Scale Factor
A square's sidelengths measure 4 inches. An image is created having sidelengths of 16 inches.
What scale factor was applied? Write your answer as a percent.
16 ÷ 4 = 4
4 becomes 400%
What is 400%?
Use the shadow method:
Height of Amy's brother = ? Length of Amy's brother's shadow = 12 ft.
Height of Amy = 3 ft. Length of Amy's shadow = 6 ft.
What is 6 feet? (SF = 2)
If you are graphing and the image's coordinate points are:
(5x, 8y)
what will happen to the image on the graph?
What is "5 times wider and 8 times taller"?
Original (x, y) Image (5x, 5y)
What is yes, similar.
(Same scale factor applied)
What is the perimeter of a square with side lengths measuring 20 ft?
What is 80 ft?
What scale factor was used to create an image that is three times larger?
What is 300%?
Use the shadow method:
Height of bookshelf = ? Distance bookshelf is from mirror = 300 cm.
Height of Jake = 120 cm. Distance Jake is from mirror = 100 cm.
What is 360 cm? (SF = 3)
If you are graphing and the image's coordinate points are:
(32x, 0.5y)
what will happen to the image on the graph?
What is "32 times wider and half as tall"?
Original (x, y) Image (12x, 11y)
What is no, not similar.
Different scale factors applied.
What is the perimeter to a rectangle with a width of 12 cm and a length of 8 cm?
What is 40 cm?
An original rectangle measures 9 in. x 14 in. An image measures 117 in. x 182 in.
What scale factor was applied? Write your answer as a percent.
182 ÷ 14 = 13
13 becomes 1300%
What is 1300%?
Solve using the shadow method:
Height of park bench = ? Shadow of park bench = 6 ft.
Height of tree = 54 ft. Shadow of tree = 108 ft.
What is 3 feet? (SF = 18)
If you are graphing and the image's coordinate points are:
(x + 2, 6y)
what will happen to the image on the graph?
What is "moves 2 units to the right, and 6 times taller"?
Compare a right triangle with a base of 7 cm and a height of 9 cm to another right triangle with a base of 42 and a height of 54 cm.
Consider drawing the figures.
What is yes, similar figures by a scale factor of 6.
How much greater is the perimeter of an image if the scale factor is 7?
What is 7 times greater?
A triangle's legs measure 224 cm. and 280 cm. An image is created and it's legs measure 32 cm. and 40 cm.
What scale factor was applied to create the image? Write your answer as a percent.
40 ÷ 280 = 0.14
0.14 becomes 14%
What is 14%?
Use the shadow method:
Height of tree = ? Length of tree's shadow = 102 ft.
Height of Eric = 4.5 ft. Length of Eric's shadow = 6 ft.
What is 76.5 ft? (SF = 17)
If you are graphing and the image's coordinate points are:
(x - 55, y - 30)
what will happen to the image on the graph?
What is "moves 55 units left and moves 30 units down"?
A rectangle with a length of 16 in. and a width of 18 in. compared to a rectangle with a length of 128 in. and a width of 162 in.
Consider drawing the figures.
What is no, not similar.
Different scale factor applied. Using x8 and x9.
What is the perimeter of a triangle with a base of 18 cm, a height of 21 cm, and a slanted side of 27?
What is 66 cm?
What scale factor was used on a rectangle with a width of 85 in. and a length of 105 in., if the image has a width of 17 in. and a length of 21 in.?
21 ÷ 105 = 0.2
0.2 = 0.20
0.20 becomes 20%
What is 20%?
Use the shadow method:
Height of wall = ? Distance wall is from mirror = 66 in.
Height of deer = 58 in. Distance deer is from mirror = 12 in.
What is 319 in. tall? (SF of 5.5)
If you are graphing and the image's coordinate points are:
(65x, y - 18)
what will happen to the image on the graph?
What is "65 times wider and moves 18 units down"?
A triangle with a base of 90 m. and a height of 120 m compared to a triangle with a base of 6 m. and a height of 15 m.
Consider drawing the figures.
What is no, not similar.
Using x15 and x8.
How much smaller is the perimeter of a figure if the scale factor is 50%?
What is half the size?