Question

Perform the following series of rigid transformations on ∆ABC:

Translate ∆ABC by moving it 5 units to the right and 2 units up.
Draw the line y = -x, and reflect ∆A'B'C' across the line.
Rotate ∆A''B''C'' counterclockwise about the origin by 270°.

Answer 1

Answer:

Step-by-step explanation:

( x , y ) ----> ( x + 5 , y + 2 ) ----> ( - ( y + 2 ) , - ( x + 5 ) ) ----> ( - ( x + 5 ) , - ( - ( y + 2 ) ) )

A ( - 6, - 1 ) -----> A' ( - 1 , 1 ) ----> A'' ( - 1 , 1 ) ----> A''' ( 1 , 1 )

B ( - 3, - 3 ) ----> B' ( 2 , - 1 ) ----> B" ( 1 , - 2 ) ----> B''' ( - 2 , - 1 )

C ( - 1, - 2 ) ----> C' ( 4 , 0 ) ----> C'' ( 0 , - 4 ) ----> C''' ( - 4 , 0 )