Scale Percentage/Copier Size Factor
A square's side length measure 4 inches. An image is created having side lengths of 16 inches. What scale factor was applied?
What is 4.
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)
Describe how the following rule will change the figure. (5x, 8y)
What is 5 times wider (stretched horizontally) and 8 times taller (stretched vertically)
Using the rule below, will the two figures be similar? Why or why not? Original (x, y) Image (5x, 5y)
What is yes, similar. The same SF was applied to both the x and y values. The figure was stretched horizontally and vertically by the same SF.
How many times greater is the perimeter of a figure if the scale factor is 2?
What is 2 times greater.
What copier percentage was used to create an image that is three times larger?
What is 300%
Describe how the following rule will change the figure. (32x, 0.5y)
What is 32 time wider (stretched horizontally) and 0.5 as tall (shrunk vertically)
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. A different SF was applied to the x and y values. The figure was stretched by a greater amount vertically than horizontally.
How many times greater is the area of a figure if the scale factor is 5?
What is 25 times larger.
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.
Describe how the following rule will change the figure. (27x + 2, 6y)
What is 27 times wider (stretched horizontally) and moves 2 units to the right, and 6 times taller (stretched vertically).
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. The same SF of 6 was applied to both the x and y values. The figure was stretched horizontally and vertically by the same SF.
How many times 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?
What is 1/7.
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)
Describe how the following rule will change the figure. (x - 55, y - 30)
What is it moves 55 units left and moves 30 units down.
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. A different SF was applied to the x and y values (8x, 9y). The figure was stretched by a greater amount vertically than horizontally.
How many times greater is the area of a figure if the scale factor is 3?
What is 9 times larger
What copier percentage 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)
Describe how the following rule will change the figure. (65x, 0.3y)
What is 65 times wider (stretched horizontally)and 0.3x taller (stretched vertically)
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.A different SF was applied to the x and y values
1/15x, 1/8y
The figure was shrunk by a greater amount horizontally than vertically.
How many times greater/smaller is the area of a figure if the scale factor is
1/6
?
What is
(1/6)^2 = 1/36
times the original. (Shrinks)