Triangle Congruence: ASA and AAS

Question 1

Is there a rigid transformation that maps triangle ABC to triangle ABD? If so, which transformation?

Revolt · Accepted Answer

yes, because a reflection across BA will map ΔABC to ΔABD

Question 2

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

Revolt · Accepted Answer

∠LNO ≅ ∠LNM

Question 3

yes, a reflection across side AC✔ yes, a rotation about point Cyes, a vertical translationX no, triangles are not congruent

Revolt · Accepted Answer

✔ yes, a rotation about point C

Question 4

Complete the missing parts of the paragraph proof.

Revolt · Accepted Answer

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: it is given; 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: side BA; 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: of ASA

Triangle Congruence: ASA and AAS Answers

More from this Course

TRY EDGENUITY HACKS