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Chapter 14: Q9. (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 C.

Short Answer

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

Step by step solution

01

a.Step 1. Given Information.

Coordinate of point C is (0,-2).

02

Step 2. Explanation.

Image of (0,-2) in the x-axis is (0,2).

03

Step 3. Conclusion.

So, the image of C in the x-axisis Rx-axis:C=(0,-2)鈫�(0,2)

04

b.Step 1. Given Information.

Coordinate of point C is (0,-2).

05

Step 2. Calculation.

Image of (0,-2) in the y-axis is (0,-2) as the point is on y-axis

06

Step 3. Conclusion.

So, Ry-axis:C=(0,-2)鈫�(0,-2).

07

c.Step 1. Given Information.

Coordinate of point C is (0,-2).

08

Step 2. Calculation.

Image of (0,-2)in the line x=y is (-2,0)

09

Step 3. Conclusion.

Therefore, Ry=x:C=(0,-2)鈫�(-2,0).

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Most popular questions from this chapter

If function g:x鈫�8-3x, find the image of 5 and the pre image of 0.

The red and blue squares are congruent and have the same center O. A mapping maps each point P of the red squares to the point P' where OP鈫� intersects the blue squares.

  1. Is the mapping a one-to-one?
  2. Copy the diagram and locate a point X that is its own image.
  3. Locate two points R and S on the red squares and their images R' and S' on the blue squares that have the property that RS鈮�R'S'.
  4. Does the mapping preserve distance?
  5. Describe a mapping from the red square onto the blue square that does preserve distance.

In Exercise 18-20, refer to the diagrams on page 578. Given the reflection Rm:PQ鈫�鈫�P'Q'鈫�, write the key steps of a proof that PQ=P'Q'for each case.

Case 2.

In each exercise Rk:A鈫�A'. Find an equation of line k.

Explain how Corollary I follows from Theorem 14-1.
See all solutions

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