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Chapter 14: Q7. (page 579)

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

Short Answer

Expert verified

CB is Reflection of BC in the line k,

Step by step solution

01

Step 1. Given Information.

C is the reflection of B and the given diagram is,

02

Step 2. Explanation.

As C is a reflection of B then B is the reflection Of C.

Now, Using Theorem 14.2 which states that A reflection in a line is isometry.

03

Step 3. Conclusion.

Hence, a similar figure is obtained. Now drawing it we have

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Most popular questions from this chapter

Fold a piece of paper. Cut a design connecting the top and bottom point of the fold, as shown. Unfold the shape. Consider a mapping M of the points in the gray region to the corresponding points in the red region.

  1. Does M appear to be an isometry?
  2. If a point P is on line k, what is the image of P?
  3. If a point Q is not on line k, and MQ=Q', what is the relationship between the line k and QQ'鈫�?

Copy each figure on graph paper. Then draw the image by reflection in line k.

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

Rk Stands for ?炉.

Mapping M maps points A and B to the same image point. Explain why the mapping M does not preserve distance.

Repeat Exercise 26 but roll the ball off two walls.
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