Proofs Geometry Review

When a given gives you not enough of a line segment (less than the side of a triangle), which reason(s) will you need to use in your proof?

• Reflexive Property & Addition Postulate

• Reflexive Property & Subtraction Postulate

• Linear Pairs are supplementary

• Angles that form a right angle are complementary

What is reason #2?

• Intersecting lines form congruent vertical angles.

• Reflexive Property.

• If parallel lines are cut by a transversal, alternate interior angles are congruent.

• Definition of angle bisector.

Which of the following is not a valid reason to prove congruent triangles?

• SSA

• ASA

• SAS

• SSS

If EB || GA, then what type of angles are angle FBA and angle GAB?

• alternate exterior angles (congruent)

• alternate interior angles (supplementary)

• corresponding angles (congruent)

• same side interior angles (supplementary)

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Congruent

• Congruent Parts of Congruent Triangles are Corresponding

• Colorful Pieces of Corresponding Triangles are Congruent

• Congruent Pieces of Congruent Triangles are Congruent

If AB || ED, then what type of angles are angle CBA and angle CDE?

• alternate exterior angles (congruent)

• alternate interior angles (congruent)

• corresponding angles (congruent)

• same side interior angles (supplementary)

If HL || IK, then what type of angles are angle LHI and angle KIJ?

• alternate exterior angles (congruent)

• alternate interior angles (congruent)

• corresponding angles (congruent)

• same side interior angles (supplementary)

Determine the reason for Question #7.

• Segment Addition Postulate

• Given

• Definition of Congruence

• Substitution

• Symmetric Property

Determine the reason for Question #11.

• Definition of a Midpoint

• Definition of Congruence

• Substitution

• Symmetric Property

• Addition Property of Equality

Determine the reason for Question #13.

• Segment Addition Postulate

• Definition of a Midpoint

• Definition of Congruence

• Substitution

• Symmetric Property