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Chapter 1: Q 90 (page 25)

Open the origin 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

IfAx,ythenB-x,-y

Step by step solution

01

Step 1. Given information

Open the origin symmetry applet. Move point A around the Cartesian plane with your mouse.

02

Step 2. Relation between the coordinates

If point A moves from the origin then point B also moves away because the distance of point B and point A to the origin are equal.

03

Step 3. 

The x and y coordinates of points A and B are opposite values, therefore the conclusion is the same if we move point A along the other quadrants

Point B which is axisymmetric to point Ax,ywith respect to y-axis has coordinatesB-x,-y

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