Congruent Triangles

Front

What does SSS stand for in triangle congruence?

Back

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

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 equal 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 equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid postulate for proving triangle congruence.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

If ∆EHG≅∆KFC, what can we say about EH and FK?

Back

EH≅FK, meaning the sides EH and FK are equal in length.

Front

If ∆PRQ≅∆SRT is FALSE, what does that imply?

Back

It implies that the triangles PRQ and SRT are not congruent, meaning their corresponding sides and angles are not equal.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important because it helps in proving properties of shapes, solving problems, and understanding the relationships between different geometric figures.

Front

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

Back

No, knowing only two sides (SSA) does not guarantee congruence; additional information is needed.