Finding Missing Sides Similar Figures

Match the following similar figures to the correct missing side lengths.

(hint: use proportions to find the value of each variable)

• x=8

• 
• x=4

• 
• y=20

• 
• x=25

• 
• x=0.66666

• 

The following figures are similar. Use proportions to find the value of x.

ONLY FIND x!!

Mathematical Equivalence

ON

The following figures are similar. Use proportions to find the value of y.

ONLY FIND y!!

Mathematical Equivalence

ON

Chantel wanted to know the height of the ferris wheel at the fair. She measured the shadow of the ferris wheel to be 48 feet. Chantel is 5 feet tall. She measured her shadow to be 8 feet.

Find the height (x) of the ferris wheel (hint: use a proportion).

Mathematical Equivalence

ON

Determine the scale factor of the similar figures:

​ (a)  

• 2:5

• 6:15

• 10:25

• 8:20

• 5:2

• 15:6

• 25:10

• 20:8

Determine the scale factor of the similar figures:

​ (a)  

• 1:2

• 2:4

• 3:6

• 2:1

• 4:2

• 6:3

• 2:3

• 4:6

Determine the scale factor of the similar figures:

​ (a)  

• 4:3

• 3:4

• 20:15

• 15:20

Side TA and side​ ​ (a)   are corresponding (matching).

• MO

• AR

• TR

• OP

• MP

• TA

Draw a diagram of the following situation:

Leon wanted to know the height of his school building. Leon is 6 feet tall. His shadow is 8 feet long. The shadow of the building is 80 feet long.

Find the missing length x, in the picture.

• 3

• 9

• 10

• 12