Triangle Congruence

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are congruent if they have the same size and shape, which can be proven using various congruence criteria.

Front

List the three main criteria for triangle congruence.

Back

1. SSS (Side-Side-Side) Congruence 2. SAS (Side-Angle-Side) Congruence 3. ASA (Angle-Side-Angle) Congruence

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which 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 does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which 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 significance of the SSA condition in triangle congruence?

Back

The SSA condition (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases where two different triangles can be formed.

Front

If ∆ABC≅∆XYZ, what can be concluded about the corresponding sides?

Back

If ∆ABC≅∆XYZ, then AB≅XY, BC≅YZ, and AC≅XZ.

Front

What is the Angle-Angle-Angle (AAA) criterion in relation to triangle congruence?

Back

AAA states that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that triangles are identical in size and shape, while similarity means that triangles have the same shape but may differ in size.

Front

How can you determine if two triangles are congruent using a diagram?

Back

You can determine if two triangles are congruent by comparing their corresponding sides and angles using the congruence criteria (SSS, SAS, ASA).