1. proportional

2. 8 4 2 12 3 9 6
not equal
not similar 8 16 1 2 12 24 9 18
equal ABC GHJ

3. 10 20 11 11 4 10 8 20 4 10 25 11
SSS Similarity Theorem

4. ∆PQR ~ ∆ZXY x 30 = 42 35 AB QR BC RP
x = 36

5. proportional

6. B E
B E DE BC 32 20 8 5
proportional
SAS Similarity Theorem
Yes, the top and bottom are similar. If the side
length of the top is a, and the bottom is b, then
ratio of all the corresponding sides is , and all
corresponding angles are congruent. The triangles
are similar by SAS or SSS. a b

8. QR RS = 9 12 3 4 PR TR = 18 24 3 4
proportional
congruent
vertical
SAS Similarity Theorem

9. LK MK = 28 16 7 4 KJ KL 49 JL LM 56 32
All of the corresponding sides
are proportional so the triangles
are similar by the SSS Similarity
Theorem.