If (2, 3), (5, - 2), and (7, 2) are three vertices (not necessarily consecutive) of a parallelogram, find the possible locations of the fourth vertex.

Q: Find a point equidistant from the points (3,2) and 5,-1)

A: Let the coordinates of the required point be x and y.

Q: Find the area of triangle with (1,-1,-2), (-2,0,-1) and (0,-2,1) as vertices?

A: Given: The vertices of the triangle are as follows, (1,-1,-2),(-2,0,-1) and (0,-2,1)

Q: vertices (0,0), (0, 4), and (5,0).

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Q: Rectangle MNOP with vertices M(-7,1), N(-4,1), O(-4,-4), and P(-7,-4) in the line y=-x

A: Transform the given rectangle over the line y=-x.

Q: Find the area of the parallelogram whose vertices are listed. (-1,- 3), (3,6), (8, - 7), (12,2) The…

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Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

A: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

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: Find the area of the parallelogram whose vertices are listed. (-1,0), (3,7), (7, –2), (11,5)

A: Consider the vertices of the parallelogram ABCD is A=-1,0,B=3,7,C=7,-2,D=11,5

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: Where are the vertices?

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Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2,2, -3).

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Q: If two consecutive sides of a parallelogram are perpendicular, then the diagonals are ____…

A: Query- If two consecutive sides of a parallelogram are perpendicular, then the diagonals are ____…

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: 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: Let A = (1,2, 3), B (3,7,9), and D = (-2,3,–1). Find coordinates for vertex C of parallelogram ABCD.…

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Q: three vertices of a rectangle are: (-2, -3), (-2, 5), (1, 5), what is the coordinate of the fourth…

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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: Prove that the points represent the vertices of a parallelogram. You may use the method of your…

A: The given points are A-4,7, B3,0, C2,-5 and D-5,2. Note that, the distance between 2 points x1,y1…

Q: Determine if the points X(-6,-4), Y(2,-2) and Z(0,5) form the vertices of a right triangle.

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Q: Find the coordinates the intersection of the diagonals of parallelogram QRST if with vertices Q(-2,…

A: Given points of parallelogram QRSTQ-2,-1 , R-3,6 S1,5 T2,-2

Q: Choose the best selection for the quadrilateral with vertices at the following points. (-6,2),…

A: A(-6,2) B(-3,1) C(-4,-2) D(-7,-1)

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: If three corners of a parallelogram are (1, 1), (4, 2), and (1, 3), what are all three of the…

A: Three corners P{1,1} ,Q{4,2} ,R{1,3} are given so three possible fourth corners are  A{4,4} B{4,0}…

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

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Q: Find the are of the parallelogram with vertices P1, P2,P3,P4. P1=(4,1,1) P2 = (4,4,3) P3 = (2,-3,0)…

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

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Q: Decide whether or not the points are the vertices of a right triangle. (8,-4), (10, 0), (12, -1)

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Q: Find the perimeter of the rectangle whose vertices are the points with coordinates (-1, 5), (3, 5),…

A: We have to find the perimeter of the rectangle whose vertices are the points with coordinates (-1,…

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: Verify that the points (4, 0), (12, 3), (7, 4) and (-1, 1) are vertices of a parallelogram.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: If three vertices of a rectangle are located at (1,4),(1,2),(5,2) what are the coordinates of the…

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Q: determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) lie in the same plane.

A: We will have to check whether the points (1,3,3), (3,-1,5), (5,2,0), (3,3,4) lie on the same plane…

Q: Three vertices of a square are (7, 0), (7, 4), and (9, 2). What are the coordinates of the fourth…

A: In this question we have to find the fourth vertex of the square.

Q: The three vertices of a parallelogram taken in order are (-1, 0).(3, 1) and (2, 2)respectively.Find…

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Q: Determine whether the four points P:(1, 1, 2), P:(4, 0, 3), P:(1, 5, 10), and P.(7, 2, 4) lie in the…

A: 4 points are given and we have to check whether these lie in same plane or not.

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

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

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: What is the area of a square with the vertices (-9,4) (-2,8) (2,1) and (-5,-3).

A: We have to find the area of a square with the vertices -9,4, -2,8, 2,1, and -5,-3.

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: 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: A parallelogram has 2 vertices (1,1) and (0,7) and their diagonals intersect at the point (4,3).…

A: Given:

Q: Find the area of a parallelogram whose vertices are (- 2, – 3, 2), (2, – 4, 2), (2, 2, 0), and (6,…

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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: 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: Three vertices of a rectangle are: (-2, -3), (-2, 5), and (1, 5). What is the coordinate of the…

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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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