Scaled Copies Practice

What is the definition of similarity of shapes?

• Having different shapes.

• Having similar colors.

• Having the same size.

• Having the same shape

If two shapes are similar, what can we say about their corresponding angles?

• Their corresponding angles are perpendicular.

• Their corresponding angles are equal.

• Their corresponding angles are parallel.

• Their corresponding angles are not equal.

If two shapes are similar, what can we say about their corresponding sides?

• Their corresponding sides are equal.

• Their corresponding sides are congruent.

• Their corresponding sides are parallel.

• Their corresponding sides are proportional.

If two sides have a proportional relationship, what can we say about their ratio?

• The ratio between the two side changes randomly.

• The ratio between the two sides remains the same.

• The ratio between the two sides decreases.

• The ratio between the two sides increases.

Which figures are scaled copies of the original A?

• Figures 2 and 4

• Figures 1 and 3

• Figures 1 and 2

• Figures 3 and 4

Answer explanation

Figure 2 side lengths got 2 times bigger. The scale factor is 2.

Figure 4 side lengths got 1/2 the size. The scale factor is 1/2.

On a blueprint, the scale is 1 in = 10 ft.  If a wall is drawn as 3.3 inches on the blueprint, what is the actual length?

• 3 feet

• 3 inches

• 30 inches

• 33 feet

Answer explanation

1 inch x 3.3 = 3.3 inches

10 feet x 3.3 = 33 feet

What is the length of "Side X" if figure B is a scaled copy of figure A? 

• 4

• 5

• 3

• 2.5

Answer explanation

The scale factor is 2 because 2.5 x 2 = 5. This means all side lengths need to be multiplied by 2 because they are getting 2 times longer.

1.5 x 2 = 3

What is the measurement of "Angle X" if figure B is a scaled copy of figure A? 

Answer explanation

To create a scaled copy measurement angles remain the same. Think back to when we proved our answers with tracing corresponding angles and seeing the lines matched.

Which of the following is a scaled copy of figure A?

• B

• C

• D

Is Figure B a scaled copy of Figure A?

• Yes

• No