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Chapter 14: Q15. (page 580)

Draw a triangle and a line m such that Rm maps the triangle to itself. What kind of triangle did you use?

Short Answer

Expert verified

An equilateral triangle with any of its median as line of reflection.

Step by step solution

01

Step 1. Given Information.

After reflection the image is same as previous.

02

Step 2. Explanation.

In an equilateral triangle all the angles are same.

So, when a median drawn, all the corresponding angle are equal.

As median divides the side in two equal parts the corresponding sides are also equal.

03

Step 3. Conclusion.

Hence, an equilateral triangle with any of its median as line of reflection.

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Most popular questions from this chapter

  1. If mapping M:x,y鈫�2x,2y, find the images of P and Q in the diagram.
  2. Is M a transformation?
  3. Does M appear to be an isometry?
  4. Decide whether M maps the midpoint of PQ炉 to the midpoint of P'Q'炉.

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

Case 4.

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

Case 2.

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

Rk:BC鈫�鈫�?炉

If you can see the eyes of someone when you look into the mirror, can the other person see your eyes in that same mirror?
See all solutions

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