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

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

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Q: Find the coordinates of the circumcenter of APQR with vertices P(-2,5) , Q(4,1), and R(-2, - 3).

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Q: Determine whether the points are collinear. (Three points are collinear if they lie on the same…

A: Given, the three points (-2, 1), (-1, 0) and (2, -2). We have to determine that whether these three…

Q: find the area of the parallelogram whose vertices are listed. (0,0), (-2, 4), (4, -5), (2, -1)

A: Consider the provided question, Let the vertices of the parallelogram are A, B, C and D.

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: Determine whether the points are collinear.(−1, −3), (−4, 7), (2, −13)

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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: Find the area of the parallelogram with vertices (1, 0, 2), (2, 1, 2), (1, 3, 5), and (2, 4, 5).

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Q: Find the area of the parallelogram with vertices (1, 1, 1), (–6, 4, 1), (5, 3, 4), and (–2, 6, 4).

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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: Calculate the area of the parallelogram with the given vertices: (-1,-2), (2,7), (7,2), (10,11).

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Q: Use slopes to show that the quadrilateral whose vertices are (1, - 1), (4, 1),   (2, 2), and (5, 4)…

A: Formula used: The slope of a line passing through the points x1,y1,x2,y2 is given by  m=y2-y1x2-x1.

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: Find the area of parallelogram whose vertices are listed. (0,0), (5,2), (6,4), (11,6).

A: area of parallelogram = 2*area of triangle area of triangle = (1/2)[ 5 2 1]…

Q: find the area of the parallelogram whose vertices are listed. (0, -2), (5, -2), (-3, 1), (2, 1)

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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: Determine whether the three points are collinear. 5) (-2,6), (6, 4), (-10, 8)

A: As per our norms we have to write one question at a time kindly repost remaining questions

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: Suppose that ABCD is a parallelogram, and В 3 (-3,b), А — (-4,4), C = (1,2), D = (a, 1) %3D What are…

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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: 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: Find the area of the parallelogram formed by the points (-1, 2, 3), (10, 10, 0), (4, 5, 2), (5, 7,…

A: We have to find the area of the parallelogram formed by the points (-1, 2, 3), (10, 10, 0), (4, 5,…

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: The vertices of the triangle are (-9,-5), (-6,1), (5,8)

Q: Explain how you would determine whether three planes intersect in a line.

A: Let's assume the equations of three planes 1. a1x+b1y+c1z+d1=0 2. a2x+b2y+c2z+d2=0 and 3.…

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

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Q: Find the peremiter of the trapezoid with these vertices (-2,-2),(-5,-2),(6,-5),(-5,-5)

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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: graph is planar,

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Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

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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: how to find the length of the diagonal of the box determined by the vertices?

A: We need to find the length of the diagonal of the box determined by the vertices.

Q: Find the area of the parallelogram with vertices A(-4, 1), B(-2, 4), C(2, 2), and D(0, -1).

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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: A parallelogram with perpendicular diagonals is a_____?

A: we have to fill in the blanks: A parallelogram with perpendicular diagonals is a_____?

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 points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…

Q: Construct three parallel lines so that the middle line is not equidistant fromthe other two. Then…

A: Let the three parallel lines be l, m, n and the equilateral triangle be ABC.

Q: Graph the image of parallelogram STUV after a reflection across the line y = x. 10 8 21 -10 -8 -1 -4…

A: Graph of the parallelogram is given, it is reflect about the line y=x

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: 6 3 2x + y – 5z =0 and -4|+t| -2 || నా

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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: Determine whether the points are collinear.(−2, 5), (0, −1), (3, −9)

A: We have to determine the given points are collinear or not: -2,5, 0,-1, 3,-9 We know that three…

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 parallelogram whose vertices are (- 2, – 3, 2), (2, – 4, 2), (2, 2, 0), and (6,…

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Q: how do i prove that the diagonals of a parallelogram bisect each other ? Then have to name…

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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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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.