Find the coordinates of the vertices A, B, and C of the rectangular box shown to the right.

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

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Q: Find the coordinates of the circumcenter of APQR with vertices P(-2,5) , Q(4,1), and R(-2, - 3).

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Q: . Determine whether the polygons with the given vertices are similar. A(-4, 4), B(6, 4), C(6, -4),…

A: Two polygons are said to be similar if they have the same shape and the corresponding sides are…

Q: Find the coordinates of a fourth point so that the four points form the vertices of a rectangle. 64…

A: We have to find the coordinates of the fourth vertex to make it a rectangle.

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

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Q: Find the midpoint of the sides of the quadrilateral LOVE with vertices L(-3, -2), O (0, 6), V(4, 4),…

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Q: Find the coordinates of the vertices A, B, and C of the rectangular box shown to the right. (0,0,8)…

A: Given,  A rectangular box with coordinate of two vertices are 4, -7, 0  and  0, 0, 8    We have to…

Q: find the area of the parallelogram with vertices (2,4), (3, 8), (7, 12), and (8, 16). Answer:

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Q: Show the vertices of the square. Given: A(2,4), B(2,-1), C(7,-1), D(7,4)

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Q: Graph the image of the polygon reflected over the given line. 1. x = -1 2. y = 1 y C A B B C

A: (1) Graph the image A'B'C' of given figure ABC about the line x = -1:

Q: Find the coordinates of the intersection points A, B, and C in the image below

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Q: Find the areas of the parallelograms whose vertices are given A(0, 0, 0), B(3, 2, 4), C(5, 1, 4),…

A: Given: The vertices of parallelogram are A(0,0,0) , B(3,2,4) , C(5,1,4) and D(2,-1,0) To find: Area…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-8, 5,…

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Q: C is the center

A: The circle with center C is shown. The two triangles inside the circle are isosceles and congruent…

Q: Determine graphically, the vertices of the triangle formed by the lines y =3,    x = 3y, and x + y =…

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Q: Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1)…

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Q: Graph the coordinates of quadrilateral ABCD. A(-3, 0) B(2, 4) C(6, -1) D(1, -5)

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Q: Find the area of the parallelogram with vertices P(3, 3, 2), Q(6, 5, 4), R(11, 9, 13), and S(8, 7,…

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Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 3), (5, 2), and D(3, -1).

A: According to question given that Vertices of parallelogram A=(-3,0)B=(-1,3)C=(5,2)D=(3,-1)

Q: The center of D, is (Ro, R270}

A: THIS IS FALSE.

Q: Find the areas of the parallelograms whose vertices are given A(0, 0), B(7, 3), C(9, 8), D(2, 5)

A: Given vertices of parallelogram: A(0, 0), B(7, 3), C(9, 8), D(2, 5) Now, Vector AB is…

Q: Find the areas of the parallelograms whose vertices are given A(-6, 0), B(1, -4), C(3, 1), D(-4, 5)

A: Given: Vertices of parallelogram are A-6,0, B1,-4, C3,1, D-4,5 To determine: Area of the…

Q: Determine graphically the coordinates of the vertices of the triangle, the equation of whose sides…

A: Given the equations of sides of the triangle are

Q: Find the are of the parallelogram with vertices P1, P2,P3,P4. P1=(4,1,1) P2 = (4,4,3) P3 = (2,-3,0)…

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Q: Find the area of the parallelogram with vertices (5,3), (8, 7), (10, 9), and (13, 13). Answer:

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Q: Find y dA, where D is the triangle with vertices (0,0), (1,2), and (3,0).

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Q: Find the areas of the parallelograms whose vertices are given A(-1, 2), B(2, 0), C(7, 1), D(4, 3)

A: Given vertices of the parallelogram are A-1,-2, B2,0, C7,1 & D4,3. Area of parallelogram…

Q: 10. Quadrilateral ABCD with vertices A(-4, -1) B(0, -2), C(-1, -6), and (-6, -3) in the y-axis. A'(…

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Q: Graph the image of rectangle BCDE after a reflection across the y-axis. 10 8. -10 -8 -4 -2 12 14 9.…

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Q: The children's section is rectangular and has three of its corners at (-10, 10), (-10, 4), and (-3,…

A: Children's section corners coordinates are: (-10, 10), (-10, 4), and (-3, 10) To find the 4th…

Q: Graph the image of the polygon after a reflection in the line y = -x. Ay 4 A 2 -2 4 6 x -2 4. B.

A: Use transformation matrix for lime y=-x.

Q: Verify that the points are the vertices of a parallelogram, and find its area A( 1, 1, 3), B(-5, 7,…

A: let the points be A1,1,3 , B-5,7,1 , C-3,10,-6 , D3,4,-4 verify that the points are the vertices of…

Q: Find the area of the parallelogram with vertices A(-4, 1), B(-2, 4), C(2, 2), and D(0, -1).

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Q: Convert the following equations to its standard form and identify the vertex and focus.…

A: Given- 3y2+8x+24y+40=0 To find- The standard form of the conic section with it's vertex and focus.…

Q: Determine whether the four vertices form a parallelogram: P(1, - 4), Q(3, 11) , R(6, 11), S(4, - 4)…

A: Diagonals of parallelogram bisect each other.So we will find  mid points of each diagonal and see if…

Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 7), C(9, 6), and D(7, –1).

A: Area of a parallelogram with vertices(-3,0) , (-1,7) , (9,6) and (7,-1) isgiven byA = 12 |…

Q: Find the area of the rectangle ABCD with vertices 4(-3,0), B(3,2), (4,-1), and D(-2,-3) B(3,2) 2…

A: Area of rectangle is length× Breadth

Q: Find the area of the parallelogram with the vertices A(-1,2,4), B(0,4,8), C(1,1,6), and D(2,3,10).

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

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Q: Find the area of the parallelogram whose vertices are: A(0,0,0) B(5,2,6) C(9,-1,6) D(4,-3,0)

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Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 6), C(8, 5), and D(6, -1).

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, -2,…

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Q: The coordinates of the vertices of a triangle are M (-4,1), A (3,3) and B (2,-3).

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Q: In the standard (x, y) coordinate plane, if a square has the vertices (-2,-3), (2,–3), and (2,1),…

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Q: Graph the image of the polygon after a reflection in the line y = x. 4 -2 4 -2 B.

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Q: Graph the first-octant portion of each plane. 4x + 2y + 3z = 24

A: We have to find the graph the first-octant of the plane. To find x- intercept of the plane put y=0…

Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, –1).

A: Given:- Parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1). To find:- Area of…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-5, 7,…

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Q: Find the area of a rectangular garden with vertices at A(3,4), B(3,-2) C(8,4) and D(8,-2).

A: Given:  Vertices of rectangular garden:    A(3,4), B(3,-2) C(8,4) and D(8,-2)

Q: Determine whether the four vertices form a parallelogram: D(2, - 4) , E(4, 8), F(10, 8), G(8, - 4) .

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