Triangle ABC with vertices A(-10, -1), B(-4, 0), and C(-9, -6); 180° about K(-5, 2) KA(-5,-3) -> (5,3) KB (1,-2) ->(-1,2) KC (-4,-8) ->( 4,8) A'_0, 5 ) B'_ 6 , 4 ) C (-I , 10 )

Q: A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on this…

A: We answer only one question at a time , so we will answer the first question since the exact one…

Q: Show that the points form the vertices of the indicated polygon. Right triangle:    (4, -2), (8,…

A: Distance between two points: The distance between the two points (x1, y1) and (x2, y2) is given by,…

Q: Rectangle WXYZ with vertices H(- 3, - 4), X(0, - 5); Y(- 2, - 11) and Z(-5,-10);1; 180 degrees…

A: To find the rotation by 180° about a point other than the origin, use the following steps. Subtract…

Q: What are the coordinates of latera recta of 9x2 – 4y² – 36x – 8y- 4 = 0? | (2-V15,-플), (2-V13,글),(2…

A: Given

Q: As part of video game, the point (2,3) is rotated counterclockwise about the origin through an angle…

A: Given as part of video game (2,3)  is rotated counterclockwise about origin through an angle of 40…

Q: Points A, B, and C are collinear and AB:AC = Point A is located at (-3, 6), point B is located at…

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Q: 9 What is the distance between points (-10, 6) and (-2, 2) on a coordinate plane?

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Q: 4. Point P is located at (4, 8) on a coordinate plane. Point P will be reflected over the x-axis.…

A: Solution:- point p is located at (4,8) on the coordinate plane. which is reflected over the x- axis.…

Q: two vertices of the a  triangle ABC are (6,-2) and B(4,3) If the co-ordinates of its centroid be…

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Q: Find the area of the hyperbolic (geodesic) triangle with vertices (3,0), (4,0) and (5,0).

A: Let P(3,0), Q(4,0) and R(5,0) be three vertices.  It is known that the equation of hyperbolic line…

Q: Find an equation of the plane that passes through the points (2, 4, 1), (2,2, –4), and (-–3,5, 3).…

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Q: As part of video game, the point (2,6) is rotated counterclockwise about the origin through an angle…

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Q: A square is rotated about its center. Select all of the angles of rotation that will map the square…

A: A square has four equal sides and its adjacent sides are perpendicular to each other. That is, pairs…

Q: A triangle in the coordinate plane has vertices of (2,6), (-4, -4), and (0,-6). When the triangle is…

A: Given  A triangle in the coordinate plane has vertices of (2,6), (-4, -4), and (0,-6).

Q: Verify the points (1,5) ,(2,3) and (-2,-1) are collinear or not

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Q: are the new coordinates of A(-5,4) B(-1,3) and C(-4,1) when rotated 75 degrees counterclockwis

A: To find the new coordinates of A(-5,4), B(-1,3) and C(-4,1) when rotated 75° counter clockwise.

Q: What is the 180 degree counter clock wise rule which transformed the pre-image ordered pairs (3,6)…

A: We see that 3 has been transformed to -3 and 6 to -6. Hence

Q: 13. If AXYZ is rotated 180° clockwise about the point (2, -3), what is the coordinate of X? 4y Rule:…

A: Given:  Triangle XYZ is rotated 180 degree abot (2,-3). First change origin to O'(2,-3). Then change…

Q: 11. If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point. O a)…

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Q: What are the new coordinates of point M (-8, 3) after a rotation 180° counterclockwise? • (8, -3) •…

A: We find new point after 180 degree rotation counterclockwise.

Q: 3. Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of…

A: Initially the point is (-3,5)

Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Given a cube is located such that its bottom four corners have the coordinates (-4,-5,-1),…

Q: As part of video game, the point (1,6) is rotated counterclockwise about the origin through an angle…

A: If a point (x,y) and angle is given and we have to find the new coordinates (X,Y)  after rotating it…

Q: 6. The segment XY with endpoints X(4, 3) and Y(1, -3) is rotated 90° about the origin. What is the…

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Q: Point A is at (3, 5) and was reflected so that its image is at (-3, 5). Which axis was it reflected…

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Q: What are the projections of the point (−2, 3, 4) on the xy-, xz-, and yz-planes? Draw a picture and…

A: Given, the point (-2, 3, 4), we have to find the projections of this point on the xy-, yz-, and…

Q: The point (5,4,7) is the midpoint between the points (10,8,1) and (x,y,2). Find (x,y,2).

