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Chapter 14: Q10. (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 D.

Short Answer

Expert verified
  1. Rx-axis:D=(-2,1)鈫�(-2,-1)
  2. Ry-axis:D=(-2,1)鈫�(2,1)
  3. Ry=x:D=(-2,1)鈫�(1,-2)

Step by step solution

01

a.Step 1. Given Information.

Coordinate of point D is (-2,1)

02

Step 2. Explanation.

Image of (-2,1) in the x-axis is (-2,-1)

03

Step 3. Conclusion.

So, the image of D in the x-axisis Rx-axis:D=(-2,1)鈫�(-2,-1)

04

b.Step 1. Given Information.

Coordinate of point D is (-2,1)

05

Step 2. Calculation.

Image of (-2,1) in the y-axis is (2,1).

06

Step 3. Conclusion.

So, Ry-axis:D=(-2,1)鈫�(2,1).

07

c.Step 1. Given Information.

Coordinate of point D is (-2,1)

08

Step 2. Calculation.

Image of (-2,1) in the line x=y is (1,-2)

09

Step 3. Conclusion.

Therefore, Ry=x:D=(-2,1)鈫�(1,-2).

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