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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鈫�?炉

Short Answer

Expert verified

Image of line k in the line j will be,Rj:line(k)鈫�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 鈥淎 reflection in a line is isometry鈥�, 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

  1. If gx=2x-1, find g8 and g-8.
  2. Find the image of 5.
  3. Find the pre image of 7.

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

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

Case 2.

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.

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

Case 4.
See all solutions

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