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 translationno, 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

Question 5

What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.∠Z ≅ ∠G and XZ ≅ FG∠Z ≅ ∠G and ∠Y ≅ ∠EXZ ≅ FG and ZY ≅ GEXY ≅ EF and ZY ≅ FG∠Z ≅ ∠G and XY ≅ FE

Revolt · Accepted Answer

∠Z ≅ ∠G and XZ ≅ FG; ∠Z ≅ ∠G and XY ≅ FE

Triangle Congruence: ASA and AAS Answers

More from this Course

TRY EDGENUITY HACKS