Ratios Similar Triangles

Are these figures similar?

• yes

• no

Are the triangles similar?

• Yes

• No

Use the information in the diagram to determine the height of the tree.

• 80 feet

• 320 feet

• 40 feet

• 160 feet

If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?

• 41.7 ft

• 36.6 ft

• 34.6 ft

• 38.8 ft

A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.

• 4 ft

• 2 ft

• 8 ft

• 6ft

Are the triangles similar?

• Yes

• No

Are these figures similar?

• yes

• no

What is the scale factor from ΔABC to ΔDEF?

• 1/2

• 7/3

• 2

• 10/3

• 3/10

What is the scale factor from ΔABC to ΔXYZ?

• 4/5

• 3/2

• 2

• 5/2

• 5/4

The ratio of the sides of two similar triangles is 5:6. If the area of the smaller triangle is 50 km², what is the area of the larger triangle?

• 60 km²

• 72 km²

• 34.7 km²

• 42.7 km²