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10-8 hich series of transformations will map triangle ABConto triangle DER

10-8 hich series of transformations will map triangle ABConto triangle DER

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 68E
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Which series of transformations will map triangle ABC onto triangle DER A Reflect AABC across the y-axis, and dilate by a scale factor of 2 about the origin 8 Rotate AABC 90 degrees counterclockwise about the origin, and dilate by a scaie factor of 2 about the origin C) Rotate AABC 90 degrees clockwise about the origin, reflect across the line y=x and dilate by a scale factor of 2 about the origin D Reflect A ABC across the line y=x, rotate 90 degrees counterclockwise about the origin, and dilate by a scale factor of 2 about the origin
Transcribed Image Text:Which series of transformations will map triangle ABC onto triangle DER A Reflect AABC across the y-axis, and dilate by a scale factor of 2 about the origin 8 Rotate AABC 90 degrees counterclockwise about the origin, and dilate by a scaie factor of 2 about the origin C) Rotate AABC 90 degrees clockwise about the origin, reflect across the line y=x and dilate by a scale factor of 2 about the origin D Reflect A ABC across the line y=x, rotate 90 degrees counterclockwise about the origin, and dilate by a scale factor of 2 about the origin
Expert Solution
Step 1

The coordinates of the point of triangle ABC is 

A is (1,1)

B is (3,3)

C is (5,2)

When we rotate ABC 90 degree counterclockwise then 

(x,y)->(-y,x)

A is (1,1)->(-1,1)

B is (3,3)-> (-3,3)

C is (5,2)-> (-2,5)

 

 

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