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Chapter 14: Q4. (page 579)

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

Rk:AB鈫�鈫�?炉

Short Answer

Expert verified

Rk:AB炉鈫�DC炉

Step by step solution

01

Step 1. Given Information.

The given statement is that D, C, U, W, X, and Y are obtained by reflection in line k or j.

02

Step 2. Explanation.

Since in the figure it is clear that neither AB炉nor DC炉is on the line k and the line k is perpendicular bisector of the line joining the corner of AB炉and DC炉that is BC.

03

Step 3. Conclusion.

Therefore, AB炉is reflected in line k to DC炉.

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Most popular questions from this chapter

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?

Draw a pentagon and a line n such that Rn maps the pentagon to itself.

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.

M:x,y鈫�12-x,y

Consider the mapping S:x,y鈫�x,0.

  1. Plot the points P4,5,Q-3,2, and R-3,-1 and their images.
  2. Does S appear to be an isometry? Explain.
  3. Is S a transformation? Explain.

Write the coordinates of the image of each point by reflection in,

  1. The x-axis
  2. The y-axis
  3. The line y=x (Hint: Refer to the Example on page 578)

Point O.
See all solutions

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