Triangle Proofs

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 are the three main criteria for triangle congruence?

Back

Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA).

Front

What does the term 'rigid motion' refer to in geometry?

Back

A transformation that preserves distance and angle measures, such as translations, rotations, and reflections.

Front

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

Back

It establishes the initial conditions or assumptions that are accepted as true for the purpose of the proof.

Front

What are alternate interior angles?

Back

Angles that are on opposite sides of a transversal and inside the two lines it intersects.

Front

How do you determine if two triangles are congruent using the SSS criterion?

Back

If all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Front

What is the purpose of a proof in geometry?

Back

To provide a logical argument that demonstrates the truth of a geometric statement.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.

Front

What is the definition of a transversal in geometry?

Back

A line that intersects two or more lines at different points.

Front

What does the Angle-Angle (AA) criterion state?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.