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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

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 B.

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.

S:x,y鈫�2x+4,2y-2

Draw the x-axis and y-axis and the line l with equation y=-x. Plot several points and their images under Rl. What is the image of a,b?

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

Rk Stands for ?炉.

Draw a line t and a point A not on t. Then use a straightedge and compass to construct the image of A under Rt.
See all solutions

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