Question

Knowing that ΔBIG ≅ ΔFNS, an angle pair that is NOT necessarily congruent is:

Knowing that ΔDAL ≅ ΔEKS, a side pair that is NOT necessarily congruent is:

Answer 1

solutions:

1) G ≅ F

2) DA ≅  ES

Explanation:

Q)1

ΔBIG ≅ ΔFNS

pairs that are congruent:

• B ≅ F

• I ≅ N

• G ≅ S

From the list given,

→ G ≅ F is not necessarily congruent.

Q)2

ΔDAL ≅ ΔEKS

pairs that are congruent:

• DA ≅  EK

• AL ≅  KS

• DL ≅  ES

From the list given,

DA ≅  ES  is not necessarily congruent.

Answer 2

Usually the congruence is done according to naming

So

• ∆BIG≅∆FNS

<B=F

<I=<N

<G=<S

• Option A

#2

Check the naming

• ∆DAL≅∆EKS

So

DA=EK

• And DA may not be equal to ES

So option D