Geometric Properties

What does the Definition of Angle Congruence say?

• Angle A is congruent to angle B.

• If a=b, then a+c=b+c.

• If angle A is congruent to angle B, then the measure of angle A is equal to the measure of angle B.

• If a=b, then b=a.

What is a point or line that splits a segment into two congruent halves?

• Definition of Midpoint

• Definition of Segment Bisector

• Definition of Angle Bisector

• Definition of Segment Congruence

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Distributive Property

• Transitive Property of Congruence

Name the property of equality or congruence that justifies going from the first statement to the second statement: (a)   .

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Distributive Property

• Transitive Property of Congruence

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

• Substitution

• Commutative

• Reflexive

• CPCTC

Which property is being used above?

• Addition Property

• Subtraction Property

• Multiplication Property

• Division Property

Which property is being used above?

• Symmetric Property

• Substitution Property

• Reflexive Property

• Division Property

What is a point that is in the exact middle of a segment?

• Definition of Angle Congruence

• Definition of Angle Bisector

• Definition of Midpoint

• Definition of Segment Congruence

If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C

• Reflexive Property of Congruence

• Transitive Property of Congruence

• Definition of Congruence

• Symmetric Property of Congruence

Name the property of equality that the statement illustrates.

∠G ≅ ∠G

• Symmetric Property of Congruence

• Definition of Congruence

• Reflexive Property of Equality

• Reflexive Property of Congruence