Question

Explain why the two figures below are not similar. Use complete sentences and provide evidence to support your explanation. (10 points)

Figure ABCDEFG is shown. A is at negative 3, negative 2. B is at negative 3, 0. C is at negative 1, 1. D is at 3, 1. E is at 3,

Answer 1

Answer/Step-by-step explanation:

Two figures can only be similar if their corresponding lengths are proportional to each other, that is the ratio of their corresponding sides are equal.

AB corresponds to HI.

AB = 2 units, HI = 1 units.

AB : HI = 2/1 = 2

The ratio of all the sides of ABCDEFG are equal to the corresponding sides of HIJKLMN, which is 2, EXCEPT for side FG which corresponds to MN.

FG = 1 units

MN = 1 units.

FG : MN = 1/1 = 1

This ratio is different from what we have for the ratio of the other corresponding sides of both figures.

Therefore, the figures are not similar.