Proportional & Scale Factors

Trapezoid ABCD is similar to trapezoid GHIJ. What is the length of HI?

• Alex

• Adrianna

An environmental design architect creates a model of a park. The scale is 1.5 cm = 2.5 feet. If the model tree is 7.5 cm tall, how tall is the actual tree?

• Bryson

• Brenda

If the original figure is dilated by a scale factor of 2.5, what is the correct perimeter of the new figure?

• 50 meters

• 27.5 meters

• 25 meters

• 22.5 meters

Trapezoid LMNO is similar to trapezoid KLOP. If the sides of KLOP are 20 in, 8 in, 5 in, and 4 in, what is the correct value of x for the side LM of trapezoid LMNO?

• 7.5 in

• 10 in

• 8 in

• 6 in

Which proportion correctly shows the similarity between figure ABC and figure QRS?

• AB/RS = CA/SQ

• AB/BC = RS/SQ

• CA/AB = SQ/RS

• CA/SQ = BC/RS

If two bags of popcorn are similar in size and the larger bag is 15 cm in height and 8 cm in width, what is the height of the smaller bag of popcorn if it is 6 cm in width?

• 11.25 cm

• 7.5 cm

• 9 cm

• 10 cm

If the distance between Anaheim, CA and Sacramento, CA is 420 miles and a map shows this distance as 20 cm, what does 1 cm on the map represent in miles?

• 21 miles

• 19 miles

• 20 miles

• 42 miles

Given that triangle VWZ and YXZ are similar, which proportion correctly proves this is true?

• VW/WZ = YX/XW

• VW/WZ = YX/XZ

• VW/ZW = YX/ZX

• VW/ZW = YX/XW

The original figure is dilated by a scale factor of 0.6. What is the perimeter of the new figure?

• 16.8 feet

• 33.6 feet

• 28 feet

• 10.8 feet

The figures below are similar. What is the area of QRS?

• 9.6 inches²

• 4.8 inches²

• 2.4 inches²

• 1.2 inches²