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Scale Factor / Copier Size Factor
Mirror/Shadow Method
Describing Rules
Similar Figures?
Area/Perimeter
100
A square's sidelengths measure 4 inches. An image is created having sidelengths of 16 inches. What scale factor was applied?
What is 4.
100
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)
100
Describe how the following rule will change the figure. (5x, 8y)
What is 5x wider and 8x taller.
100
Using the rule below, will the two figures be similar? Why or why not? Original (x, y) Image (5x, 5y)
What is yes, similar. (Same SF applied)
100
How many times greater is the perimeter of a figure if the scale factor is 2?
What is 2 times.
200
What copier size factor was used to create an image that is three times larger?
What is 300%
200
Use the mirror 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)
200
Describe how the following rule will change the figure. (32x, 0.5y)
What is 32x wider and 0.5x as tall.
200
Using the rule below, will the two figures be similar? Why or why not? Original (x, y) Image (12x, 11y)
What is no, not similar. (Different SF)
200
How many times greater is the area of a figure if the scale factor is 5?
What is 25 sq. cm.
300
An original rectangle measures 9 in. x 14 in. An image measures 117 in. x 182 in. What scale factor was applied?
What is 13.
300
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)
300
Describe how the following rule will change the figure. (27x + 2, 6y)
What is 27x wider, moves 2 units to the right, and 6x taller.
300
Using the scenario below, will the two figures be similar? Why or why not? 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.
What is yes, similar figures by a SF of 6.
300
How many times greater is the perimeter of an image if the scale factor is 7?
What is 7x greater.
400
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?
What is 1/7.
400
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.Use the mirror method:
What is 76.5 ft. (SF = 17)
400
Describe how the following rule will change the figure. (10x - 55, 78y - 30)
What is 10x wider, moves 55 units left, 78x taller, and moves 30 units down.
400
Using the scenario below, will the two figures be similar? Why or why not? 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.
What is no, not similar. [Different SF applied, (8x, 9y)]
400
How many times greater is the area of a figure if the scale factor is 3?
What is 9 sq. cm.
500
What copier size 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.?
What is 20%. (SF = 1/5)
500
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)
500
Describe how the following rule will change the figure. (65x + 48, 0.3y - 18)
What is 65x wider, moves 48 units to the right, 0.3x taller, and moves 18 units down.
500
Using the scenario below, will the two figures be similar? Why or why not? 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.
What is no, not similar. (1/15x, 1/8y)
500
How many times greater is the area of a figure if the scale factor is 1/6?
What is 1/36 x the original. (Shrinks)