Scale Factor Multiple Choice

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75
• 9.75
• 10
• 12

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

• Congruent
• Vertical
• Similar
• Complementary 

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

All angles in similar figures are congruent.  

• True
• False

Find missing side

• 5
• 7
• 9
• 11

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

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

• 217

• 288

• 295

• 306

Which side length corresponds with EF?

• ML
• LM
• OL
• EH

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• Yes, similar because they are the same shape and side lengths are proportional.
• No, not similar because they are the same shape, but side lengths are not proportional.
• Yes, same shape
• No, different sizes