Properties of Similar Triangles

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

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 polygon was dilated by scale factor of 4 to form a similar polygon.

If the original polygon has an area of 5 units², was is the area of the image?

Answer: _______ units²

A polygon was dilated by scale factor of 0.5 to form a similar polygon.

If the image has an perimeter of 50 units, what is the perimeter of the pre-image?

Answer: _______ units

The tips of the shadows of a building and a pole are at the same point.

The pole is 10 m tall casts a shadow 8 meters long

If the building is 17.5 m tall, how far from the building is the pole?

• 6 m

• 7.5 m

• 14 m

• 17.5 m

The trapezoids are ___________ .

• similar

• congruent

• similar and congruent

• not similar or congruent

The quadrilaterals are ___________.

• similar because all corresponding angles are congruent

• similar because all corresponding side lengths are proportional

• not similar

• not enough information

Determine whether or not the triangles are similar. If they are similar, state the postulate that proves these triangles are similar & complete the similarity statement.

• Yes by SSS; FGH

• Yes by SAS; GHF

• Yes by SSS; HFG

• Yes by SAS: HFG

• not similar

Determine whether or not the triangles are similar. If they are similar, state the postulate that proves these triangles are similar & complete the similarity statement.

• Yes by SSS; TUV

• Yes by SSS; VTU

• Yes by AA; TUV

• Yes by AA; VTU

• Not Similar

State the postulate that proves these triangles are similar. (Check all that apply).

• SSS

• AA

• SAS

• Not similar

• Not enough information