202k views
3 votes
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

User Estephany
by
8.1k points

1 Answer

4 votes

Answer

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!!!

User Parallax Sugar
by
7.8k points

Related questions

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories