Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side' postulate, which states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side' postulate, which 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 does ASA stand for in triangle congruence?

Back

ASA stands for 'Angle-Side-Angle' postulate, which 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 definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

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

Back

If two triangles are congruent, their corresponding angles are also equal.

Tags

CCSS.8.G.A.2

Front

If triangle ABC is congruent to triangle DEF, what can be inferred about the sides?

Back

If triangle ABC is congruent to triangle DEF, then AB = DE, BC = EF, and AC = DF.

Tags

CCSS.HSG.CO.B.7

Front

What is the significance of the order of letters in triangle congruence?

Back

The order of letters in triangle congruence indicates which angles and sides correspond to each other. For example, if triangle ABC is congruent to triangle DEF, then angle A corresponds to angle D, angle B to angle E, and angle C to angle F.

Tags

CCSS.HSG.CO.B.7

Front

What is the relationship between the angles of congruent triangles?

Back

The angles of congruent triangles are equal, meaning if triangle ABC is congruent to triangle DEF, then ∠A = ∠D, ∠B = ∠E, and ∠C = ∠F.

Tags

CCSS.HSG.CO.B.7

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle or two angles and the included side must be equal.

Tags

CCSS.8.G.A.2