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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

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 A.

Use the transformation T:x,y鈫�x+1,y+2 in this exercise.

  1. Plot the following points and their images on the chalkboard: A0,0, B3,4, C5,1, and D-1,-3.
  2. Find AB, A'B', CD, and, C'D'.
  3. Does this transformation appear to be an isometry?
  4. What is the pre image of 0,0? of 4,5?

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?

When the word MOM is reflected in a vertical line, the image is still MOM. Can you think of the other words that are unchanged when reflected in a vertical line?
See all solutions

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