Scale Factors Within Similar Shapes and Proportions

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner?

• 72 in

• 60 in

• 62 in

• 80 in

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

• 12 feet

• 16 feet 

• 10 feet

• 4 feet

If the actual dimensions of the kitchen are 24 ft. by 24 ft., what is the scale of the drawing?

• 1cm : 9ft

• 1cm : 8ft

• 4cm : 1ft

• 1cm : 4ft

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

• 14 in 

• 7 in

• 42 in

• 56 in

Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing?1 inch = _ yards

• 1372

• 5

• 14

• 7

If the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?

• 300

• 4.8

• 3

• 4

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

• x = 19 cm

• x = 24 cm

• x = 3 cm

• x = 16.5 cm

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet