Triangle Congruence: ASA and AAS

Question 1

Can you conclude that triangle GHF is congruent to triangle GJK? Explain.

Revolt · Accepted Answer

not enough information given

Question 2

Are the triangles congruent? If so, how do you know?

Revolt · Accepted Answer

yes, because of ASA or AAS

Question 3

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 LNO is congruent to triangle LNM.

Revolt · Accepted Answer

Selection 1: LNM; Selection 2: MLN; Selection 3: reflexive property; Selection 4: ASA

Question 4

Isabelle proves that the triangles are congruent by using the parallel lines to determine a second set of angles are congruent. What statement and reason could she have used?

Revolt · Accepted Answer

∠ABC ≅ ∠DCB; alternate interior angles of parallel lines are congruent

Question 5

Determine the rigid transformations that will map ΔABC to ΔXYZ.

Revolt · Accepted Answer

Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.

Triangle Congruence: ASA and AAS Answers

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