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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?¯=XY→

Short Answer

Expert verified

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

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¯ is isometric to TU¯ with respect to the line j.

03

Step 3. Conclusion.

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

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Most popular questions from this chapter

For each transformation given:

  1. Plot the three points A0,4, B4,6, and C2,0, and their images A', B', and C' under the transformation.
  2. State whether the transformation appears to be an isometry.
  3. Find the pre image of 12,6.

S:x,y→2x+4,2y-2

For each transformation given:

  1. Plot the three points A0,4, B4,6, and C2,0, and their images A', B', and C' under the transformation.
  2. State whether the transformation appears to be an isometry.
  3. Find the pre image of 12,6.

G:x,y→-12x,-12y

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

Case 4.

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

Rk:BC→→?¯

Sketch each figure on the chalkboard. With a different color, sketch its image, using the dashed line as the line of reflection.
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