Similarity, Geometric Mean, Side Splitter

Which conditions must be met for two triangles to be similar?

• Corresponding angles are congruent, and corresponding sides are proportional.

• Corresponding angles are congruent, and corresponding sides are congruent.

• Corresponding angles are unequal, and corresponding sides are proportional.

• Corresponding angles are proportional, and corresponding sides are congruent.

Use the similarity statement to set up a proportion. Then solve for x.

• 5

• 9

• 8

• 2

Determine if the triangles are similar or NOT similar. If similar, which Triangle Similarity Theorem proves similarity.

• SAS

• SSS

• AA

• Not similar

Use the Side-Splitter Theorem to solve for x.

• x = 10

• x = 7

• x = 3

Determine if these triangles are similar or NOT similar. If similar, state the Similar Triangle Theorem that proves similarity.

• AA

• SAS

• SSS

• Not Similar

Find the geometric mean for 2 and 25.

• 5

• 2√5

• 2

• 5√2

Find the value of x.

• 2√7

• 7√2

• √28

• 28

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

• 100
• 110
• 120
• 130

Select all the true similarity statements.

• ▲PQS ~ ▲QRS

• ▲PQR ~ ▲PQS

• ▲QSR ~ ▲PQR

• ▲RSQ ~ ▲QSP

• ▲QRP ~ ▲QSP