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

Q: What are the vertices of Dos(WXYZ)? SOLUTION 2 4-2 2/ 4 -2

A: The coordinates of the original points are: W=(2,-2)X=(-4,2)Y=(0,4)Z=(4,2)

Q: Find the coordinates of a fourth point so that the four points form the vertices of a rectangle. 64…

A: We have to find the coordinates of the fourth vertex to make it a rectangle.

Q: You were asked to find the perimeter of the triangle whose vertices are the specified points in the…

A: We have to find perimeter of triangle

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: Write the coordinates of the vertices after a reflection over the line y = -5. 104 4 2. -10 -8 -9-…

A: Given query is to find the the cordinatea of vertices after reflection over y= -5.

Q: If a triangle has vertices (-5,-5), (-4,-6), and (-2,-1), how do you reflect this over the y=x axis

A: First of all to find the coordinates of the vertices A(-5,-5),B(-4,-6),C(-2,-1) after reflection…

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: Plot the given points in a coordinate plane.

A: We have to plot the points in the coordinate plane, the points are of the form x1,y1=0,5 ,…

Q: Plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane.

A: To plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane. Given…

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

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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: 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: If A (-2,-1),B(a,0),C(4,6) and D(1,2)are the vertices of a parallelogram, find the values of a and…

A: In parallelogram, opposite sides are parallel to each other.Hence their slopes are always same.

Q: Find the coordinates of the intersection of the diagonals or Parallelogram PRYZ with given vertices.…

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Q: Find the points on the coordinate plane 2,3) and Q(2.-2.-1)

A: Given query is to find point P and Q on coordinate plane.

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: 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: 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: Write the coordinates of the vertices after a reflection over the line y = 1. 104 8. -10 -4 -2 2 4.…

A: The reflection of the given image would be as shown in the below diagram.

Q: Where are the coordinates of the third vertex?

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

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Q: The vertices of a triangle are P(-3, 8), Q(-6, -4), and R(1, 1). What are the vertices of the image…

A: Given, the vertices of a triangle are P(-3, 8), Q(-6, -4), and R(1, 1)

Q: The children's section is rectangular and has three of its corners at (-10, 10), (-10, 4), and (-3,…

A: Children's section corners coordinates are: (-10, 10), (-10, 4), and (-3, 10) To find the 4th…

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

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

Q: Which of the points A(-4,0,–1), B(3,1,–5), and C(2,4, 6) is closest to the yz-plan Which point lies…

A: Given: A(-4,0,-1)  B(3,1,-5)  and C(2,4,6) To find: Which is closet to the yz plane Which is lies on…

Q: The vertices of a quadrilateral are A(-4, -2), B(-2, 1), C(3, 2), and D(1, -1). Is it a…

A: Known fact: The Midpoint of line joining two points is given by m=x1+x22,  y1+y22. Given vertices of…

Q: Find the coordinates of the vertex at y=-3x² + 5x -2?

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Q: 2. Determine whether the three points are vertices of a right triangle. P(-4, 3), Q(2, 5), R(-1, -6)

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Q: Find b so that the points (4,-6), (5,-8), and (b,-2) lie on the line

A: Please find the solution in the attached images :

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: 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: 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: Find b and c so that y 1x? + bx + c has vertex - (– 2, 0). С —

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Q: Square QRST has two vertices at Q(-9, 5) and R(-7, 7). Which could be the coordinate of the vertex…

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Q: a. Show by means of slope that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a…

A: This is a problem related to geometry. For parallelogram opposite sides are parallel to each other.…

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: 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: 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.

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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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.