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Chapter 14: Q8. (page 579)

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

Short Answer

Expert verified

The reflection of 鈭�STU is,

RK:鈭�STU鈫�鈭�UTS

Step by step solution

01

Step 1. Given Information.

U is reflection of S in the line k.

02

Step 2. Explanation.

U is the reflection of S in the line k and T is on the line k. Here, ST炉 is the image of UT炉 and vice versa. Hence, image of 鈭�STU will be 鈭�UTS.

03

Step 3. Conclusion.

Hence, the reflection of 鈭�STU in the line k will be 鈭�UTS.

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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.

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�?

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

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.

D:x,y鈫�3x,3y

When the word HIDE is reflected in a horizontal line, the image is still HIDE. Can you think of the other words that are unchanged when reflected in a horizontal line?
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