   Chapter 10.1, Problem 49E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# Given the point D 3, 2 , find the image of D after a counterclockwise rotation ofa) 90 ° about the point E 3, 4 .b) 180 ° about the point F 4, 5 .c) 360 ° about the point G a , b .

To determine

(a)

To find:

The image of D3, 2 after a counter clockwise rotation of 90° about the point E3, 4.

Explanation

The given point is D3, 2.

We have to plot the point in the graph and rotate it about the point E3, 4.

We have to find the distance between the point D3, 2 and E3, 4.

x1,y1=3, 2

x2,y2=3, 4

Formula for distance between two points

d=x2-x12+y2-y12

Substituting the x and y co

To determine

(b)

To find:

The image of D3, 2 after a counter clockwise rotation of 180° about the point F4, 5.

To determine

(c)

To find:

The image of D3, 2 after a counter clockwise rotation of 360° about the point Ga, b.

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