Question

Triangle JKL has side lengths of 32 ft, 16 ft,and 24 ft. Which side lengths could belongto a dilation of triangle JKL?A 4 ft, 2 ft, 3 ftB 8 ft, 4 ft, 7 ft© 40 ft, 24 ft, 32 ft0 64 ft, 34 ft, 48 ft

Answer 1

Option A is correct.

Step-by-step explanation

The right answer will have the ratio of corresponding sides being constant all through.

32 ft, 16 ft and 24 ft.

Option A

4 ft, 2 ft, 3 ft

(32/4) = 8

(16/2) = 8

(24/3) = 8

Since 8 = 8 = 8, the side lengths in this option could belong to a dilation of the triangle JKL.

Option B

8ft, 4 ft, 7ft

(32/8) = 4

(16/4) = 4

(24/7) = 3.43

4 = 4 ≠ 3.43

The side lengths in this option cannot belong to a dilation of the triangle JKL.

Option C

40 ft, 24 ft, 32 ft.

(32/40) = (4/5)

(16/24) = (2/3)

(24/32) = (3/4)

(4/5) ≠ (2/3) ≠ (3/4)

The side lengths in this option cannot belong to a dilation of the triangle JKL.

Option D

64 ft, 34 ft, 48 ft

(32/64) = (1/2)

(16/34) = (8/17)

(24/48) = (1/2)

(1/2) ≠ (8/17) ≠ (1/2)

The side lengths in this option cannot belong to a dilation of the triangle JKL.

Hope this Helps!!!