Math

QuestionIf AFGRHT\triangle A F G \sim \triangle R H T, find T\angle T \cong a. A\angle A b. F\angle F c. G\angle G d. R\angle R.

Studdy Solution

STEP 1

Assumptions1. Triangle AFG is similar to triangle RHT. . The order of the vertices in the triangle notation indicates the corresponding angles in the similar triangles.

STEP 2

The concept of similar triangles states that corresponding angles of similar triangles are congruent. This means that the first angle in the first triangle corresponds to the first angle in the second triangle, the second angle in the first triangle corresponds to the second angle in the second triangle, and so on.

STEP 3

In our case, triangle AFG is similar to triangle RHT. So, we can write this asAFGRHT\triangle AFG \sim \triangle RHT

STEP 4

This implies that AR\angle A \cong \angle R, FH\angle F \cong \angle H, and G\angle G \cong \angle.

STEP 5

So, \angle is congruent to G\angle G.
Therefore, the correct answer is c. G\angle G.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord