3.5C HW - Triangle Congruence - Missing Information

Front

What does the acronym SSS stand for in triangle congruence?

Back

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

Front

What does the acronym SAS stand for in triangle congruence?

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

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

Front

What is the definition of congruent triangles?

Back

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

Front

If two triangles have two pairs of equal sides and the included angle is also equal, what postulate can be used to prove they are congruent?

Back

The SAS (Side-Angle-Side) postulate can be used to prove the triangles are congruent.

Front

What additional information is needed to prove triangles are congruent by SAS?

Back

You need to know that the included angle between the two sides is equal.

Front

If two triangles have three pairs of equal sides, what postulate can be used to prove they are congruent?

Back

The SSS (Side-Side-Side) postulate can be used to prove the triangles are congruent.

Front

What is the significance of the congruence statement OEG?

Back

The congruence statement OEG indicates that triangle OEG is congruent to another triangle, which can be determined by the order of the vertices.

Front

What is the missing information to determine if triangles are congruent by SAS?

Back

You need to know the measure of the angles that are not included between the two sides.