Finding Scale Factor
X =
Triangles!
Similar or Not Similar?
100

If a cube of edge length 12 cm is enlarged to create a cube of edge length 36 cm. What is the scale factor?



3

100

If the scale factor is 4, what is the measurement of x?

24m

100

The side CB corresponds to the side ___

ZY

100

Are these two triangles similar? 



YES! 

200

What is the scale factor used to make figure B?



1/2 or 0.5 or 50%

200

These triangles are similar. The value of the unknown side length x is ...

9

200

What is the scale factor when creating the second shape?

1.25

200

Are these triangles similar? Why or why not?

NO! 5/15 is not the same as 4/6.

300

What is the Scale Factor from triangle DEF to triangle D'E'F'?


1.5cm

300

Find the value of x and y if these triangles are similar: 

y = 9

x = 32

300

Which angle corresponds with ∠X?

∠E

300

A traingle has one interior angle of 58o. A similar traingle has one interior angle of 90o. What are all 3 of the interior angles of both triangles? 

58, 90, and 32
400

What is the Scale Factor used to create Figure B?

4

400

The value of the unknown side length x is ...

 x = 15.75

400

How tall is the flag pole?


51 ft. 

400

Are these triangles similar? Why or Why not? 

Yes! 

500

A rectangular garden is drawn on a blueprint using a scale factor of 1:20. On the blueprint, the garden measures 6 cm by 4 cm. What are the dimensions of the actual garden?

  • Length: 1.2 meters (120cm)

  • Width: 0.8 meters (80cm)

500

Use the similar triangles below to find the height of the tree.

44ft

500

20 ft. 

500

A famous painting is being reproduced as a smaller framed print for sale in a gift shop. The original painting is 240 cm wide and 160 cm tall. The print version is scaled down so that its width is 60 cm.

What is the scale factor from the original painting to the print? And how tall is the print version?

Scale factor = 1/4 or 0.25

The print will be 40cm tall.