Congruent Triangles Proof Practice

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 acronym AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent by showing two angles and a non-included side are equal.

Front

What does the acronym ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles are congruent by showing two angles and the included side are equal.

Front

What is the Reflexive Property in geometry?

Back

A property stating that any geometric figure is congruent to itself.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are always congruent; when two lines intersect, the opposite angles formed are equal.

Front

What is the definition of corresponding parts of congruent triangles?

Back

The sides and angles of one triangle that are equal to the sides and angles of another triangle.

Front

What is the significance of the statement 'HA=HA' in triangle proofs?

Back

It indicates that the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, supporting congruence.

Front

What is the purpose of a proof in geometry?

Back

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

Front

What does the term 'given' refer to in a geometric proof?

Back

Information that is provided as true and is used as a starting point for the proof.

Front

What is the definition of Alternate Interior Angles?

Back

Angles that are on opposite sides of a transversal and inside the two lines it intersects; they are congruent when the lines are parallel.