Triangle Congruence: ASA and AAS

Question 1

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

Question 2

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

Congruent, corresponding side lengths are needed.; The triangles need corresponding, congruent sides to be congruent.; Once congruent sides are known, the ASA or AAS congruence theorems or rigid transformations can be used to prove congruence.

Question 3

Question 107893

Revolt · Accepted Answer

It is given that angle LNO is congruent to angle and angle OLN is congruent to angle . We know that side LN is congruent to side LN because of the . Therefore, because of , we can state that triangle: LNM; It is given that angle LNO is congruent to angle and angle OLN is congruent to angle . We know that side LN is congruent to side LN because of the . Therefore, because of , we can state that triangle: MLN; It is given that angle LNO is congruent to angle and angle OLN is congruent to angle . We know that side LN is congruent to side LN because of the . Therefore, because of , we can state that triangle: reflexive property; It is given that angle LNO is congruent to angle and angle OLN is congruent to angle . We know that side LN is congruent to side LN because of the . Therefore, because of , we can state that triangle: ASA

Question 4

LNM LON LMN ✔ MLN

Revolt · Accepted Answer

✔ MLN

Question 5

substitution property ✔ reflexive propertyaddition property subtraction property

Revolt · Accepted Answer

✔ reflexive property

Question 6

vertical angles ✔ ASAAAA the reflexive property

Revolt · Accepted Answer

✔ ASA

Triangle Congruence: ASA and AAS Answers

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