Proving congruent triangles - REVIEW

Front

What does it mean for two triangles to be congruent?

Back

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

Front

What is the ASA (Angle-Side-Angle) congruence postulate?

Back

The ASA postulate states that 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 is the AAS (Angle-Angle-Side) congruence theorem?

Back

The AAS theorem states that 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, then the triangles are congruent.

Front

What is the SAS (Side-Angle-Side) congruence postulate?

Back

The SAS postulate states that 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 is the SSS (Side-Side-Side) congruence postulate?

Back

The SSS postulate states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which helps in proving the triangles are congruent.

Front

How can you determine if two triangles are congruent using the ASA postulate?

Back

To determine if two triangles are congruent using the ASA postulate, check if two angles and the included side of one triangle are equal to the corresponding two angles and included side of the other triangle.

Front

What is the difference between ASA and AAS?

Back

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

Front

Can triangles be proven congruent if only one side is known?

Back

No, at least two sides and the included angle or two angles and a non-included side are needed to prove congruence.

Front

What does it mean if triangles cannot be proven congruent?

Back

If triangles cannot be proven congruent, it means there is insufficient information or the criteria for congruence are not met.