5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a) Determine the coordinates of Point D using your method of choice. b) Determine the area of the parallelogram ABCD. c) Explain how you would prove that ABCD is a parallelogram. d) Determine the area of the AABC.

Q: Find the area of the parallelogram with the vertices A(-5,–4), В(2, —4), С(4,4) and D(-3,4).

A:

Q: Use slopes to show that the quadrilateral with vertices at (1, 3), (-5/2, 2), (-7/2, 4), and (2, 1)…

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A: For taking reflection over x-axis take mirror image about x-axis

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A: In parallelogram, opposite sides are parallel to each other.Hence their slopes are always same.

Q: Find the perimeter of the triangle with vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).

A: Given:The vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).The perimeter of the triangle is AB + BC…

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A: A quadrilateral is a parallelogram if: a) length of opposite sides are equal b) midpoint of…

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

A:

Q: Prove that the points (-2, -1), (1, 0), (4, 3), and (1, 2) are the vertices of a parallelogram. Is…

A:

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…