Similarity & Scale Factor

Two objects that are the same shape but not the same size are _______.

• Congruent

• Veritcal

• Similar

• Complementary

Two shapes that are congruent are also similar

• True

• False

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

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

• Yes, same shape

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

• No, different sizes

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

What is the scale factor from ABCD to MNOP?

• 2/3

• 2/3

• 2

• 3

What is the measurement of x?

• 4 m

• 16 m

• 20 m

• 24 m

The pair of figures is similar. Find the missing side.

• x = 7

• x = 9

• x = 28

• x = 63

If the scale factor is less than one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

A map has a scale of 1 cm=5km. On the map, two cities are 3 cm apart. What is the actual distance between these cities?

• 1.7 km

• 5 km

• 15 km

• 17 km

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

• 6 cm

• 486 cm

• 9 cm

• 54 cm