9.5 Geometric properties and proof

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 property says that for any real number a, a=a?

• Distributive Property

• Reflexive Property

• Transitive Property

• Addition Property

What does the Symmetric Property say?

• If a=b, then b=a.

• If a=b, then a-c=b-c.

• If a=b, then ac=bc.

• If a=b and b=c, then a=c.

What is the Definition of Angle Bisector?

• A point or line that splits a segment into two congruent halves.

• A ray or line that divides an angle into two congruent halves.

• A point that is in the exact middle of a segment.

• A 90 degree angle.

Which property says that if a=b and b=c, then a=c?

• Symmetric Property

• Reflexive Property

• Substitution Property

• Transitive Property

What is the Definition of Segment Congruence?

• If segment AB is congruent to segment CD, then the measure of AB is equal to the measure of CD.

• If a=b, then b=a.

• Segment AB is congruent to segment CD.

• A point or line that splits a segment into two congruent halves.

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

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 M is the midpoint of AB, then AM = MB. Which of the following "reasons" fits for the statement?

• Addition POE

• Def. of Midpoint

• Reflexive POE

• Symmetric

If A = B, then 8A = 8B Which of the following "reasons" fits for the statement?

• Multiplication POE

• Division POE

• Reflexive POE

• Addition POE