Given the quad. DEFG with vertices D(-4, 1), £(2, 3), F(4, 9), and G(-2, 7). a. Use the distance formula to show that DEFG is a rhombus. b. Use slopes to verify that the diagonals are perpendicular.

Q: Given the vertices A(-5,-4,8), B(2,3,1), C (4,1, –2), D(6,3,7). of the pyramid. Find the length of…

A: we have been given the vertices A(-5,-4,8), B(2,3,1), C(4,1,-2) and D(6,3,7) of the pyramid. we have…

Q: ASTU has vertices S(-6-3). T(5.4), and U(7.-4). Write the equation of the perpendicular bisector of…

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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: D (2, 2), E (4, 5), F (10, 6), and G (8, 3)

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Q: Three vertices of parallelogram ABCD are A(-5;0), B(0;1) and D(-1;3). Evaluate the length of…

A: Given 3 vertices of the parallelogram are  A-5,0 ; B0,1 and D-1,3  Let the fourth vertex be Cx,y…

Q: Find the perimeter of the polygon with the vertices Q(−3, 2), R(1, 2),  S(1,−2),Q(−3, 2), R(1, 2),…

A: Perimeter of polygon = Sum of length of all sidesLet A(x1, y1) and B(x2, y2) . Then,   Length of…

Q: e value of x.*

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Q: Trinity was given the points S(-9, 14), T(1, 10), U(-3,0), V(-13,4). She determined that the sides…

A: Quadrilateral

Q: IfA(-2, – 1),B(a,0),C(4,6) and D(1,2) are the vertices of a parallelogram .ind the values of a and b

A: Given three vertices of a parallelogram are A(-2,-1), B (a,0), C (4,b) and D(1,2). In a…

Q: A rectangle has two vertices on the x-axis, two vertices on the y-axis, and one vertex at the point…

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Q: The vertices of parallelogram ABCD are A (2, 0), B(0, -3), C (3, -3), and D (5, 0). If ABCD is…

A: For taking reflection over x-axis take mirror image about x-axis

Q: 4. The points P(2,0, 1) and Q(4,2,5) are in R. (a) Find the midpoint between these two points, and…

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Q: 12. Use one of the properties of paralelograms to prove ABCD is a parallelogram. A(0, 01 6-4 -2 -2…

A: In parallelogram ,opposite sides are congruent.

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: 6. The three points A(-2, 1,-1), B(1, 1, 3), and C(-5, 4, 0) are vertices of the parallelogram ABCD.…

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Q: Use the following points: P(7,-5,5) Q(-5,10,10), R(-8,8,4), S(-20,23,1) A: Find the area of the…

A: Given points are: P(7,-5,5),Q(-5,10,10), R(-8,8,4), S(-20,23,1)

Q: The point (4,3) is. the point of the intersection of the diagonals of parallelogram and two of whose…

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Q: 1A. A pentagon, ABCDE, represents a plot of land and has the following vertices: 4(-1,0), B (3, 1).…

A: The equation of the x axis is y=0. If If the point: x, y is reflected about the line: y=0, then the…

Q: . Prove that the figure with the coordinates given is a parallelogram. (Use diagonals bisect each…

A: Note : A & C are diagonally opposite points  And, B & D are diagonally opposite points.

Q: 7. Prove the quadrilateral ABC D shown in the graph is a PARALLELOGRAM using the coordinates of its…

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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: 4. M(0, 8), N (–1, 2), O (5, 6), and P (6, 12)

A: Slope of a function determines whether the function is increasing or decreasing. When the slope is…