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Chapter 14: Q14. (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

Ry:E(0,5)鈫�(0,5)Ry:F(6,3)鈫�(鈭�6,3)Ry:G(鈭�3,1)鈫�(3,1)Ry:H(x,y)鈫�(鈭�x,y)

Step by step solution

01

Step 1. Given Information.

The coordinate of points are E(0,5), F(6,3), G(-3,1) and H(x,y)

02

Step 2. Explanation.

When a point is reflected in the y-axis its y-coordinateremains same but its

x-coordinatesign change to its negative.

Therefore,

The image of E(0,5)is (0,5).

The image of F(6,3)is (-6,3).

The image of G(-3,1)is (3,1).

The image of H(x,y)is (-x,y).

03

Step 3. Conclusion.

Hence, the coordinates of the image are,

Ry:E(0,5)鈫�(0,5)Ry:F(6,3)鈫�(鈭�6,3)Ry:G(鈭�3,1)鈫�(3,1)Ry:H(x,y)鈫�(鈭�x,y)

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

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