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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(鈭�4,5)鈫�(鈭�4,鈭�5)Rx:B(2,4)鈫�(2,鈭�4)Rx:C(5,鈭�1)鈫�(5,1)Rx:D(x,y)鈫�(x,鈭�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(鈭�4,5)鈫�(鈭�4,鈭�5)Rx:B(2,4)鈫�(2,鈭�4)Rx:C(5,鈭�1)鈫�(5,1)Rx:D(x,y)鈫�(x,鈭�y)

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Most popular questions from this chapter

A piece of paper is wrapped around a globe of the Earth to form a cylinder as shown. O is the center of the Earth and a point P of the globe is projected along OP鈫�to a point P'of the cylinder.

Is the image of the Arctic Circle congruent to the image of the equator?

Draw the x-axis and y-axis and the vertical line jwith equation x=5. Find the images under Rj of the following points.

  1. 4,3
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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.

Rk:A鈫�?炉.

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

Rk:BC鈫�鈫�?炉

Under a reflection, is an angle mapped to a congruent angle? Is a polygon always mapped to a polygon with the same area? Explain.
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