526 views
5 votes
Which statement about ABC and DEF is true?

O They are not similar because FD is 8 more than CA, while DE is 5 more than AB.
O They are not similar because corresponding sides are not proportional.
O They are similar because DE is twice as long as AB, and EF is twice as long as BC.
They are congruent.

Which statement about ABC and DEF is true? O They are not similar because FD is 8 more-example-1
User Danrex
by
8.3k points

1 Answer

2 votes

The true statement about ABC and DEF is They are similar because DE is twice as long as AB, and EF is twice as long as BC. option C.

Which statement about ABC and DEF is true?

They are not similar because FD is 8 more than CA, while DE is 5 more than AB.

FD - CA = 14 - 6 = 8

DE - AB = 10 - 5 = 5

False

O They are not similar because corresponding sides are not proportional.

False

O They are similar because DE is twice as long as AB, and EF is twice as long as BC.

DE = 2AB and EF = 2BC

DE = 2×5 and EF = 2×8

DE = 10 and EF = 16

True

O They are congruent.

False

Therefore,

Congruent shapes are shapes that are exactly the same, that is, the corresponding sides and angles are the same.

Similar shapes are enlargements of each other using a scale factor, that is, corresponding lengths are in the same ratio.

User Jsv
by
8.3k points