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Chapter 14: Q10. (page 579)

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

Rj:ST鈫�鈫�?炉

Short Answer

Expert verified

Reflection of ST炉 in the line jis,Rj:ST炉鈫�WX炉

Step by step solution

01

Step 1. Given Information.

W and X are obtained by reflection in line j.

02

Step 2. Explanation.

The reflection of S in line j is W and reflection of T in line j is X. Now using Theorem 14-2 which states that A reflection in a line is isometry.

Therefore, we will get a similar but inverted image.

03

Step 3. Conclusion.

Hence, the reflection of ST炉 in line j is WX炉.

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Most popular questions from this chapter

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

Rk:鈭�STU鈫�?炉

A ball rolls at a 45掳 angle away from one side of the billiard table that has a coordinate grid on it. If the ball starts at the point 0,1 it will eventually return to its starting point. Would this happen if the ball started from other points on the y-axis between 0,0 and 0,4?

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

Rk:BC鈫�鈫�?炉

Explain in your own words the meaning of each phrase.

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  3. Orientation is not invariant under a reflection.

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