Question

Triangle STU has been dilated to form triangle PQR. What is the LEAST amount of information needed to prove the two triangles are similar?

Two pairs of corresponding angles and one pair of corresponding sides.
Two pairs of corresponding angles.
Two pairs of corresponding sides and one pair of corresponding angles.
Two pairs of corresponding sides

Answer 1

We need two pairs of corresponding angles.

Explanation:

Given that the triangle STU has been dilated to form triangle PQR.

Now, in order to prove the above two triangles similar there are 3 postulates from with which we can prove the two triangles similar. These postulates are

→ AA Similarity Postulate

→ SSS Similarity Postulate

→ SAS Similarity Postulate

Now the LEAST amount of information which is needed to prove similarity is AA Similarity i.e two pairs of corresponding angles.

Answer 2

The correct answer for the given mathematical question above would be the second option. Triangle STU has been dilated to form triangle PQR. The least amount of information needed in order to prove that these two triangles are similar is that, two pairs of corresponding angles. Only the two pairs of corresponding angles because all you have to know is the measurement of the two angles in each triangle.