Question

HELP PLEASE!!1!

Answer 1

A 180º rotation around the origin changes the coordinates from (x, y) to (-x, -y).
A translation 7 units up increases the y value by 7 units.
A reflection over the x-axis results in the y-values being opposites.

Answer 2

180° rotation about the origin change the coordinates from (x,y) to (-x,-y). In this exercise:

A = (-4, 5) -> (4, -5)  

B = (-3, 1) -> (3, -1)

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

Translation 7 units up change the coordinates from (x, y) to (x, y+7). Continuing with the exercise:

(4, -5) -> (4, 2)

(3, -1) -> (3, 6)

(5, -2) -> (5, 5)

Which are not the coordinates of triangle DEF.

Reflection across the x-axis change the coordinates from (x, y) to (x, -y). In this exercise:

A = (-4, 5) -> (-4, -5)  

B = (-3, 1) -> (-3, -1)

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