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Chapter 1: Q 88 (page 25)

Open the y-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 y axis has coordinatesB-x,y

Step by step solution

01

Step 1. Given Information

Open the y-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 the y-axis then point B will also move away, because the distance between point B and point A to the y-axis are equal.

03

Step 3. 

In the above case, the y-coordinates of point A and point B are equal, but the x-coordinate of the points are opposite.

IfAx,ythenB-x,y

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