Similar and Indirect Measurement

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

Find missing side

• 5

• 7

• 9

• 11

For the pair of similar figures, find the length of each side marked with a variable.

• 8 in

• 1 in

• 9.8 in

• 9.3 in

Solve for X

• X = 2

• X = 4

• X = 8

• X = 32

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

Q1. What is the result of 74 + 30?

• 1) 74

• 2) 100

• 3) 104

• 4) 108

• 6.25
• 5.5
• 6
• 5.75

Read the problem and find the missing measurement.  Use labels or pictures to help set up the problem.
A home's height is 40 ft. and casts a shadow that is 12 ft..  A car in the driveway is 10 ft. high.  How long is the car's shadow?

• x = 3 ft.

• x = 12 ft.

• x = 120 ft.

• none of the above

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

Which side length corresponds with EF?

• ML

• LM

• OL

• EH