Question

Triangle ABC is the result of a 180° rotation of triangle EFG about point D. Which angle in the image corresponds to ∠E in the pre-image?

∠A
∠B
∠C

Answer 1

∠E corresponds to ∠A .

Explanation:

Given: Triangle ABC is the result of a 180° rotation of triangle EFG about point D.

To find: Which angle in the image corresponds to ∠E in the pre-image?

Solution : We have a triangle ABC which is pre image of EFG at rotaion of 180°.

By the rotation rule of 180°. (x.y) ----> (-x,-y).

Therefore , ∠E corresponds to ∠A .

Answer 2

angle E would be angle A in the original triangle