Similar Figures and Transformations

Are these two figures similar?

• yes

• no

Answer explanation

The two figures are not similar because they do not have the same shape or proportional dimensions. Similar figures must have corresponding angles equal and sides in proportion, which is not the case here.

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Triangle ABC was transformed to create triangle A′B′C′. Which rule best describes this transformation?

• (x,y)→(x,y−7)

• (x, y) → (x, −y)

• (x,y)→(x−7,y)

• (x, y) → (−x, y)

A dilation ________

• Is a transformation that slides the figure up, down, left, or right.

• Is a transformations that flips the figure over a given axis.

• Is a transformation that turns or spins the figure.

• Is a transformation that enlarges or reduces the figure. It creates similar shapes.

Which proportion could be used to find side 'x'?

• 
• 
• 
• 

What operation is used to write the rule for a dilation?

• Addition

• Subtraction

• Multiplication

• Division

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

• The perimeter and area are both multiplied by 4.

• The perimeter is multiplied by 4 and the area is multiplied by 16.

• The perimeter and area are both divided by 4.

• The perimeter is multiplied by 16 and the area is multiplied by 4.

A rectangle has an area of 48 cm². It is dilated by a scale factor of 2. What would be the area of the new rectangle (the image)?

• 96 cm²

• 192 cm²

• 216 cm²

• 2304 cm²

Dilations are ________ but not congruent.

• Similar

• Flipped

• Rotated

• Congruent

How does reflecting a figure over the y-axis change the ordered pair?

• Changes the x-coordinate

• Changes the y-coordinate