Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are considered 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 does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side' and is a postulate that states 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' and is a postulate that states 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' and is a postulate that states 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 does AAS stand for in triangle congruence?

Back

AAS stands for 'Angle-Angle-Side' and is a postulate that states 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 does HL stand for in triangle congruence?

Back

HL stands for 'Hypotenuse-Leg' and is a postulate that applies specifically to right triangles, stating that if the hypotenuse and one leg of one 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

Can two triangles be congruent if they only have two sides equal?

Back

No, two triangles cannot be proven congruent with only two sides equal unless the included angle is also known (SAS) or the third side is also equal (SSS).

Tags

CCSS.8.G.A.2

Front

What is the significance of the AAA condition in triangle congruence?

Back

AAA stands for 'Angle-Angle-Angle' and while it shows that two triangles have the same shape, it does not prove congruence because it does not guarantee that the triangles are the same size.

Tags

CCSS.8.G.A.2

Front

If two triangles are not congruent, what can be said about their corresponding sides and angles?

Back

If two triangles are not congruent, at least one pair of corresponding sides or angles must be different.

Tags

CCSS.8.G.A.2

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

In congruent triangles, all corresponding parts (sides and angles) are equal.

Tags

CCSS.8.G.A.2