4.3/4.4 Congruent Triangles

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 all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangle congruence where two angles and a non-included side are known.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangle congruence where two angles and the included side are known.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangle congruence where two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only one angle and one non-included side are known?

Back

No, this is known as SSA (Side-Side-Angle) and does not guarantee congruence.

Tags

CCSS.8.G.A.2

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

All corresponding angles in congruent triangles are equal.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of equal sides and the included angle is equal, what can be concluded?

Back

The triangles are congruent by the SAS criterion.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle; it is crucial for the SAS congruence criterion.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Tags

CCSS.8.G.A.2