Show that squares are the only rect-angles with perpendicular diagonals.

Q: Sketch the points B = (-5, 0) and C= (-3, 3).

A: Given data: The first point given is B=(-5,0). The second point given is C=(-3, 3). The sketch of…

Q: Draw the diagonal for the trapezoid below. 7+ 6 5 -7 -6 -5 4 -3 -2 -1 4 3 2 71 + -1 -2 3 -4 2 3 4 5…

A: We can find the length of the diagonals in the below steps.

Q: Graph X(-1.2). -2 -1 2. -1 -2

A: The point is X(-3/2,2) i.e (-1.5,2)

Q: A parallelogram has both pairs of opposite sides equal. True or false?

A: Since we know that a parallelogram has a pairs of opposite sides equal and parallel

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: Explain how to find the distance between two parallel planes.

A: Explain how to find the distance between two parallel planes.

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: P(0,0,0), Q(-4,-5,4), R(-4,-3,6), S(-8,-8,10). 0

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Q: What does a [-20, 2, 1] by [-4, 5, 0.5] viewing rectangle mean?

A:

Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…

Q: (-4, - 3), (8, 7). What is the area of a triangle whose vertices are and (8, - 3)?

A: The area of the triangle with the vertices at (x1,y1), (x2,y2) and (x3,y3) is given by the following…

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: Two nonadjacent vertices of a rectangle  are (-1,-2)   and (5,3). Find the length of the diagonal of…

A: Consider the given points -1,-2 and 5,3   Consider the point as, x1,y1=-1,-2x2,y2=5,3   The distance…

Q: You are at the point (3,2,3)(3,2,3), standing upright and facing the xzxz-plane. You walk 4 units…

A: Given: You are at the point (3, 2, 3 ), standing upright and facing the xz-plane. You walk 4 units…