Triangle Congruence: SAS

Question 1

What additional information would be needed to prove that the triangles are congruent using the ASA congruence theorem?

Revolt · Accepted Answer

∠LNO ≅ ∠LNM

Question 2

We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because . We see that is congruent to by the reflexive property of congruence. Therefore, we can conclude that triangle BCA is congruent to triangle BFA because .

Revolt · Accepted Answer

side BA

Question 3

We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because . We see that is congruent to by the reflexive property of congruence. Therefore, we can conclude that triangle BCA is congruent to triangle BFA because .

Revolt · Accepted Answer

of ASA

Question 4

Is there a rigid transformation that would map ΔABC to ΔDEC?

Revolt · Accepted Answer

yes, a rotation about point C

Question 5

What additional information could be used to prove ΔEFG ΔE'F'G' using AAS? Check all that apply.

Revolt · Accepted Answer

EG = 12 and E'G' = 12; FG = 15 and F'G' = 15; EG ≅ E'G'

Question 6

We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because . We see that is congruent to by the reflexive property of congruence. Therefore, we can conclude that triangle BCA is congruent to triangle BFA because .

Revolt · Accepted Answer

it is given

Question 7

We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because . We see that is congruent to by the reflexive property of congruence. Therefore, we can conclude that triangle BCA is congruent to triangle BFA because .

Revolt · Accepted Answer

side BA

Triangle Congruence: SAS Answers

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