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Chapter 14: Q14. (page 579)

Points A-D are reflected in the x-axis. Points E-H are reflected in the y-axis. State the coordinates of the images.

Short Answer

Expert verified

Ry:E(0,5)→(0,5)Ry:F(6,3)→(−6,3)Ry:G(−3,1)→(3,1)Ry:H(x,y)→(−x,y)

Step by step solution

01

Step 1. Given Information.

The coordinate of points are E(0,5), F(6,3), G(-3,1) and H(x,y)

02

Step 2. Explanation.

When a point is reflected in the y-axis its y-coordinateremains same but its

x-coordinatesign change to its negative.

Therefore,

The image of E(0,5)is (0,5).

The image of F(6,3)is (-6,3).

The image of G(-3,1)is (3,1).

The image of H(x,y)is (-x,y).

03

Step 3. Conclusion.

Hence, the coordinates of the image are,

Ry:E(0,5)→(0,5)Ry:F(6,3)→(−6,3)Ry:G(−3,1)→(3,1)Ry:H(x,y)→(−x,y)

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Most popular questions from this chapter

For each transformation given:

  1. Plot the three points A0,4, B4,6, and C2,0, and their images A', B', and C' under the transformation.
  2. State whether the transformation appears to be an isometry.
  3. Find the pre image of 12,6.

G:x,y→-12x,-12y
  1. Plot the three points A0,4, B4,6 and C2,0,and their images A', B', and C' under the transformation T:x,y→x+4,y-2.
  2. State whether the transformation appears to be an isometry.
  3. Find the pre image of 12,6.

A piece of paper is wrapped around a globe of the Earth to form a cylinder as shown. O is the center of the Earth and a point P of the globe is projected along OP→to a point P'of the cylinder.

Describe the image of the globe’s equator.

Complete the following. Assume points D, C, U, W, X, and Y are obtained by reflection in link k or j.

Rk:AB→→?¯

Sketch each figure on the chalkboard. With a different color, sketch its image, using the dashed line as the line of reflection.
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