G-3.9 L3 FLASHCARD L3 aas asa

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 theorem 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, then the triangles are congruent.

Front

What is the SSS postulate?

Back

SSS stands for Side-Side-Side, a postulate that states 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 SAS postulate?

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

If triangle ABC is congruent to triangle DEF, what can we say about their corresponding angles and sides?

Back

The corresponding angles and sides of triangle ABC and triangle DEF are equal.

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 two angles and the included side of the other triangle.

Front

What is the significance of congruence statements in geometry?

Back

Congruence statements indicate that two geometric figures are identical in shape and size, allowing for the transfer of properties from one figure to another.

Front

If

Back

If

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be equal, while AAS allows for a non-included side to be equal.

Front

Can two triangles be congruent if only one angle and one side are known?

Back

No, at least two angles and the included side (ASA) or two angles and a non-included side (AAS) are needed to prove congruence.