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Chapter 14: Q7. (page 580)

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.

Short Answer

Expert verified
  1. Image of A in the x-axisis (2,-4), Rx-axis:A=(2,4)鈫�(2,-4)
  2. Ry-axis:A=(2,4)鈫�(-2,4)
  3. Ry=x:A=(2,4)鈫�(4,2)

Step by step solution

01

a.Step 1. Given Information.

Coordinate of A is (2,4)

02

Step 2. Explanation.

Reflection of A=(2,4) in the x-axis is (2,-4).

03

Step 3. Conclusion.

So, the image of A in the x-axis is (2,-4), Rx-axis:A=(2,4)鈫�(2,-4)

04

b.Step 1. Given Information.

Coordinate of A is (2,4).

05

Step 2. Calculation.

Reflection of A=(2,4) in the y-axis is (2,-4).

06

Step 3. Conclusion.

So, Ry-axis:A=(2,4)鈫�(-2,4).

07

c.Step 1. Given Information.

Coordinate of A is (2,4).

08

Step 2. Calculation.

Reflection of A=(2,4) in the line y=x is (4,2)

09

Step 3. Conclusion.

Therefore, Ry=x:A=(2,4)鈫�(4,2).

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Most popular questions from this chapter

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?

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?

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