Review For Flashcard 5.3-5.7

Front

What is the definition of congruent triangles?

Back

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

Front

What does the SAS (Side-Angle-Side) theorem state?

Back

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 ASA (Angle-Side-Angle) theorem state?

Back

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 AAS (Angle-Angle-Side) theorem state?

Back

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 first statement in the reason column of a proof?

Back

Given.

Front

What additional information is required for two triangles to be congruent by SAS?

Back

The length of one side or the measure of the included angle.

Front

How do you denote congruence between two triangles?

Back

Using the symbol '≅', for example, triangle ABC ≅ triangle DEF.

Front

What is the definition of a proof in geometry?

Back

A logical argument that uses definitions, properties, and previously proven statements to show that a conclusion is true.

Front

What is the purpose of a congruence statement?

Back

To indicate which parts of two triangles are congruent to each other.

Front

What is the significance of the 'Given' statement in a proof?

Back

It provides the initial information or conditions that are accepted as true for the proof.