Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangles are congruent by showing two angles and the non-included side are equal.

Front

What is the ASA congruence criterion?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to the corresponding parts of another triangle, the triangles are congruent.

Front

What does SSS mean in the context of triangle congruence?

Back

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

Front

What is the AA similarity criterion?

Back

AA stands for Angle-Angle, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does it mean if triangles cannot be proven congruent or similar?

Back

It means there is insufficient information or evidence to establish a relationship between the triangles based on the given criteria.

Front

Back

The corresponding sides and angles of triangles PRS and CFH are equal.

Front

How can you find the value of a variable in congruent triangles?

Back

By using the properties of congruence, set corresponding sides or angles equal to each other and solve for the variable.

Front

What is the significance of the congruence symbol (≅)?

Back

The symbol (≅) indicates that two geometric figures are congruent, meaning they have the same shape and size.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.