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Chapter 14: Q39. (page 582)

Draw the x-axis and y-axis and the vertical line jwith equation x=5. Find the images under Rj of the following points.

  1. 4,3
  2. 0,-2
  3. -3,1
  4. x,y

Short Answer

Expert verified

a.

b.

c.

d.

Step by step solution

01

a.Step 1. Given Information.

The given line is x=5 and the point is 4,3.

02

Step 2. Explanation.

Therefore, the graph is obtained as,

03

Step 3. Conclusion.

The graph is obtained with mirror image of the point 4,3 at 6,3.

04

b.Step 1. Given Information.

The given line is x=5 and the point is 0,-2.

05

Step 2. Calculation.

Therefore, the graph is obtained as,

06

Step 3. Conclusion.

The graph is obtained with mirror image of the point 0,-2 at 10,-2.

07

c.Step 1. Given Information.

The given line is x=5 and the point is -3,1.

08

Step 2. Calculation.

Therefore, the graph is obtained as,

09

Step 3. Conclusion.

The graph is obtained with mirror image of the point -3,1 at 10,1.

10

d.Step 1. Given Information.

The given line is x=5 and the point is x,y.

11

Step 2. Calculation.

Therefore, the graph is obtained as,

12

Step 3. Conclusion.

The graph is obtained with mirror image of the point x,y at 10-x,y.

Let us assume that x,y is 0,0 then the mirror image will be at 10,0.

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Most popular questions from this chapter

A ball rolls at a 45° angle away from one side of the billiard table that has a coordinate grid on it. If the ball starts at the point 0,1 it will eventually return to its starting point. Would this happen if the ball started from other points on the y-axis between 0,0 and 0,4?

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

Rj:linek→?¯

Points A-D are reflected in the x-axis. Points E-H are reflected in the y-axis. State the coordinates of the images.

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 E.

Copy each figure on graph paper. Then draw the image by reflection in line k.
See all solutions

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