Measuring Proportion

If ΔGFE~ΔCBE, find the value of x. 

• x=9

• x=18

• x=36

• x=1.2

The scale factor from figure A to figure B is 4.  How many times larger is the perimeter of B than the perimeter of A?

• 4

• 16

• 8

• 2

The scale factor from figure A to figure B is 4.  How many times larger is the area of B than the area of A?

• 4

• 16

• 8

• 2

Are these figures similar?

• yes

• no

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 pair of figures is similar. Find the missing side.

• x = 1

• x = 3

• x = 9

• x = 5

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Using a proportion, find the height of the tree.

• x = 0.0625 ft.

• 16 ft

• x = 16 ft.

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

Sides in similar figures must be proportional.  

• True

• False