Question

BC=6, EF=12

Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT
A: AA
B: SAS
C: SSS
D: NOT

Answer 1

Answer: SSS

I have done this assignment before

Answer 2

C: SSS

Explanation:

Two triangle are said to be similar if they have the same shape and proportion. This means that their angles are the same or their sides are in proportion. They are similar if:

i) All three corresponding angles are the same (AAA)

ii) All three corresponding sides are the same proportion (SSS)

iii) Two corresponding angles are equal and a side is in the same proportion (ASA)

iv) Two sides are in the same proportion and a corresponding angles are the same (SAS)

Given that:

AB = 12, BC = 6, AC = 3, DE = 24, EF = 12 and DF = 6

`(DE)/(AB) =(DF)/(AC) =(EF)/(BC)\\\\(24)/(12)=(6)/(3)=(12)/(6)=2`

Since All the sides are in the same proportion, it supports the SSS rule.