Which sequence of transformation will carry triangle ABC onto triangle A'B'C?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
Problem 29E
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Which sequence of transformation will carry triangle ABC onto triangle A'B'C?

 

12 345 6
Which sequence of transformations will carry triangle ABC onto triangle A'B'C"?
OA translation left 3 units and translation up 1 unit
B. translation left 1 unit and translation down 3 units
OC 180° clockwise rotation about the origin and a reflection about the y-axis
OD 180° clockwise rotation about the origin and a reflection about the y line
Transcribed Image Text:12 345 6 Which sequence of transformations will carry triangle ABC onto triangle A'B'C"? OA translation left 3 units and translation up 1 unit B. translation left 1 unit and translation down 3 units OC 180° clockwise rotation about the origin and a reflection about the y-axis OD 180° clockwise rotation about the origin and a reflection about the y line
Expert Solution
Step 1

Let us take one point each on both triangles

C (0,1)

C'(-1,-2)

So there is decrease in 1 unit on x axis 

And decrease of 3 units on y axis

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