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Chapter 14: Q6. (page 579)

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

Rk:T→?¯

Short Answer

Expert verified

Rk:T→T

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 T is on the line k.

03

Step 3. Conclusion.

Therefore,T is reflection in line k to itself that means Rk:T→T.

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Most popular questions from this chapter

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

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

ABCDis a trapezoid. Describe a way of mapping each point of DC¯ to a point of AB¯ so that the mapping is one-to-one. Is your mapping an isometry?

A person with eyes at A, 150 cm above the floor, faces a mirror 1 m away. The mirror extends 30 cm above eye level. How high can the person see on a wall 2 m behind point A?
  1. Plot the points A6,1,B3,4, and C1,-3 and their images A',B', and C' under the transformation R:x,y→-x,y.
  2. Prove that R is an isometry. (Hint: Let Px1,y1 and Qx2,y2 be any two points. Find P' and Q', and use the distance formula to show that PQ=P'Q'.)
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