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Chapter 14: Q12. (page 579)

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

Rj:linek→?¯

Short Answer

Expert verified

Image of line k in the line j will be,Rj:line(k)→k.

Step by step solution

01

Step 1. Given Information.

kand jare two line

02

Step 2. Explanation.

As the line kand j are perpendicular.

According to theorem 14-2 “A reflection in a line is isometry”, here k is isometric to itself with respect to j.

03

Step 3. Conclusion.

Hence, the image of line k in the line j will be k itself.

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Most popular questions from this chapter

Does the polar map preserve or distort distance?

The sketch illustrates a reflection in plane X. Write a definition of this reflection similar to the definition of a reflection in line m on page 577.

Repeat Exercise 26 but roll the ball off two walls.

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 D.

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.
See all solutions

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