Show that quadrilateral RSTV is an isosceles trapezoid. y v (a + d, e) T (c - d, e) R (a, b) S (c, b)

Q: In the equilateral triangle below, what are the coordinates of P? R(-a, 0) Q(a, 0) O (0, av2) O (0,…

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Q: Write a paragraph explaining how the distance formula giving the distance between two points (x1,…

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Q: Find the distnace between the point and the plane. (2,8,4) 2x + y + z = 5

A: We know, The distance from (p,q,r) to the plane ax+by+cz+d=0 is  a.p+b.q+c.r+da2+b2+c2

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: 8. Given: The coordinates of rectangle DEFG are D(0, b), E(a, b), F(a, 0), and G(0, 0). Prove: The…

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Q: 2. Consider the triangle with vertices at A = (0,0), B = (-6, –9), and C = (-15,0). (a) Find the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0) What…

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Q: Are these points collinear? a) A(-1, –2), B(3, 2), and C(5, 5) b) D(a, c – d), E(b, c), and F(2b —…

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Q: Example Give quadrilateral ABCD with verticesA(4, 7), B(8, 3), C(6,-1), andD(0, 5). Prove: ABCD is a…

A: Given : Quadrilateral ABCD with vertices A(4,7),B(8,3),C(6,-1) and D(0,5). So, Graph is :

Q: Translate quadrilateral BDFH using the rule (x, y) (x+ 6, y- 10) and label the image D B

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Q: ABC is a right-angled triangle at A and AB > AC. Bisect BC in D draw DE perpendicular to the…

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Q: (2, 3.5)

A: Here, the given function is,

Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0)…

A: As per the question we are given the following 3d coordinates of a triangle as : v1 = (-2, 3, 6) v2…

Q: In ARST, SV bisects y ZRST. Find the coordinates of point T in terms of a. S (a, a) 2a T?, ?) V (2,…

A: Given that, Let ∠TSV=θ and ∠VSR=θ(∵SV is angle bisector)

Q: Are these points collinear? a) A(-1, - 2), B(3, 2), and C(5, 5) b) D(a, c-d), E(b, c), and F(2b - -…

A: If the points are colinear then the slope of the lines making with the points are same. Find the…

Q: Can a rhombus be a rectangle? When can a rhombus be a rectangle?

A: A rhombus is defined as a parallelogram with four equal sides.  A rectangle has two pairs of…