Congruent Triangles

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate stating that 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 ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate stating that 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

AAS stands for Angle-Angle-Side, a postulate stating 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, the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle or two angles and a side must be equal.

Front

What is the importance of the included angle in SAS?

Back

In SAS, the included angle is crucial because it ensures that the two triangles are not only the same size but also the same shape.

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, measure all three sides of both triangles and show that they are equal.

Front

What is the difference between ASA and AAS?

Back

The difference is that 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

What is a common misconception about triangle congruence?

Back

A common misconception is that triangles can be congruent if only two sides are equal; however, the angles must also be considered.