Similar and Indirect Measurement

Which of the following is NOT true about similar figures?

• Similar figures always have the same shape.

• Similar figures always have the same size.

• Similar figures always have corresponding angles that are equal.

• Similar figures always have corresponding sides that are proportional.

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 power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How many meters tall is the building?

A map has a scale of 3 cm:18km.  If Oakdale and Woodridge are 54 km apart, then they are how many centimeters apart on the map?

Which is NOT true about similar triangles.

• The angles in the triangles are congruent to each other.

• The sides are proportional to each other.

• The angles in each triangle add up to 180^o.

• The triangles must have at least one side that is the same length.

Which triangles are similar to triangle A?

• B

• C

• Both

• None

Find side length X.

• 30

• 25

• 15

• 40

What does it mean for two shapes to be similar?

• Same shape, but different size.

• Same size and same shape.

• Their angles add up to 180^o.

• They are congruent.

Find the measure of the missing angle.

• 8^o

• 58^o

• 122^o

• 64^o