Similarity Proportionality and Geometric Mean

Similar figures have the same ______ but different ______. 

• measure; shapes
• sizes; shapes
• value; measures
• shape; sizes

State the postulate that proves these triangles are similar.

• SSS
• AA
• SAS
• Not similar

Find side length X.

• 16
• 18
• 2.4
• 15

Find the missing length.

• 4
• 10
• 8
• 12

Find the missing length.

• 35
• 28
• 42
• 13

Find the missing length.

• 21
• 18
• 16
• 24

If the scale factor is greater than one, the new figure will be

• a reduction
• an enlargement
• a scale
• not proportional

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

• x = 19 cm
• x = 24 cm
• x = 3 cm
• x = 16.5 cm

What similarity theorem would you use to prove these triangles are similar?

• SAS∼
• SSS∼
• AA∼
• BUCK∼

Solve for f.

• 6
• 4
• 3
• 8