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

Q: Find the area of the parallelogram whose vertices are (2,5), (7,6), (10, 10), and (5,9).

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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: 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: Show the vertices of the square. Given: A(2,4), B(2,-1), C(7,-1), D(7,4)

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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: Determine if the points X(26, 24), Y(2, 22), and Z(0, 5) form the vertices of a right triangle.

A: Given points are X26,24, Y2,22 and Z0,5. To determine whether points form the vertices of a right…

Q: Where are the vertices?

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Q: Show that the points A(3,-2,4)B(1,1,1,) and C(-1,4,-2) are collinear

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Q: do the points (-1,1) , (-3,5), and (0,8) form a tight triangle ?

A: We can check if the triangle formed by A, B, C is right triangle by two methods: 1) By checking if…

Q: 12. Show that A(-3, 1), B(1, 2), C(0, -1) and D(-4, -2) are the vertices of a parallelogram

A: Here,AB=1+32+2-12=17BC=0-12+-1-22=10

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

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Q: Locate the image of QUAD with vertices Q (-6,-5) U (-3,4) A (2, 3) D (3, -7) QHor the

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Q: The vertices of a square are located at (-4, 0), (-7, 0), (-4, 3) and: (0, 7).

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Q: Write the coordinates of the vertices after a reflection over the line x = -1. 104 4 -10 -81 -6 -4…

A: Here the figure is reflecting across x=—1, so y coordinates of every point will remains same only x…

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: Show that the points (3,4), (-3,7), (-6,1) and (0,-2) for the vertices of a square

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Q: The vertices of a rectangular park are located at (-7, 6), (5, 6), (5, -2), and (-7, -2) on a…

A: By plotting the given points on the graph and marking the possible diagnol as red in color…

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: Show that the points (−1, 0), (3, 0), (1, 2), and (1, −2) are vertices of a square.

A: Let us consider A(-1,0) , B(3,0), C(1,2) and D(1,-2) To verify ABCD as a square We need to verify if…

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: Determine whether these four vertices for a parallelogram: A(0, - 6) , B(1, 6) , C(4, 0) , D / (3,…

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Q: Find the areas of the parallelograms whose vertices are A(1, 0), B(0, 1), C(-1, 0), D(0,-1)

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Q: plot the given pair on a cartesian plane {(1,1),(2,4),(3,7),(4,10),(5,13)}

A: The given pair of points are  A(1,1), B(2,4), C(3,7), D(4,10), E(5,13)

Q: Find the areas of the parallelograms whose vertices are given A(0, 0), B(7, 3), C(9, 8), D(2, 5)

A: Given vertices of parallelogram: A(0, 0), B(7, 3), C(9, 8), D(2, 5) Now, Vector AB is…

Q: 2. Triangle VWX with vertices -1, 0), W6, 8), and X(4,-3): (x, y) (x-1, y-5)

A: Given coordinates V(-1,0)W(6,8)X(4,-3)Given transformation :(x,y)→(x-1,y-5)

Q: Write the coordinates of the vertices after a reflection over the y-axis. 104 8. 9. 4. 21 -10 -8 F 4…

A: We know that The reflection of point (x, y) across the y-axis is (-x, y).

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

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Q: Write the coordinates of the vertices after a reflection over the line x = 3. 10 8 6. 2. -10 -8 -4…

A: Given query is to find the coordinates of the vertices after reflection over x = 3.

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: Find b and c so that y=−15x∧2+bx+cy=-15x2+bx+c has vertex (9,−3)(9,-3).

A: As we know that the vertex of a vertical parabola y=ax2+bx+c is given by -b2a, 4ac-b24a

Q: If (2, 3), (5, - 2), and (7, 2) are three vertices (not necessarily consecutive) of a parallelogram,…

A: Given : The three vertices of a parallelogram are : A=2, 3B=5, -2C=7, 2 We have to find the possible…

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

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Q: The vertices of a square are located at (1,7), (5,3) (1,-1) and (-3,3). What is the approximate…

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Q: Find the area of the parallelogram whose vertices are: A(0,0,0) B(5,2,6) C(9,-1,6) D(4,-3,0)

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Q: Find the point of intersection of the diagonals of the rhombus with vertices (-1, 2), (3, 4), (5,…

A: We know that diagonals of rhombus are perpendicular bisector of each other. Therefore Midpoint of…

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: Determine whether (-7,4), (6, -2), (0, -15) are the vertices of a right triangle.

A: The vertices of the triangle are  A-7,4 B6,-2 and  C0,-15 To evaluate : Whether the vertices are of…

Q: Write the coordinates of the vertices after a reflection over the line y = -x. 104 8- 4 2 10 -8 9-…

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Q: A square has an area of 36 and one side that lies along the line y = 3. What could be the location…

A: To find the possible co-ordinates of square.

Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1) and M(-1, 2) is a square. 10 4…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: What is the perimeter of a square with the vertices (1,7) (5,3) (1,-1) (-3,3)

A: We have given the vertices of a square. We have to find the perimeter of the given square.

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: Verify that the points (-3, 1), (5, 7), and (8, 3) are vertices of a right triangle.

A: Two lines with slopes m1,m2 are perpendicular if m1m2=-1. For a right triangle, two sides are…

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

A: To graph the square with given points A,B,C,D.

Q: Determine the ordinate of the third vertex (2,y) of a triangle with an area of 27 and two other…

A: Area of the triangle is 27 and the vertices are -4, 6,  2, -6  &  2, y.

Q: Find the area of a rectangular garden with vertices at A(3,4), B(3,-2) C(8,4) and D(8,-2).

A: Given:  Vertices of rectangular garden:    A(3,4), B(3,-2) C(8,4) and D(8,-2)

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: Show that the points A(-2,9), B(4,6), C(1,0), and D(-5,3) are vertices of a square

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