Polygon KLMN is similar to polygon PQRS. What is the length of QR?
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1 point
Captionless Image
16m
9m
8m
6m
Since polygons KLMN and PQRS are similar, their corresponding sides are proportional. Therefore, we can set up the following proportion:
KL/QR = LM/RS = MN/PS
Since QR is given in the answer choices, we can substitute its value in the proportion and solve for it.
Let's try each answer choice and see which one satisfies the proportion:
1) If QR = 16m, then KL/16 = LM/RS = MN/PS
2) If QR = 9m, then KL/9 = LM/RS = MN/PS
3) If QR = 8m, then KL/8 = LM/RS = MN/PS
4) If QR = 6m, then KL/6 = LM/RS = MN/PS
We can see that only option 2, QR = 9m, satisfies the proportion. Therefore, the length of QR is 9m.