Proportional Scale Factor Area Perimeter

If the scale factor is 5, how times larger will the area of the big square be compared to the smaller square?

• 5

• 20

• 25

The perimeter of the larger square is 2 times larger than the smaller square.

• True

• False

The area of the larger square is __________ times larger than the area of the smaller square.

• 1/2

• 1

• 2

• 4

A triangle ABC with sides AB = 8, BC = 16, and AC = 17 is dilated to form a triangle with side B'C' = 8. Which of the following statements about the sides of the image of triangle ABC?

• A'B' = 8

  and A'C' = 17

• A'B' = 0

  and A'C' = 9

• A'B' = 4

  and A'C' = 8.5

• Impossible to determine

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.

Both the side lengths and perimeter are 3 times larger in the bigger rectangle.

• True

• False

What is one way to determine how much the area would increase using a scale factor of 3?

• take the scale factor and square it to get 3x3=9

• add all of the sides together then multiply by 3

• multiply the area of the smaller rectangle by 3

How much did the angles increase in the scale copy?

• They are twice as large

• They are 4 times as large

• Angles do not change in scale copies

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

Find the ratio (blue to red) of the perimeter.

• 4/7

• 7/4

• 49/16

• 16/49