Triangle Congruence: ASA & AAS Methods

What are the two methods introduced for proving triangle congruence?

• Side-Side-Side (SSS) and Angle-Angle-Side (AAS)

• Side-Angle-Side (SAS) and Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA) and Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA) and Side-Side-Side (SSS)

In the ASA Postulate, what must be congruent between two triangles?

• Two angles and the included side

• Two sides and an included angle

• Two angles and a non-included side

• Three sides

Which triangles are congruent to triangle ABC using the ASA Postulate?

• Triangle DEF

• Triangle JKL

• Triangle GHI

• Triangle DEF and Triangle GHI

Why can't triangle GHI be concluded as congruent to triangle ABC or DEF using the ASA Postulate?

• Because segment GH is not congruent to segment DE

• Because angle G is not congruent to angle A

• Because segment HI is not the included side

• Because segment HI is not congruent to segment AB

What theorem states that all right angles are congruent?

• Vertical Angle Theorem

• Reflexive Property

• Angle Bisector Theorem

• Right Angle Congruence Theorem

What property is used to state that a side is congruent to itself in a proof?

• Angle Bisector Theorem

• Right Angle Congruence Theorem

• Reflexive Property

• Vertical Angle Theorem

What is the abbreviation for the Angle-Angle-Side Theorem?

• SSS

• SAS

• AAS

• ASA

In the AAS Theorem, what must be congruent between two triangles?

• Three sides

• Two angles and the included side

• Two sides and an included angle

• Two angles and a non-included side

What property allows us to say that a side is congruent to itself?

• Vertical Angle Theorem

• Reflexive Property

• Angle Bisector Theorem

• Right Angle Congruence Theorem

What additional information is needed to use the AAS Theorem to prove triangle SRP is congruent to triangle QRP?

• One pair of angles congruent

• One pair of sides congruent

• One pair of vertical angles

• One pair of right angles