Questions: Given the figure below determine if the pair of triangles are similar or not, then identify the similarity postulate and the similarity statement.

Given the figure below determine if the pair of triangles are similar or not, then identify the similarity postulate and the similarity statement.

Transcript text: Given the figure below determine if the pair of triangles are similar or not, then identify the similarity postulate and the similarity statement.

Solution

Solution Steps

Step 1: Analyze the given angles

Triangle STH has an angle of 61° at vertex T. Triangle GHF has an angle of 61° at vertex G. They also share the vertical angle HTS and GHF, which are congruent.

Step 2: Determine Similarity

Since two angles of triangle STH are congruent to two angles of triangle GHF, the triangles are similar by the Angle-Angle (AA) similarity postulate.

Step 3: Write the Similarity Statement

The similarity statement can be written as ΔSTH ~ ΔFHG.