Triangle Congruence: ASA and AAS

What additional information could be used to prove that the triangles are congruent using AAS or ASA? Check all that apply.

<B ~= <P and BC ~= PQ <A ~= <T and AC = TQ = 3.2cm <A ~= <T and BC ~= PQ

Which of these triangle pairs can be mapped to each other using two reflections?

A.

Which shows two triangles that are congruent by AAS?

A.

Given: <ABC and <FGH are right angles; BA || GF ; BC ~= GH Prove: ABC ~= FGH (Step 4): ABC ~= FGH because of the

AAS congruence theorem

Which of these triangle pairs can be mapped to each other using a reflection and a translation?

B.

Which shows two triangles that are congruent by ASA?

B.

What additional information could be used to prove that the triangles are congruent using AAS? Check all that apply.

CB ~= QM AC = 3.9cm and RQ = 3.9cm

Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

D.

Are the triangles congruent? Why or why not?

b. Yes, they are congruent by either ASA or AAS.

Which rigid transformation would map MZK to QZK

c. a reflection across the line containing ZK

Two rigid transformations are used to map JKL to MNQ. The first is a translation of vertex L to vertex Q. What is the second transformation?

c. a rotation about point L

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

d. <L ~= <P

Given: <TSR and <QRS are right angles; <T ~= <Q Prove: TSR ~= QRS Step 4: TSR ~= QRS because

of the AAS congruence theorem