Congruent Triangle Proofs

Front

What is a congruent triangle?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is the Reflexive Property?

Back

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

Front

What are Alternate Interior Angles?

Back

Angles that lie between two parallel lines and on opposite sides of a transversal; they are congruent.

Front

What is the Definition of Midpoint?

Back

A point that divides a segment into two equal parts.

Front

What is the Segment Bisector?

Back

A line, ray, or segment that divides a segment into two equal parts.

Front

What is the significance of Vertical Angles?

Back

Vertical angles are formed when two lines intersect; they are always congruent.

Front

What does it mean for angles to be congruent?

Back

Angles that have the same measure.

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 Angle-Angle (AA) criterion for triangle similarity?

Back

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