For the parallelogram ABCD with vertices A(0, 0), B(a,0), C(a+b, c), and D(b,c) to be a rhombus, it is necessary that a = √b²+c². Select one: True False

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: Question 16 Find the value of x if PQRS is a parallelogram. R |(3x + 25)° (5х — 5)° The valule of x…

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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: order for the parallelogram to be a rhombus x= 3x+11 x+23

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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: 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: Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a…

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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: 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: 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: Let the vertices of parallelogram MNPQ be the points M(0,0), N(a,0), P(a+b,c), and Q(b,c). Which…

A: Consider a parallelogram MNPQ with vertices  M(0,0), N(a,0), P(a+b,c), and Q(b,c)

Q: A quadrilateral has the vertices D (-4, -1), E (0, -4), F (6.0) and G (0.4). Verify for each pair of…

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Q: Ashantiis surveying for a new parking lot shaped like a parallelogram. She knows that three of the…

A: Solution:- It is given that ABCD is a parallelogram having vertices  A(0,0)B(5,2)C(6,5)D(h,k) we…

Q: (1) 100 (20)

A: True or false: The fourth vertex of the parallelogram shown is (a+c, d)

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: Give the coordinates of C" of Rhombus ABCD with vertices A(1,-8), B(3,-9). C(4.-11), D(2.-10) after…

A: Given, vertices A(1,-8), B(3,-9), C(4,-1), D(2,-10) after reflecting across the x-axis sign of y…

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: Show that A(-4, – 1), B(0, –2), C(6, 1), and D(2, 2) are vertices of a parallelogram.

A: Given  A(-4,-1), B(0,-2), C(6,1) and D(2,2) To show: ABCD are vertices of a parallelogram.

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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