Question

Determine if the triangles are similar. If similar, state how and complete the similarity statement.
The triangles are___
TUS~ ___

Answer 1

Answer:

Step-by-step explanation:

so all the angles of a triangle add up to 180 degrees

180-42-62= 76

so we know angle TUS is 76 degrees

the other triangle has an angle of 78 degrees which isn't 42, 62, or 76.

The triangles are not similar because similar shapes have congruent angles

Answer 2

Both triangles only have one pair of congruent angles (m∠TSU ≅ m∠RSQ), therefore, the triangles are not similar.

What are Similar Triangles?

• Similar triangles have corresponding angles that are congruent to each other and also have corresponding congruent sides that are proportional to each other.
• Similar triangles always possess the same shape but different sizes.

From the image given:

m∠TSU = m∠RSQ = 62°

m∠TUS = 180 - 42 - 62 = 76°

m∠QRS = 180 - 78 - 62 = 40°  

Thus, both triangles only have one pair of congruent angles (m∠TSU ≅ m∠RSQ), therefore, the triangles are not similar.

Learn more about similar triangles on:

https://brainly.com/question/1995263