Congruent Triangle Proofs

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does the SAS congruence criterion state?

Back

The SAS (Side-Angle-Side) congruence criterion 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 the ASA congruence criterion state?

Back

The ASA (Angle-Side-Angle) congruence criterion 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 does the AAS congruence criterion state?

Back

The AAS (Angle-Angle-Side) congruence criterion states that 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 does the SSS congruence criterion state?

Back

The SSS (Side-Side-Side) congruence criterion states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the Reflexive Property in geometry?

Back

Front

What is the Midpoint Theorem?

Back

The Midpoint Theorem states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Front

What are Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is the significance of the SSA criterion?

Back

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

Front

What is the definition of an Angle Bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.