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Chapter 14: Q11. (page 579)

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

Rj?炉=XY鈫�

Short Answer

Expert verified

Reflection of line TU炉in the line j is, Rj(TU炉)=XY炉

Step by step solution

01

Step 1. Given Information.

X and Y are obtained by the reflection in the line j

02

Step 2. Explanation.

Here X is the reflection of T and Y is the reflection of U. As a reflection in a line is isometry and in this case XY炉 is isometric to TU炉 with respect to the line j.

03

Step 3. Conclusion.

Hence, XY炉is reflection TU炉in the linej.

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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.

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

In each exercise Rk:A鈫�A'. Find an equation of line k.

A piece of paper is wrapped around a globe of the Earth to form a cylinder as shown. O is the center of the Earth and a point P of the globe is projected along OP鈫�to a point P'of the cylinder.

Describe the image of the globe鈥檚 equator.
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