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Chapter 14: Q11. (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 E.

Short Answer

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

Step by step solution

01

a.Step 1. Given Information.

Coordinate of point E is (-3,-2)

02

Step 2. Explanation.

Image of E (-3,-2) in the x-axis is

(-3,2)

03

Step 3. Conclusion.

So, the image of D in the x-axisis Rx-axis:E=(-3,-2)鈫�(-3,2)

04

b.Step 1. Given Information.

Coordinate of point E is (-3,-2)

05

Step 2. Calculation.

Image of (-3,-2)in the y-axis is (3,-2)

06

Step 3. Conclusion.

SO, Ry-axis:E=(-3,-2)鈫�(3,-2).

07

c.Step 1. Given Information.

Coordinate of point E is (-3,-2)

08

Step 2. Calculation.

Image of (-3,-2) in the line x=y is (-2,-3)

09

Step 3. Conclusion.

Therefore, Ry=x:E=(-3,-2)鈫�(-2,-3).

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Most popular questions from this chapter

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

If function f:x鈫�5x-7, find the image of 8 and the pre image of 13.

A line with equation y=x+5 is reflected in the x-axis. Find an equation of the image line.

Draw a triangle and a line m such that Rm maps the triangle to itself. What kind of triangle did you use?
  1. If f:x鈫�x, find the images of -3, 6, and -6.
  2. Is f a one-to-one function? Explain.
See all solutions

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