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3 years ago

2. Determine if the two quadrilaterals are similar, if they are, state the scale factor.

Mathematics

1 answer:

rusak2 [61]3 years ago

7 0

Answer:

Yes, they are similar. The scale factor is 5/3

Step-by-step explanation:

The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK

The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR

If the two quadrilaterals are similar, the following proportion must be satisfied:

JM = k*QP

ML = k*PS

KJ = k*RQ

LK = k*SR

where k is the scale factor. Solving for k and replacing with lengths:

k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3

From the figure, we can also see that:

∠M ≅ ∠P

∠L ≅ ∠S

∠R ≅ ∠K

∠Q ≅ ∠J

Therefore, the two quadrilaterals are similar.

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2 years ago

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Answer:

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3 years ago

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Nutka1998 [239]

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2 years ago

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Is this right??? I give Brainliest !

ratelena [41]

Answer:

It is right

Step-by-step explanation:

good job whatever your name is! you are very smart

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2 years ago