Similarity and Ratio

• None of these
  

Which of the following is proof that circle A with center (2, -2) and radius 8 is similar to circle B with center (–5, 2) and radius 4?

• AA~ only
  

• SAS~ only
  

• AA~ & SAS~

• AA~, SAS~, & SSS~
  

• The triangles are not similar
  

• AA~

• SSS~

• SAS~

• The triangles are not similar.
  

If the sides of two similar triangles are in the ratio 2:3, and the perimeter of the smaller triangle is 18 cm, what is the perimeter of the larger triangle?

• 24 cm

• 27 cm

• 30 cm

• 36 cm

A 5 ft tall person casts a 10 ft shadow. At the same time, a nearby tree casts a 40 ft shadow. How tall is the tree?

• 10 ft

• 15 ft

• 20 ft

• 25 ft

Two rectangles are similar. The first rectangle has sides of lengths 4 cm and 6 cm. If the second rectangle has a longer side of 9 cm, what is the length of its shorter side?

• 5.5 cm

• 6 cm

• 6.5 cm

• 7 cm

A scale model of a building is made using a scale factor of 1:100. If the actual building is 150 meters tall, how tall is the model?

• 1.5 meters

• 1 meter

• 0.5 meters

• 2 meters

In a pair of similar polygons, the ratio of their corresponding sides is 5:7. If the area of the smaller polygon is 200 square units, what is the area of the larger polygon?

• 280 square units

• 392 square units

• 490 square units

• 560 square units

A map scale indicates that 1 inch represents 50 miles. If two cities are 3 inches apart on the map, how far are they actually from each other?

• 100 miles

• 150 miles

• 200 miles

• 250 miles