Question

State if the triangles are similar. If so, how do you know they are

similar and complete the similarity statement.
STU~

Answer 1

Answer: No

Explanation:

In Triangle UTS,

UT = 96
TS = 64 + 44 = 108
US = 96
Angle S (common)

In Triangle CDS,

CD = 40
DS = 44
CS = 96 - 57 = 39
Angle S (common)

Now compare the Ratios of the Corresponding Sides.

=> UT/CD = 96/40 = 12/5
=> TS/DS = 108/44 = 27/11
=> US/CS = 96/39 = 32/13

Therefore, their Sides are not in proportional ratios. So, these triangles are not similar.

Answer 2

yes the triangles are similar

Explanation:

I know this because the triangle still keeps the same shape for both triangles, one is simply scaled down to size.