Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a parallelogram, not a rectangle. (No points will be given for drawing a diagram).

Q: b) Use the idea in part (a) to determine an explicit one-to-one correspondence between zt and the…

A: as you asked only the solution for (b) , the solution of the part (b) is given below...

Q: QR is located at Q(-5, -8) and R(-1, 3). Which pair of points would form a segment congruent to QR ?…

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Q: TRIGONOMETRY Find the value of each trigonometric ratio F 12 10 5 8 13 A E 6 D sin A = sin D = cos A…

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

A: Given that Vertices of quadrilateral are A1, 3, B-72, 4, C-52, 2 and D2, 1   It is known that the…

Q: If A (-2,-1),B(a,0),C(4,6) and D(1,2)are the vertices of a parallelogram, find the values of a and…

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

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

A: I'm doing the question myself without using the hint.  Let PQRS be a parallelogram.  Let PQ, QR, RS…

Q: Graph the points A(-5, 0), 5(3, 2), C(5, 6), and D(-3, 4). Then showthat ABCD is a parallelogram by…

A: Given  The points A(-5, 0), 5(3, 2), C(5, 6), and D(-3, 4) , and  ABCD is a quadrilateral .

Q: Consider the points A(-10,8), B(-1,-13), C(-4,-15). Given that ABCD is a parallelogram, find the…

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Q: a) (2, - 3) and (2, 5) b) (3, - 2) and (-7, - 2) Find the distance between each pair of points: c)…

A: since you have posted multiple questions so we solve the first three for you, to get the remaining…

Q: Find the vertices of the triangle whose sides are the lines x = 0, x + y + z = 0, and 3x - 4y + 5z =…

A: Sol:- we need to find the points where these lines intersect.We'll denote the first intersection…

Q: Show that A(-4, 2), B(1, 4), C(3, -1), and D(-2, -3) are vertices of a square.

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Q: If the lines a₁x + b₁y+C₁ = 0 and a₂x + b₂y + C₂ = 0 cut the coordinate axes at concyclic points,…

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

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Q: 1. Given: (x - 5)² = -20(y + 7); what is the vertex? A) (-5, -7) O A OB O O D B) (-5, 7) C) (5, -7)…

A: Find the vertex of the given parabola

Q: The points P(-1,0, 4), Q(1, 2, 4) and (0, -1, 3) are vertices of a right triangle.

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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…