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Chapter 14: Q13. (page 579)

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

Short Answer

Expert verified

Rx:A(−4,5)→(−4,−5)Rx:B(2,4)→(2,−4)Rx:C(5,−1)→(5,1)Rx:D(x,y)→(x,−y)

Step by step solution

01

Step 1. Given Information.

Four points and there coordinate are, A(-4,5), B(2,4), C(5,-1) and D(x,y).

02

Step 2. Explanation.

Image of any point in the x axis is the point which has same x-coordinateand negative y-coordinate.

Therefore,

Image of (-4,5)is (-4,-5).

Image of (2,4) is (2,-4).

Image of (5,-1) is (5,1).

Image of (x,y) is (x,-y).

03

Step 3. Conclusion.

Hence, the coordinates of the image are,

Rx:A(−4,5)→(−4,−5)Rx:B(2,4)→(2,−4)Rx:C(5,−1)→(5,1)Rx:D(x,y)→(x,−y)

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Most popular questions from this chapter

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

Case 2.

Explain why each of the correspondences pictured below is not a one-to-one mapping from set A to set 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→2x+4,2y-2

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.

M:x,y→12-x,y

What is the image of point N?
See all solutions

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