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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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Most popular questions from this chapter

Show that the line containing the points (a, b) and (b, a), a b, is perpendicular to the line y = x. Also show that the midpoint of (a, b) and (b, a) lies on the line y = x.

Graph the line containing the point P and having slope m.

P(0,3),m=undefined

True or False

In using a graphing utility to solve an

equation, exact solutions are always obtained.

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(2,0);(2,2)

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(a,b);P2=(0,0)
See all solutions

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