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Dilations
Scale Factor
Is it a Right Triangle
Solve for the missing leg/hyp.
Word Problems
100

A square has a side length of 7 cm. It is dilated by a scale factor of 2. What is the new side length?

What is 14 cm?

100

A figure is dilated so that the original side length of 4 cm becomes 12 cm. What is the scale factor?


What is 3?

100
A triangle with sides that are 6, 8, and 10
What is a right triangle
100
Find the hypotenuse, c, when a = 3 and b = 4
What is 5
100

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? *Write your answer in the context of the problem

What is 10 blocks

200

Original triangle has sides measuring 5 m, 12 m, and 13 m. After dilation by a scale factor of ⅓, what are the new side lengths?

What is 5/3 m, 4 m, and 13/3 m? (or approximately 1.67 m, 4 m, and 4.33 m)?

200

Original triangle has vertices at A(2, 3), B(4, 6), and C(6, 3). After dilation, the vertices are at A'(1, 1.5), B'(2, 3), and C'(3, 1.5). What is the scale factor?

What is ½ (or 0.5)?

200
A triangle with sides 7, 9, and 11
What is NOT a right triangle
200
Find a if b = 5 and c = 10?
What is 9
200
Find the height of a tree if there is a ladder leaning against it that is 10 feet tall and it is 5 feet away from the base of the tree. *Write your answer in the context of the problem
What is 8.7 feet
300

Point A is at (6, 8). It is dilated by a scale factor of ½ with the center of dilation at the origin. What are the coordinates of A'?

What is (3, 4)?

300

A rectangle with dimensions 20 inches × 12 inches is dilated to become 5 inches × 3 inches. What is the scale factor?

What is ¼ (or 0.25)?

300
Is 6-8-10 a Pythagorean Triple?
What is YES
300
Find the hypotenuse, c, when a = 8 and b = 15
What is 17
300
Joshua won a laptop in a school raffle. The laptop screen measures 10 inches in height and 24 inches in width. Find the diagonal length of the laptop screen. *Write your answer in the context of the problem
What is 26 inches
400

A pentagon with vertices at P(2, 2), Q(4, 3), R(5, 1), S(4, -1), and T(2, 0) is dilated by a scale factor of 3 with the center of dilation at the origin. What are the coordinates of P' and R'?

What is P'(6, 6) and R'(15, 3)?

400

A circle has a radius of 8 meters. After dilation, the new radius is 20 meters. What is the scale factor?

What is 2.5 (or 5/2)?

400
A triangle with sides 15, 36, and 39
What is a right triangle
400
Find the hypotenuse, c, when a = 15 and b = 20
What is 25
400
A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall. *Write your answer in the context of the problem
What is 5 meters
500

Original rectangle has dimensions 18 cm × 12 cm. After dilation by a scale factor of 2/3, what are the new dimensions? (Give both measurements.)

What is 12 cm × 8 cm?

500

Original point P(3, 5) is dilated to P'(12, 20). Another point Q(6, 9) is dilated to Q'(24, 36). What is the scale factor?

What is 4?

500
A triangle with sides 1.5, 2.5, and 4.0
What is NOT a right triangle
500
If the hypotenuse is twice "a" and "a" is 7 what is b
What is 12
500
Rachel bought a rug for her apartment. The rug is 11 feet long and 9 feet wide. Find the diagonal length of the rug. *Write your answer in the context of the problem
What is 14.2 feet