Which of the following would be the coordinates of the image of C(-7,0) after a rotation by 90 counterciockwise about the origin? (0.-7) (3) (7.0) 2) (0,7) (4) (-14.0)

Q: 4. Trapezoid JKLM with vertices J(2, 1) , K(5, 1), L ^ n * (8, - 4) and M(1,-4);90 ° clockwise…

A:

Q: 60. Show that the distance between two points P1(x1, y1) and P2(x2, y2) is invariant under rotation.…

A: For the points P1 and P2 , the distance between the points is given d(P1,P2)=(x2-x1)2+y2-y12 . For a…

Q: 16. What is the image of (2, -2) rotated 270° counterclockwise about the origin? А (-2, -2) в (-2,…

A: Solution

Q: -1 onto the line through 4 -3 and the origin. Compute the orthogonal projection of The orthogonal…

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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: 4. A carnival ride is drawn on a coordinate plane so that the first car is located at the point (30,…

A: Coordinate point is (30,0) Rotation is 270 degrees.

Q: 10. Find the image for point (0, 7) after a 90° counter-clockwise rotation about the origin. a.…

A: Given, The point: (0, 7)

Q: 5. Which of the following is a parametrization of the line through P(-3, 2, -3) and Q(1, –1, 4) ?

A: Given,         The parametrization of the line passing through P-3,2,-3 and Q1,-1,4.We know that,…

Q: Intuitively, this means that there is no " quaternion representing a rotation.

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Q: Find the image of the point A(-2, 4, 5) under a rotation of 60 degrees In the plane x = 2 about the…

A: We need to find image of given point.

Q: What kind of conic section is given by the quadratic form ? -11x,2 + 84x,x2 + 24x,2 = 156 Transform…

A: Given Quadratic Equation is, -11x12+84x1x2+24x22=156 Matrix Representation form is, A=-11424224 Find…

Q: 2. a) Write a rotation R by an angle (counterclockwise) with the centre at the point (34, 1) in…

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Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

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Q: Consider AXYZ with vertices X(4, 7), Y(8, 5). and Z(6, 3). Follow the steps to the left to find the…

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Q: A 15-degree counterclockwise rotation centered at (2,1) sends (4,6) to another point (x, y). Find x…

A: FORMULA: Suppose,         center = (a,b)                         Point = (x,y)…

Q: 13. Find the image of CD with C(0, 4) and D(3, 4) under a rotation of 90° about the origin.

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Q: Find the coordinates of the reflection without using the coordinate plane. Q(-3,5) over the y-axis.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6). В. (0, -1) A. (0,…

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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: The point (3, 4) is plotted on the coordinate plane below.   What are the coordinates of the…

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Q: (b) (c) Add two more squares Add three more squares Add three more so that the final shape has…

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Q: What must be the equations of the rotation about the point (1, -1) at an angle e=90°? O x' = y , y'…

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Q: The vertices of a figure are J(-4, 4), K(-3, 4), L(-1,1), and M(-4, 1) of the image after a…

A: We will perform the given transformation of vertices as shown below

Q: What are the order of rotational symmetry and the angle of rotation of the 2-D shape?

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Q: 4. 2. 4, CO Find the coordinates of the image of J (8,7) after a reflection over the x-axis. 10 2…

A: To determine the coordinate of a point obtained by the reflection in x-axis then the x-axis works as…

Q: Which shape is an example of rotational symmetry?

A: Rotation symmetry is the property that a shape has exactly same look after some angle of rotation…

Q: If P = (-3,5), find the image of P under the following rotation. 180° counterclockwise about the…

A: It's rotation of point in anticlockwise direction about origin. So I'm providing hand written…

Q: 3. When origin is shifted to (3,4) by translation of axes, find the transformed equation of 2x² +…

A: We have to solve given problems:

Q: If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates…

A: On solving this we will get:-

Q: If P = (2,-1), find the image of P under the following rotation. 270° counterclockwise about the…

A: We have to find the point

Q: Consider AB in the coordinate plane below. 10 4. 2. A -10-9 -8-7 l0 1 -1 -5-4-3 -2-1 2. 4. 10 -2 -3…

A: Given: AB¯

Q: What is the image equation of y=3x-1 under the reflection in the line X+у-0? O x+ 3y - 1 = 0 Ох-Зу +…

A: NOTE: Refresh your page if you can't see any equations. . the reference line is  or we can write

Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

A:

Q: What is the image of the point (4, 0) after a rotation of 90 counterclockwise about the origin

A: Under rotation 90° counter clockwise about the origina point (x,y)→(-y,x)Hence (4,0)→(0,4)

Q: find the rotation equation that would eliminate the xy-term 32x2 - 48xy + 18y2 - 15x - 20y = 0

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Q: Region A is formed by bounding the lines y= T, y = 6, and the y-axis. Determine which pair %3D of…

A: Region A is formed by bounding the lines y=x, y=6 and y-axis. We have to determine which pair of…

Q: find the pole and resuidue of 3z + 1 (z + 1)(2z – 1)

A: Poles and residue of the given function are given below ;

Q: 5. Which of the Two-Reflection Theorems for Rotations and Translations could apply when the…

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Q: Find the image of the line y = 5x + 7 under collineation a if a((x, y)) = (2у — х, х — 2)

A: Given that: Line is: y=5x+7and collineation is: (x, y)=(2y-x, x-2)

Q: coordinates of A(-11.5, 9), B(14, 8), and C(6, -7). What are the coordinates of its image after a…

A: Given data:     The first point is: A=(x1,y1)=(-11.5,9). The second point is: B=(x2,y2)=(14,8). The…

Q: Find the centroid of the triangle if the vertices are  (0,0) , (4,0) and (0,6)

A: Given points are         0,0,4,0,&0,6      And centriod G ?      centriod G= x1+x2+x33…

Q: Find // (4x + 5y)dA where R is the R parallelogram with vertices (0,0), (-3,1), (2,4), and (-1,5).…

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Q: 3. Find the parametric equation of the line passing through the point (-1,0, 3) and in the direction…

A: Equation of the line passing through the point (-1,0,3) in the direction N(7,0,-2) is   ( x+1)/ 7 =…

Q: 19) Parallelogram ABCD has its center at M(3, 4.5). What transformations

A: The transformation which carries ABCD onto itself is

Q: What will be the new coordinates of point M (-5, -7) after a rotation of 270° counterclockwise about…

A: To fins the new coordinate of point M (-5,-7) after a rotation of 270° anticlockwise about the…

Q: 5. Find the transformation that rotates the plane by 60° anticlockwise about the point (-1,2). Also,…

A: We will solve this problem in the following steps.

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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Q: Which of the following point is the projection of the point (0, 4, 2) on the yz-plane?

A: In this question we have to find the projection of the point on the yz-plane.

Q: Find the centroid of the triangle whose vertices are  O(0,0) , A(4,0) and B(0,6)

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Q: Q4: For Figure2, explain the difference in the output if you use rotation about the origin or…

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