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Q: A rectangle has vertices (6, 4), (2, 4), (6, –2), and (2, –2). What are the coordinates of the…

A: Note: Dilation with Center at Origin, (0,0): DO, k(x, y)=(kx, ky), O=center of dilation at (0, 0);…

Q: 6. Center at (2,-3), one corner of auxiliary rectangle at (-1,-5), conjugate axis is horizontal

A: Given: Center: (2, -3) One corner of auxiliary rectangle at (-1, -5), conjugate axis is horizontal.…

Q: How do I verify that these points for a right triangle (4,0),(2,1),(-1,-5)

A: Given a triangle with points  A=(4,0) , B=(2,1) and C=(-1,-5)

Q: Find the distance between two points (1, 2) and (3, −1).

A: We want to find the distance between the given two points. We use formula for finding the distance…

Q: What are the new coordinates of the point (6, 15) under the dilation (x,y) → (3-3)?

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Q: A line, passing through point (6, 3, 2) and is perpendicular to the xy-plane. Find a point on this…

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Q: 3. If point (-3, 5) is rotated counterclockwise 180 about the origin, its image will be point 1) (5,…

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Q: What is the distance between points (-10, 6) and (-2, 2) on a coordinate plane?

A: Given problem is:

Q: . Find an equation of a plane passing through the point (3, 4. 0) and containing the line of…

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Q: 16. If the point (3, 7) is rotated counterclockwise by 45°, what point is obtained? What point is…

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Q: Point M(-6,8) is rotated 90 degrees counterclockwise about the origin. What is the coordinate of M'?

A: In case of a counter-clockwise rotation about 90°, a point (x,y) is mapped to (-y, x).

Q: Graph triangle LMN with L(2, 7), M(8, 8), N(2, 1), and its image after Ry-axis ° T(-4,-5).

A: Given  L(2,7)M(8,8)N(2,1) Translation Ry axis∘T(-4,-5)   for rotation around y axis (x,y)→(-y,x)

Q: Calculate the distance between the points H=(-2, -3) and N=(-8, 2) in the coordinate plane. Give an…

A: We know that the distance between the points x1, y1 and x2, y2 is given by x2-x12 + y2-y12

Q: Quadrilateral QUAD with vertices Q(-4, 2), U(-2, 1), A(0, -2), and D(-5, -4); 90° counterclockwise…

A: Here we draw the quadrilateral QUAD and after after rotation Q'U'A'D'.

Q: The point (5,4,7) is the midpoint between the points (10,8,1) and (x,y,z).  Find (x,y,z)

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Q: What is the 90 degree clock wise rule which transformed the pre-image ordered pairs (5,-8) to it's…

A: Given data: The points is (5,-8) The coordinates of the image are (-8,-5) Consider the point M(h,k)…

Q: Point C is located at (1, –2) on the coordinate plane. Point C is reflected over the y-axis to…

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Q: Find the image of the point (3,6) under a dilatation with center at point (-3,6) and a scale factor…

A: P '=C+d( P- C)  Here C is centre of dilation, P is initial point, d is scalar factor.

Q: Find the distance between the points (4,-1) and (-1,5) Distance %3D

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Q: 5, what is the speed of the plane?

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Q: Is the point (-3, -4, 2) visible from the point (6, 7,0) if there is an opaque ball of radius 1…

A: Find the value of x, y and z. The value for the variables are  computed by using the midpoint…

Q: A regular hexagon has a center located at (5,7) and one vertex located at (10,19). What is the…

A: Given: Coordinate of the center is, h,k=5,7. Coordinate of vertex is, x1,y1=10,19. Coordinated…

Q: Three runners start at the same location and, at the same time, start running in different…

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