Identifying Triangle Congruence

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that states if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

If ΔDEF ≅ ΔRST, what can we conclude about ∠D and ∠R?

Back

∠D ≅ ∠R, as corresponding angles of congruent triangles are congruent.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means all corresponding sides and angles are equal, allowing for various applications in proofs and constructions.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are identical in size and shape, while similarity means the triangles have the same shape but may differ in size.

Front

What is the criteria for two triangles to be congruent by the SSS postulate?

Back

Two triangles are congruent by the SSS postulate if all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the criteria for two triangles to be congruent by the ASA postulate?

Back

Two triangles are congruent by the ASA postulate if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.