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Chapter 14: Q9. (page 579)

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

RjS=?¯

Short Answer

Expert verified

Reflection of S in the line J, Rj(S)=W

Step by step solution

01

Step 1. Given Information.

W is obtained by the reflection in the line j.

02

Step 2. Explanation.

As given above W is obtained by the reflection in the line j,

So S is isometric to W in the line J.

03

Step 3. Conclusion.

Hence, the reflection of S in the line j must be W.

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Most popular questions from this chapter

Consider the mapping S:x,y→x,0.

  1. Plot the points P4,5,Q-3,2, and R-3,-1 and their images.
  2. Does S appear to be an isometry? Explain.
  3. Is S a transformation? Explain.

Repeat Exercise 39 letting j be the horizontal line with equation y=6.

A person with eyes at A, 150 cm above the floor, faces a mirror 1 m away. The mirror extends 30 cm above eye level. How high can the person see on a wall 2 m behind point A?

In Exercise 18-20, refer to the diagrams om page 578. Given the reflection Rm:PQ→→P'Q'→, write the key steps of a proof that PQ=P'Q' for each case.

Case 4.

Write the coordinates of the image of each point by reflection in,

  1. The x-axis
  2. The y-axis
  3. The line y=x (Hint: Refer to the Example on page 578)

Point A.
See all solutions

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