Question

The two polygons below are similar.

T
4
s
E
137°
1
1
F
430
439
D
ܫܕ
1
137°
С
U
4
V
Complete the similarity statement.
CDEF ~ UVST
What is the similarity ratio of the first polygon to the second polygon?
Simplify the similarity ratio and write it as a proper fraction, improper fraction, or whole
number

Answer 1

The similarity ratio is 4 4/1 or 4

Explanation:

You find that one of them has side lengths of 1 and the other has side lengths of 4

Answer 2

Similarity statement is a little mixed up.

Explanation:

Your similarity statement is a little off. The order in the statement DOES MATTER. For example angle E corresponds with angle V or T (∠V≅∠T). These would be correct...

• CDEF similar TUVS
• CDEF similar TSVU
• CDEF similar VSTU
• CDEF similar VUTS

...**

• FEDC similar UTSV
• FEDC similar STUV**

**There are a lot but the first letter of the first polygon corresponds with the first letter of the second polygon and so on. That is the only way this statement is true. There are about a 96 different combinations for this so any one would work.

The similarity ratio is the same thing as asking "what value would make the first polygon congruent to the second"? In this case 1(x) = 4, x = 4. Therefore the ratio is 4, or 4/1 (if asked can also be written as 4:1. THE ORDER IS ALSO VERY IMPORTANT.