Let A= (−4,5,−4),B= (−5,2,−5),C=(−8,4,−7), and D= (−7,7,−6). Find the area of the parallelogram determined by these four points, the area of the triangle ABC, and the area of the triangle ABD correctly.

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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: Show that the points A=(3,4),B=(1,1) ,and C=(-2,3) are the vertices of an isosceles triangle

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Q: Find the values of x and y that make the quadrilateral a parallelogram. (4x + 13)° (4y + 7)° (3x-…

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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: Given W(-1,5,2), X(6,-2,3) and Y(-2,-7,-3), are points in 3D, then determine the area of…

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

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Q: All parallelograms have two pairs of parallel sides. O True O False

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Q: 14a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0) * B * (3, 4) , C(- 2, 6) and D(-…

A: Explanation of the solution is given below...

Q: Find the area of a quadrilateral with vertices A( - 1 . - 1), 5(9, 4), C(20, 6).and D(10, 1).

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Q: Consider points A(2, –3,4), B (0, 1, 2) and C(-1,2,0). 1.4 Find the area of parallelogram ABCD with…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The quadrilateral ABCD is to be reflected across the line y = x, as shown in the diagram, to give a…

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Q: Consider the regular hexagon shown on the coordinate plane. (-2. 3.5) (2.3.5) (4,0) (4. 0) (-2,-3.5)…

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Q: Construct the perpendicular bisector of AB. A B

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Q: 17. In parallelogram ABCD, if ED = 7x-213 and BD = 16x- 38, find BD. %3D B. C

A: Property of parallelogram:   The diagonals of parallelogram bisect each other. (17).  Using this…

Q: The points A, B, C and D represent the numbers Z₁, Z2, Z3 and z4 and O is the origin. 9 (a) If OABC…

A: We have to find value of Z3

Q: Find the value of x that makes the quadrilateral a parallelogram. Зх + 5 5х - 9

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Q: Show that the points A = (3, 4), B = (1, 1), and C = ( - 2, 3) are the vertices of an isosceles…

A: Given: Points are A = (3, 4), B = (1, 1), and C = ( - 2, 3)

Q: For any parallelogram, provethat the sum of the squares of the lengths of the sides equalsthe sum of…

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Q: Find the area of the parallelogram that has adjacent sides v=i−3j+2k and w=i−4j−3k.

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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: Consider the points A: (3, -3, 1), B: (0, 3, 2), and C: (-4,2,0). Find the area of parallelogram…

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Q: In quadrilateral ABCD, ZA-(3x-5)°, ZB=(2x-15)°, (2x+35)° and ZD=(x+25)°. What value of x will make…

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Q: Let A (1, 2, -1), B (3, -1,4) and C (2,6,2) be three vertices of parallelogram ABCD a-Find the…

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Q: Use the diagonals to determine whether the parallelogram with the given vertices is a rectangle,…

A: Given: P(-5, 2)Q(4, 5)R(6, -1)S(-3, -4)

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 areas of the triangles whose vertices are given A(1, 0, 0), B(0, 2, 0), C(0, 0, -1)

A: To find the area of the triangle

Q: What value for X would guarantee that the quadrilateral shown is a parallelogram? 2x Зх + 2 5x – 6…

A: The parallelogram is a quadrilateral whose opposite sides are equal. It is observed that the length…

Q: Find the values of x and y that make the quadrilateral a parallelogram. (4x + 13) (4y + 7)° (3x -8)°…

A: Given,        A quadrilateral ABCD is a parallelogram is shown below :

Q: Find the four angles of a cyclic quadrilateral ABCD in which ZA = (2x – 1)" ZB=(y+5)° ZC = (2y +15)…

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Q: Find the circumcenter and circum-radius of the triangle whose vertices are (0,0),(8,0) and (0,6).…

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Q: In the drawing, suppose that WY and XZ bisect each other. What type of quadrilateral is WXYZ? W Y

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Q: Find the area of the parallelogram with vertices A(4, 2), B(10, 3), C(6,7), and D(12, 8). Area:

A:

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: For what value of x must ABCD be a parallelogram?

A:

Q: Find the four angles of a cyclic quadrilateral ABCD in which ZA = (2x – 1)" ZB = (y+5)" ZC =(2y…

A:

Q: Find the area of the parallelogram with the vertices A(3; 2), B(5; 4), C(4; 1).

A: we have to calculate the area of parallelogram using formula Area of parallelogram=2×Area of…

Q: Let ​A(66​,33​), ​B(99​,44​), and ​C(55​,66​) be three points in a coordinate plane. Find the…

A: Let D=(x,y). a) IF AB is a diagonal, then CD is another diagonal. We know that diagonals of a…

Q: Determine if the parallelogram ABCD is also a rectangle, rhombus, or square

A: Since you have asked multiple question, we will solve the first question for you.  If you want any…

Q: Consider points A(2, –3, 4), B (0, 1, 2) and C(-1,2,0). 1.4 Find the area of parallelogram ABCD with…

A: Given points are                                                       A=(2, -3, 4)B=(0, 1, 2)C=(-1,…

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: Calculate the area of the parallelogram with the given vertices. (-1,- 2), (2,5), (8,2), (11,9) O A.…

A:

Q: Find the value of and y quadrilateral is a parallelogram. so that the 2у — 11 y+3 3x 4x-3

A: In a parallelogram,  Diagonals bisects each other. So,  3x = 4x -3 => x = 3

Q: Find the value of x, y, and z in the parallelogram below. (y+3)° (-х-9)° (-27-2)° 62º y = = Z ||

A: topic - parallelogram and its angles

Q: Consider points A(2, –3,4), B(0, 1,2) and C(-1, 2,0). 1.4 Find the area of parallelogram ABCD with…

A:

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: 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)…

Q: Find the area of the quadrilateral with vertices A(-2, 2), B(3, 6), C(9, 6), and D(4, 2). square…

A: Given vertices of quadrilateral:

Q: Given that z1 = 1+i, z2 = 2+ 6i and z3 = -1+7i, find the three possible values of z4 so that the…

A: Given that z1=1+iz2=2+6iz3=-1+7i We need to find three possible values of z4 such that z1,z2,z3,z4…