A quadrilateral has the vertices D (-4, -1), E (0, -4), F (6.0) and G (0.4). Verify for each pair of adjacent sides that the line segment joining their midpoints is parallel to a diagonal of the quadrilateral.

Q: Use slopes to show that the square with vertices at (-2, 5)9, (4, 5), (4, -1), and (-2, -1) has…

A: To show: The diagonals of the square are perpendicular to each other. Given: The vertices of square…

Q: Use slopes and the distance formula to show that the quadrilateral whose vertices are (0,0),(1,3)…

A: Let the given quadrilateral be ABCD The vertices of the given quadrilateral are…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, -2,…

A: FIND THE AREA

Q: Consider a quadrilateral with vertices ܵS(-7, 2), Q(0.5, 3), R(3/2, -9/2), E(-6, -5.5) Determine…

A: The given question can be solved by using distance formula and the property of various types of…

Q: 1. Quadrilateral ABCD with vertices A(-4, 1), B(-2, 3), C(0, -2), and D(-5, -2): k = 3 A'L B'( C'(L-…

A: We are given with the vertices of quadrilateral  and need to plot the graph.…

Q: Given the points (x,y): (2,4), (3,7), (6, 5), (9,10) find f(8) using quadratic splines method.

A: Given that the points are x,y:2,4,3,7,6,5,9,10 We have to use quadratic splines method to find the…

Q: Show that the points A(2, -1), B(1, 3), and C(-3, 2) are verticesof a square, and find the fourth…

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Q: Line AB is formed by the vertices A (1, 2, -2) and B (-1, 0, 2). If C is the midpoint of AB, find…

A: Given,  the coordinates of A and B which forms line AB  And c is the mid point is AB Hence the…

Q: Show that (km) is the number of paths in a square grid from (0,0) to the point (m,n) on the diagonal…

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Q: Find the value of x in the rhombus. (3x - sx)° (4x - 24).

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Q: Find the midpoints of the legs, then the length of the median of the trapezoid with vertices C(-4,…

A: Solution: Consider the given that vertices of trapezoid is C (-4, -3), D(-1, 4), E(4, 4), and F(7,…

Q: Determine whether these four vertices form a parallelogram: S(- 2, - 8), (0.5, 8) , U(8, 0) , V(5.5,…

A: Given: The given points are: S(-2, -8) T(0.5, 8) U(8, 0) V(5.5, 0)

Q: Find the perimeter of the quadrilateral with vertices P (-3, 0), Q (-8, -5), R (-3, –10), and S (1,…

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Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1), and M(-1,2) is a square.

A: We have to prove that the quadrilateral given is a Square

Q: 9. Square ABCD with vertices A(-7, 5), B(-4, 7), C(-2, 4), and D(-5, 2): 90° counterclockwise 10.…

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Q: Use slopes to show that the square with vertices at (-2, 5), (4, 5), (4, -1), and (-2, -1) has…

A: Given that the four vertices of the square are: A4, 5 ,B-2, 5 ,C-2, -1 and D4, -1   If a line passes…

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: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), В(-4, -5,…

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Q: Find the equ. nf line through the Pont (-2,3,4) and Parallel to Planes: 2X+3y +42=5 3X + 4Y+52=6…

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Q: Find the value of x that makes the quadrilateral a parallelogram. 2x + 3 x + 7

A: I have given an answer in step 2.

Q: If x, y, and z are lengths of the edges of a rectangular box, the common length of the box's…

A: Length of rectangular box =x Breadth of rectangular box =y Height of rectangular box =z

Q: 2. What are the coordinates of the fourth vertex C so that rectangle ABCD is formed? Bty (-1,6) 81y…

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Q: The midpoint of a segment can be found using the formulas for a directed line segment, x = (X2-X1) +…

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Q: 2. Determine the value of each variable for parallelogram INDY that has diagonals that intersect at…

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Q: Consider a quadrilateral with vertices D(0, 0), J(5, 5), N(8, 4), and G(7, 1). Determine the most…

A: We have to draw the given quadrilateral also find the type.

Q: Determine the value of each variable for parallelogram INDY that has diagonals that intersect at P.…

A: Given Data: The length of IP is: IP=3x The length of DP is: DP=6x-2 The length of NP is: NP=3y The…

Q: Find the shortest distance between the point Q(2, 0, 0) and the line segment joining the points…

A: Formula used: Distance between the point and a line is, D=PQ×uu Where u=P2-P1

Q: Show that the quadrilateral with the given vertices is a parallelogram. E(-5,-2), F(-3, 3), G(3, 5),…

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Q: Use slopes and the distance formula to show that the quadrilateral whose vertices are (0, 0), (1,…

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Q: Find b and c so that y=18x2+bx+c has vertex (9,−6)

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Q: 10. Quadrilateral ABCD with vertices A(-4, -1) B(0, -2), C(-1, -6), and (-6, -3) in the y-axis. A'(…

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Q: The base of a triangle passes through a fixed point (f,g) and its sides are bisected respectively at…

A: y2-8xy-9x2=0 y2-9xy+xy+9y2=0y(y-9x)+x(y-9x)=0(x+y)(y-9x)=0 here we have two lines  L1:…

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…

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: Determine the coordinates for the intersection of the diagonals in RSTU with vertices at…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

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Q: Prove that the quadrilateral with vertices A(0,0), B(4,3), C(7,-1) and D(3,-4) is a square.

A: →In a quadrilateral, if all sides are equal then quadrilateral is a square. →Calculate the length of…

Q: 2- The line perpendicular to the triangular (PQR) and through the point (P) if P(1,-1,2), Q(0,3,1),…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, 2,…

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Q: 2. Show that diagonals of quadrilateral CUTE are congruent for C(5,-1), U(9,-1), T(9,0) and E(5,0).…

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Q: 1. Prove analytically that the lines joining the midpoints of the adjacent sides of the…

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Q: Find a perpendicular line that passes through the given point (6,4); y 3x- 2 %3D O y = 1/3 x-6 O y =…

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Q: In the standard (x, y) coordinate plane, if a square has the vertices (-2,-3), (2,–3), and (2,1),…

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Q: Use the result in Exercise 20 to find the equation of the line that contains (4, 5) and is parallel…

A: We know the important theorem is that the graph of Ax+By=C is parallel to the graph of Ax+By=D.…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), в(-4, 5,…

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Q: Find two values of k such that the points (-3, 4), (0, k), and (k, 10) arecollinear.

A: To Find: Two values of k such that the points -3,4, 0,k and k,10 are collinear. Concept: Slope…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-5, 7,…

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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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Q: A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth…

A: You know that the diagonals of a rectangle bisect each other.