Proving Triangles are Congruent

In Δ𝐴𝐵𝐶, identify the included side between ∠A and ∠B?

• line segment AB

• line segment AC

• line segment BC

• line segment CA

In ΔDEF, identify the included angle between line segment DE and line segment EF?

• ∠ D

• ∠ E

• ∠ F

• none of the above

Given Δ TOY ≅ Δ CAP, what side corresponds line segment OT?

• line segment OP

• line segment PC

• line segment AC

• line segment OY

From the information stated below, what statement can be concluded?

line segment OP ≅ line segment OS ;

line segment OG ≅ line segment OR ;

line segment GP ≅ line segment SR ;

∠ P ≅ ∠ S ;

∠ O ≅ ∠ O ; and

∠ G ≅ ∠ R

• Δ POG ≅ Δ SOR

• Δ OGP ≅ Δ SOR

• Δ GOP ≅ Δ SRO

• Δ OPG ≅ Δ ORS

If Δ CAT ≅ Δ DOG, then Δ ACT is congruent to _____________.

• Δ ODG

• Δ GOD

• Δ OGD

• Δ DOG

In the given figure, if corresponding congruent parts are marked, then how can you prove Δ 𝐺𝑂𝐴 ≅ Δ 𝐺𝑇𝐴 ?

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

• AAS Congruence Theorem

To be able to apply SSS Congruence Postulate, what additional information is needed in the following pairs of triangles?

• ∠ B ≅ ∠ E

• ∠ C ≅ ∠ F

• line segment AC ≅ line segment DF

• line segment AC ≅ line segment EF

Which of the following cannot be used in proving triangle congruence?

• SSS ≅ SSS

• AAA ≅ AAA

• SAS ≅ SAS

• HyL ≅ HyL

Two triangles are congruent if they have 2 angles and the included side of one triangle is congruent to the corresponding parts of the other triangle?

• True

• False

• Maybe

• Sometimes

Andrew knows that line segment AB ≅ line segment DE and line segment AC ≅ line segment DF. What other information must he know to prove Δ𝐴𝐵𝐶 ≅ Δ𝐷𝐸𝐹 by SAS Congruence Postulate?

• ∠ B ≅ ∠ E

• ∠ C ≅ ∠ F

• ∠ A ≅ ∠ D

• ∠ A ≅ ∠ E