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Figure KLMN and figure PQRS, shown below, are similar figures.

If KN = 6 cm, MN = 14 cm, RS = 28 cm, and PS = 12 cm,
what is the scale factor of figure KLMN to figure PQRS?
A.3 B.1/2 C.2 D. 1/3

User Bafsky
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2 Answers

3 votes

Answer:

The answer is 1/2

Explanation:

2 votes

Answer:

The answer is 2

Explanation:

Since figure KLMN is a scaled version of figure PQRS, their corresponding sides are proportional. Sides KN and MN correspond to sides PS and RS, respectively.

KN = 6 cm PS = 12 cm

MN = 14 cm RS = 28 cm

Notice that the lengths of sides KN and MN can be multiplied by 2 to get the length of sides PS and RS, respectively.

Therefore, the scale factor of figure KLMN to figure PQRS is 2.

User Brian Kiernan
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3.2k points