Question

What transformation were applied to ABC to obtain A’B’C?

a-rotate 90degrees counterclockwise,then shift 2 units up
b- rótate 90 degrees counterclockwise then shift 2 units down
c- rótate 180 degrees counterclockwise, then shift 2 units up
d- rótate 180 degrees counterclockwise then shift 2 units down

Answer 1

A = (3,-2)

reflect along the y -axis ; set x=-x

(-3,-2)

reflect along the x-axis ; set y=-y

A' = (-3,2)

Same for B,C and D

ABCD is reflected across the y-axis and then the x-axis.

Explanation:

Answer 2

A )rotate 90 degrees counterclockwise,then shift 2 units up.

Explanation:

Given : graph .

To find : what transformation were applied to ABC to obtain A’B’C.

Solution : We have given graph

Parent ABC triangle with coordinates A(2 ,2) ; B (5 ,6) ; C ( 8 , 2).

Transformed triangle with coordinates A' (-2 ,4) ; B' (-6 ,7) ; C' ( -2 ,15).

By the rotational of 90° counter clockwise : (x ,y) →→ ( -y , x ).

And it is shifted by 2 unit up

(x ,y) →→ ( -y , x + 2 ).

A(2 ,2) →→ A' (-2 ,4)

B (5 ,6) →→ B' (-6 ,7)

C ( 8 , 2) →→ C' ( -2 ,15).

Therefore, A )rotate 90 degrees counterclockwise,then shift 2 units up.