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Chapter 1: Q 89 (page 25)

Open the x-axis symmetry applet. Move point A around the Cartesian plane with your mouse. How are the coordinates of point A and the coordinates of point B related?

Short Answer

Expert verified

Point B which is axisymmetric to point A(x, y) with respect to the x-axis has coordinates B(x,-y)

Step by step solution

01

Step 1. Given information

Open the x-axis symmetry applet. Move point A around the Cartesian plane with your mouse.

02

Step 2. Relation between coordinates 

If point A moves away from y-axis from the y axis, so the point B also moves away, because the distance between point B and point A to the y axis are equal.

03

Step 3

The conclusion is the same if we move point A along the other quadrant

If A(x,y) thenB(x,-y)

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