Question

I need help by the way the answer choices are the same

Answer 1

Given that the triangle FGH is the Image of the triangle ABC after a translation of 5 units up to the right and 8 units down, you know that the corresponding angles are matched up and they are in the same spot. This means that:

Since in Translation the angles do not change and the angles:

• A and F are corresponding angles, they have the same measure, and angles A and H are different.

,

• Angles C and H are corresponding angles. Therefore, they are congruent. Then, angles C and G are different.

,

• Angles B and G are corresponding angles and they have the same measure. Therefore, B and F are different.

Hence, the answer is:

$\begin{gathered} \angle A\text{ and }\angle H\rightarrow different \\ \angle C\text{ and }\angle H\rightarrow same \end{gathered}$$\begin{gathered} \angle B\text{ and }\angle F\rightarrow different \\ \angle C\text{ and }\angle G\rightarrow different \\ \angle A\text{ and }\angle F\rightarrow same \end{gathered}$$\angle B\text{ and }\angle G\rightarrow same$