Congruent Triangles(SSS, SAS, ASA, AAS) Review

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

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, which states that 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

Define the SSS postulate.

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What is the significance of the 'included angle' in SAS?

Back

In the SAS postulate, the included angle is the angle formed between the two sides being compared. It is crucial because the congruence of the angle ensures the triangles are congruent.

Front

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

Back

Yes, if two angles of one triangle are congruent to two angles of another triangle, the triangles are congruent by the AAS or ASA postulate.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then all their corresponding sides and angles are also congruent.

Front

What does it mean if a triangle is not congruent?

Back

If a triangle is not congruent to another, it means that at least one pair of corresponding sides or angles is not equal.

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, you must show that all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side to be known, while AAS does not require the side between the two angles to be included.