Ratio of Similar Shapes

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1

Two similar cylinders have surface areas of 40π ft² and 90π ft². What is the ratio of the height of the large cylinder to the height of the small cylinder?

• 4/9

• 2/3

• 8/27

• 16/81

What is the ratio of the side lengths?

• 1.25

• 1.5

• 2

• 2.5

Which condition would prove that these two triangles are similar?

• Ratio of two sides and an included angle equal

• Three sides proportional

• AA

• Not Similar

Find side length X.

• 30

• 25

• 15

• 40

How do these triangles appear to be similar?

• AA

• Ratio of two sides and an included angle equal

• Three sides proportional

• Not Similar

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Find side length X.

• 16

• 18

• 2.4

• 15

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

Which condition to prove these triangles to be similar?

• AA

• Ratio of two sides and an included angle equal

• Three sides proportional

• Not Similar