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Geometry – 3.7 – SSS~
Name
Pd.
1. State the 3 ways to prove triangles are similar and what you need to show to use each.
___________ , need to show ______________________________________________________________________
___________ , need to show ______________________________________________________________________
___________ , need to show ______________________________________________________________________
2. To prove ∆ACB ~ ∆PXQ by using SSS Similarity Theorem, complete the proportion that is needed
𝐴𝐶
=
𝑋𝑄
=
𝐴𝐵
3. Is ∆ABC ~ ∆DEF (yes or no)? Show work and state the scale factor.
∆ABC: AB = 10, BC = 16, AC = 20
Yes
∆DEF: DE = 25, EF = 40, DF = 50
or
No
scale factor = __________
Determine whether the triangles are similar using SSS ~. Show work by showing the ratios! If
they are similar, write a similarity statement.
4.
5.
Yes
or
No
Yes
If Yes, ∆DEF ~ ∆____________
6.
or
No
If Yes, ∆DEF ~ ∆____________
7.
Yes
or
No
If Yes, ∆PQR ~ ∆____________
Yes
or
No
If Yes, ∆ACF ~ ∆____________
Determine whether the triangles are similar. Show work! If they are, tell which method was used
to show the triangles are similar. If SAS~ or SSS~, then show ratios!
8.
9.
Yes
or
If Yes, why? AA~
No
or
SAS~ or SSS~
10.
Yes
or
No
If Yes, why? AA~
or
SAS~ or SSS~
11.
Yes
or
If Yes, why? AA~
No
or
Yes
SAS~ or SSS~
or
No
If Yes, why? AA~
or
SAS~ or SSS~
Solve for the missing information, given that the two triangles are SIMILAR. Set up a proportion
and solve. Show work!
12.
13.
y = _________
14.
z = _________
15. Review: The angles of a triangle have the
extended ratio of 3:5:10. Find the measures
of the angles of the triangle. (show work!)
ZV = _________
______ , ______ , ______