Triangle Congruency

Front

What is Triangle Congruency?

Back

Triangle congruency 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 SAS stand for in triangle congruency?

Back

SAS stands for Side-Angle-Side, 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 SSS stand for in triangle congruency?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruency?

Back

ASA stands for Angle-Side-Angle, 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 congruency?

Back

AAS stands for Angle-Angle-Side, a theorem 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 congruency?

Back

HL stands for Hypotenuse-Leg, a theorem that states 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

What is the significance of the SSA condition in triangle congruency?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruency because it can lead to ambiguous cases where two different triangles can be formed.

Tags

CCSS.8.G.A.2

Front

How do you write a congruence statement for triangles?

Back

A congruence statement lists the triangles in order of their corresponding vertices, e.g., if ΔABC ≅ ΔDEF, then A corresponds to D, B to E, and C to F.

Tags

CCSS.HSG.CO.B.7

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, with corresponding angles equal and sides in proportion.

Tags

CCSS.8.G.A.2

Front

What is the purpose of using triangle congruency theorems?

Back

Triangle congruency theorems are used to prove that two triangles are congruent, which helps in solving geometric problems and establishing relationships between different geometric figures.

Tags

CCSS.HSG.SRT.B.5