-2, -9 Point C: xC, yC=0, -5 Point D: xD, yD=6, -3 Point E: xE, yE=4, -7…

Q: Find the area of the parallelogram with vertices ?(−1,2,4), ?(0,4,8), C(1,1,5), and D(2,3,9).

A: Let us take  A = (−1,2,4), B = (0,4,8), and C(1,1,5).

Q: / a?y dA, A:= rectangle with vertices (0;0), (0;4), (6;0), (6;4).

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Q: (8p – 17)% (7p-8)° D (6q + 17)%

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Q: 6. Find the values of x and y so that ABCD will be a parallelogram. 24° (у — 10)° (y- 32° (4x)° O x…

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Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (1,…

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Q: Choose the parallelogram that best matches the diagonals shown: 니.. 2.

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Q: Find the area of the parallelogram with vertices A(−3, 0), B(−1, 4), C(6, 3), and D(4, −1).

A: The area of the parallelogram with the vertices is given by,

Q: 10) For what values of x and y must ABCD be a parallelogram?

A: 7 here from property of parllelogram lets diagonal bisect at O point then AO = OC 3x = 4x -5 x =5…

Q: The corners for a fence are located at A (7,4), B (1,4), C (3,10), and D (5,10). Which of the…

A: We can find shape by draw on xy plane  OR another way to check lengths of line of points A B C D And…

Q: 1. Complete the following statement using your knowledge of parallelograms: "A square is rectangle…

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Q: Show whether or not the diagonals of parallelogram ABCD bisect each other given A(-2,2), B(1,4),…

A: The vertices of the parallelogram are given  A(-2, 2) B(1, 4) C(2, 8) D(-1, 6)

Q: Find the area of the parallelogram with vertices (0,0), (4,0), (5,2) and (1,2). (1,2) (5, 2) (0,0)…

A: Here, we need to find the area of the given parallelogram.

Q: A

A: A parallelogram has all the properties of ..

Q: Find the perimeter of the parallelogram if C = 21, D = 26, & F = 36. C

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Q: ABCD is a parallelogram with A (5, 4), B (-1,-2), and C (8,-2). Find the coordinates of D.

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Q: Determine the point d so abcd is a parallelogram where A(-3,1) ,B(2,10) ,C(4,6)

A: I have provided this answer in Step-2.

Q: Find the area of the parallelogram with vertices  A(−3, 5), B(−1, 8), C(3, 6), and D(1, 3).

A: We first have to find the AB and BC vectors. A(−3, 5), B(−1, 8), C(3, 6)AB=(-1 -(-3) , 8-5)…