http://www.ck12.org Chapter 7. Similarity
Guided Practice
Determine if the following triangles are similar. If so, write the similarity theorem and statement.
2.
3.
Answers:
- We can see that^6 B∼=^6 Fand these are both included angles. We just have to check that the sides around the
angles are proportional.
AB
DF=
12
8 =3
2
BC
F E=24
16 =3
2
Since the ratios are the same 4 ABC∼4DF Eby the SAS Similarity Theorem.
- The triangles are not similar because the angle is not the included angle for both triangles.
3.^6 Ais the included angle for both triangles, so we have a pair of congruent angles. Now we have to check that the
sides around the angles are proportional.
AE
AD=
16
16 + 4 =16
20 =4
5
AB
AC=24
24 + 8 =24
32 =3
4
The ratios are not the same so the triangles are not similar.
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