In the standard (x, y) coordinate plane, if a square has the vertices (-2,-3), (2,–3), and (2,1), what is the set of coordinates for the final vertex?

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: 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: Find the coordinates of the vertices A, B, and C of the rectangular box shown to the right. (0,0,8)…

A: Given,  A rectangular box with coordinate of two vertices are 4, -7, 0  and  0, 0, 8    We have to…

Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: The given diagram is, Since, ∆ABC is equilateral triangle. AB=BC=AC. ⇒AB2=BC2=AC2 Suppose point A…

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: 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: 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: Find b and c so that y = – 5z² + bz + c has vertex (9, 1). c =

A: The given equation y=-5x2+bx+c has a vertex at (9, 1). The given equation is an equation of a…

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: 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 (-4, 0), (-7, 0), (-4, 3) and: (0, 7).

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Q: . In the standard (x, y) coordinate plane, a line segment with the endpoints (-1, 3) and (4, 3) is…

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Q: Find the equation of the perpendicular bisector of side of the triangle having vertices A…

A: The triangle has vertices A (-1,-3),B(5,-3) and C(5,5) so to find the perpendicular bisectors let D,…

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: Write the equations of the lines that form the four sides of the right trapezoid with vertices at…

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Q: Find the perimeter of the triangle with vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).

A: Given:The vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).The perimeter of the triangle is AB + BC…

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: The coordinates of the vertices of a rectangle WIND are W(-2, 6), I(10, 6), N(10, -3), and D(-2,…

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Q: Determine graphically, the vertices of the triangle formed by the lines y =3,    x = 3y, and x + y =…

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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: ) Find the equation of the plane through the points: (2,4,5), (1,5,7), (–1,6,8).

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Q: The distance from (-3,-4,-7) to the yz-plane is (A) -4 (B) 4 (C) -3 (D) 3 (E) 7

A: The distance(d) between two points (x1,y1,z1) and (x2,y2,z2) in a cartesian coordinate system is…

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: 1. Find the equation of the perpendicular bisector through: (2,-5) and (3,1)

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Q: Write the coordinates of the vertices after a reflection over the line y = 2. 104 6. F E -10 -8 -6…

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Q: . Three vertices of a parallelogram are shown on a coordinate plane below. (-4, –3) 6- 4+ (6, –1) A…

A: in question, three vertex of parallelogram is given we find out 4th vertext . we use the  properties…

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: 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 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: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

Q: If the plane through the points P(1,1, –1), Q(3,0, 2), and R(-2, 1,0), which of the following are…

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

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Q: Plot the points A(5, -2), B(-5, -2), C(5, 2), D(-5, 2), E(3, 0), and F(0, 3) on a coordinate plane.

A: To plot the points A(5,-2), B(-5,-2), C(5,2), D(-5,2), E(3,0), F(0,3)

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: 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: Consider the triangular region in the plane given by the triangle (1, 6), (6, -1), and (1, -4).…

A: See attached file for a step by step explanation.

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: 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: Are the points A(2, – 3), B(5, 1), and C(-4, - 11) collinear?

A: Given:A2,-3 , B5,1 and C-4,-11 collinearAB=AC+BCd=x2-x12 + y2-y12

Q: Plot the given points in a coordinate plane.

A: Point A - (-5, 0) Point B - (2, 0) Point C - (2.6, -1.3) Point D - (-2.5, 3.5)

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.