Exploring Dilations and Exponents in Math 8

What is the process of enlarging or shrinking shapes and points called?

• Translation

• Rotation

• Reflection

• Dilation

If the center of dilation is the origin and the scale factor is 1/5, what are the new coordinates of the point (-5, 5)?

• (-25, 25)

• (-1, 5)

• (-5, 1)

• (-1, 1)

How do you determine the scale factor of a dilation?

• By adding the lengths of the sides

• By dividing the length of a side in the image by the length of the corresponding side in the original

• By multiplying the lengths of the sides

• By subtracting the lengths of the sides

What is the scale factor if the length of a side in the image is 6 and the length of the corresponding side in the original is 3?

• 1/2

• 2

• 1/3

• 3

What is the result of 2 to the power of 3?

• 6

• 8

• 9

• 12

What is the result of (-2) to the power of 3?

• 8

• -6

• 6

• -8

What is the equivalent expression for x to the power of -m?

• 1/x^(-m)

• x^(-m)

• x^m

• 1/x^m

What is the result of (2/3)^2?

• 3/2

• 9/4

• 2/9

• 4/9

What does a fraction exponent mean in terms of operations?

• Multiplication

• Division

• Addition

• Subtraction

What is the result of 5^8 / 4^4?

• 5^4

• 5^2

• 5^8 / 4^4

• 4^4 / 5^8