Triangle Congruence

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Congruence Postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

The ASA Congruence Postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

The AAS Congruence Theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL (Hypotenuse-Leg) Congruence Theorem?

Back

The HL Congruence Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If ∆ABC ≅ ∆DEF, what can we conclude about their corresponding angles?

Back

If ∆ABC ≅ ∆DEF, then ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F.

Tags

CCSS.HSG.CO.B.7

Front

If two triangles are congruent, what can we say about their areas?

Back

If two triangles are congruent, their areas are equal.

Tags

CCSS.8.G.A.2

Front

Can triangle congruence be applied in real-world situations?

Back

Yes, triangle congruence can be used in real-world situations such as architecture, engineering, and design.

Tags

CCSS.8.G.A.2

Front

What is the SSA (Side-Side-Angle) condition? Is it a valid method for proving triangle congruence?

Back

The SSA condition does not guarantee triangle congruence; it can lead to ambiguous cases.

Tags

CCSS.7.G.A.2