Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does ASA stand for in triangle congruence?

Back

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, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; 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, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

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, the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

Which postulate is not valid for proving triangle congruence?

Back

AAA (Angle-Angle-Angle); it only shows that triangles are similar, not necessarily congruent.

Front

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

Back

Not necessarily; you need to know the included angle (SAS) or the third side (SSS) to prove congruence.

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.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are similar, but not necessarily congruent unless the sides are also proportional.

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.