Proof Tables-Congruent Triangle

Front

What is the Reflexive Property of Congruence?

Back

For any geometric figure, it is congruent to itself. (e.g., AB ≅ AB)

Front

Define Congruent Triangles.

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the Definition of a Perpendicular Bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

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

Back

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

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

Back

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

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

Front

What is the definition of a bisector?

Back

A line or segment that divides another segment or angle into two equal parts.

Front

What is the purpose of a proof table in geometry?

Back

To organize statements and reasons in a logical sequence to demonstrate the validity of a geometric argument.

Front

What does it mean for angles to form a linear pair?

Back

Two adjacent angles that are formed when two lines intersect, and their measures add up to 180 degrees.