Dilations and Congruence

Which is an example of the algebraic rule for a DILATION?

• (3x, 3y)

• (x+3, y-2)

• (-x, -y)

• (y, -x)

A square has sides of 6 inches and is dilated to form a square that has sides of 24. What is the scale factor?

• 1/4 because 6/24 = 1/4

• 4 because 24/6 = 4

• 30 because 24 + 6 = 30

• No way to know with this information.

Which of the following could be a dilation?

• (6x, 6y)

• (x + 1, y - 5)

• (x, -y)

• (-x, -y)

How do you find the scale factor when given a dilation?

• SF = new/original

• SF = new + original

• SF = original/new

• SF = new - original

Which scale factor would preserve congruence in a dilation?

• 0

• 1

• 4

• 0.5

Which transformation does NOT preserve congruence?

• transformation

• reflection

• rotation

• dilation

A rectangle has an area of 30 cm². The rectangle is dilated with a scale factor of 3. What is the area of the new rectangle?

• 30 cm²

• 90 cm²

• 270 cm²

• impossible to know

Which of the following does NOT preserve congruence?

• Dilations

• Translations

• Reflections

• Rotations

Which transformation does not preserve congruence?

• translation

• rotation

• reflection

• dilation

Identify which transformations do and do not preserve distance.

d

c

b

a

3 Does

1 Does

4 Does not

2 Does