Scale Factors

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

• 3.75
• 9.75
• 10
• 12

Tags

CCSS.HSG.SRT.A.2

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

• Congruent
• Vertical
• Similar
• Complementary 

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Tags

CCSS.HSG.SRT.A.2

All angles in similar figures are congruent.  

• True
• False

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Find missing side

• 5
• 7
• 9
• 11

Tags

CCSS.HSG.SRT.A.2

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

Tags

CCSS.7.G.A.1

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

Tags

CCSS.HSG.SRT.B.5

• 217

• 288

• 295

• 306

Tags

CCSS.HSG.CO.C.9

Which side length corresponds with EF?

• ML
• LM
• OL
• EH

Tags

CCSS.8.G.A.2

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6