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Chapter 14: Q38. (page 582)

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?

Short Answer

Expert verified

The given equation is y=-x

The given point is a,b

Step by step solution

01

Step 1. Given Information.

The given equation is y=-x

The given point is a,b

02

Step 2. Calculation.

Therefore, the graph can be obtained as,

Let us assume that the point is -4,4 then the image of the point is 4,4 about the x-axis.

03

Step 3. Conclusion.

The mirror image of the points are given in the graph.

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Most popular questions from this chapter

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

Consider the mapping S:x,y→x,0.

  1. Plot the points P4,5,Q-3,2, and R-3,-1 and their images.
  2. Does S appear to be an isometry? Explain.
  3. Is S a transformation? Explain.

▵XYZis isosceles with XY¯≅XZ¯. Describe a way of mapping each point of XY¯ to a point of XZ¯ so that the mapping is an isometry.

Explain how Corollary I follows from Theorem 14-1.

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.
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