Question

Triangle A has a height of 2.5 cm and a base of 1.6 cm. The height and base of triangle B are proportional to the height and base of triangle A. Which of the following could be the height and base of triangle B?

Choose 3 Answers:
A. Height:2.75 Base:1.76
B. Height:9.25 Base:9.16
C. Height:3.2   Base:5
D. Height:1.25 Base:0.8
E. Height:2      Base:1.28

Answer 1

A, D, E

Explanation:

The ratio height : base is ...

... 2.5 : 1.6

... = 25 : 16

... = 1.5625 : 1

You can eliminate the bogus answers B and C because ...

... B: the numbers are too close together. The larger would need to be near 13 for the smaller one to be 9.

... C: the base is larger than the height, so the ratio is less than 1, not greater than 1.

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Comments on other answers

A: the scale factor is 1.1

D. the scale factor is 0.5

E. the scale factor is 0.8