SSS, SAS, ASA, AAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate stating that if three sides of one triangle are equal to three sides of another triangle, 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, a postulate stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, 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, a postulate stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, 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, a theorem stating that if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Which postulate cannot be used to prove triangles congruent?

Back

SSA (Side-Side-Angle) cannot be used to prove triangles congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two equal angles, what can be said about their sides?

Back

The sides opposite the equal angles are proportional, but the triangles may not be congruent.

Tags

CCSS.HSG.CO.B.7

Front

What is the congruence statement for triangles ABC and DEF if AB = DE, AC = DF, and angle A = angle D?

Back

The congruence statement is ABC ≅ DEF by SAS.

Tags

CCSS.HSG.SRT.B.5

Front

If triangle XYZ is congruent to triangle PQR, what can be inferred about their corresponding angles?

Back

The corresponding angles are equal: angle X = angle P, angle Y = angle Q, angle Z = angle R.

Tags

CCSS.HSG.CO.B.7

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only two sides are known?

Back

Not necessarily; additional information about angles or the third side is needed to confirm congruence.

Tags

CCSS.8.G.A.2