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Chapter 14: Q12. (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 O.

Short Answer

Expert verified
  1. Rx-axis:O=(0,0)鈫�(0,0)
  2. Ry-axis:O=(0,0)鈫�(0,0)
  3. Ry=x:O=(0,0)鈫�(0,0)

Step by step solution

01

a.Step 1. Given Information.

Coordinate of point O is (0,0)

02

Step 2. Explanation.

The image of O (0,0) in the x-axis is (0,0)as the point lie in the line of reflection

03

Step 3. Conclusion.

So, the image of D in the x-axisis Rx-axis:O=(0,0)鈫�(0,0)

04

b.Step 1. Given Information.

Coordinate of point O is (0,0)

05

Step 2. Calculation.

Image of O (0,0)in the y-axis is (0,0) as the point pass through the y-axis.

06

Step 3. Conclusion.

So, Ry-axis:O=(0,0)鈫�(0,0).

07

c.Step 1. Given Information.

Coordinate of point O is (0,0).

08

Step 2. Calculation.

The image of (0,0) in the line x=y is (0,0)as the point lie in the line of reflection.

09

Step 3. Conclusion.

Therefore, Ry=x:O=(0,0)鈫�(0,0).

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Most popular questions from this chapter

  1. Plot the three points A0,4, B4,6 and C2,0,and their images A', B', and C' under the transformation T:x,y鈫�x+4,y-2.
  2. State whether the transformation appears to be an isometry.
  3. Find the pre image of 12,6.

Explain in your own words the meaning of each phrase.

  1. An isometry preserves distance.
  2. Area is invariant under a reflection.
  3. Orientation is not invariant under a reflection.

Show how to score a hole in one on the fifth hole of the golf course shown by rolling the ball off the wall.

Repeat Exercise 26 but roll the ball off three walls.

For each transformation given:

  1. Plot the three points A0,4, B4,6, and C2,0 and their images A', B', and C' under the transformation.
  2. State whether the transformation appears to be an isometry.
  3. Find the pre image of 12,6.

H:x,y鈫�-x,-y
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