Geometry Proofs

Front

What is the Reflexive Property of Congruence?

Back

The Reflexive Property of Congruence states that any geometric figure is congruent to itself. For example, if segment AB is a line segment, then AB ≅ AB.

Front

What does it mean for two angles to be supplementary?

Back

Two angles are supplementary if the sum of their measures is 180 degrees. For example, if angle 1 and angle 2 are supplementary, then m∠1 + m∠2 = 180°.

Front

What is the definition of a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles whose non-common sides form a straight line. Linear pairs are always supplementary.

Front

What is the statement for step 2 in a proof involving congruent segments?

Back

The statement for step 2 could be that two segments are congruent, such as AD ≅ DB, indicating that segment AD is congruent to segment DB.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure. For example, if m∠A = m∠B, then ∠A ≅ ∠B.

Front

What is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size. Congruent figures can be transformed into one another through rotations, translations, or reflections.

Front

What is the significance of the statement 'Angles that form a linear pair are supplementary'?

Back

This statement is significant because it establishes a fundamental property of angles that helps in proving relationships in geometric proofs.

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that demonstrates the truth of a geometric statement or theorem based on previously established facts and definitions.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.