Congruent Triangle Proofs

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

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 definition of Alternate Interior Angles?

Back

Alternate Interior Angles are pairs of angles that lie on opposite sides of a transversal and inside the two lines. If the lines are parallel, these angles are congruent.

Front

What is the Midpoint Theorem?

Back

The Midpoint Theorem states that if a point is the midpoint of a segment, then it divides the segment into two equal parts.

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

The SAS Congruence Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

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 is the Angle-Angle (AA) Similarity Postulate?

Back

The AA Similarity Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What is the definition of a Segment Bisector?

Back

A segment bisector is a point, ray, line, or plane that divides a segment into two equal parts.

Front

What is the definition of a Triangle?

Back

A triangle is a polygon with three edges and three vertices. The sum of the interior angles of a triangle is always 180 degrees.

Front

What is the definition of Corresponding Angles?

Back

Corresponding angles are angles that are in the same position on two parallel lines in relation to a transversal. If the lines are parallel, these angles are congruent.