Geo 5.2 AAS, SAS, SSS, ASA

Front

What does AAS stand for in triangle congruence theorems?

Back

AAS stands for Angle-Angle-Side, which is a theorem 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 two triangles are congruent.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, if triangle ABC is being compared to triangle A'B'C', then side AB is congruent to side A'B'.

Front

What is the significance of the SSS congruence theorem?

Back

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

Front

What does ASA stand for in triangle congruence theorems?

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 two triangles are congruent.

Front

Can two triangles be proven congruent with only one angle and one side?

Back

No, two triangles cannot be proven congruent with only one angle and one side. More information is needed, such as another angle or side.

Front

What is the SAS congruence theorem?

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 corresponding included angle of another triangle, then the two triangles are congruent.

Front

How can you determine if two triangles are congruent using the AAS theorem?

Back

To determine if two triangles are congruent using the AAS theorem, you need to show that two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle.

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 congruent, while AAS allows for a non-included side to be congruent.

Front

What is the importance of congruent segments in triangle congruence?

Back

Congruent segments are important because they help establish the congruence of triangles by showing that corresponding sides are equal in length.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, which can be shown through various congruence theorems.