Segment Bisector, Angle Bisector

The figure is an example of a(n) ...

• angle bisector

• perpendicular bisector

• median

• midsegment

The figure is an example of a(n) ...

• altitude 

• perpendicular bisector

• midsegment

• angle bisector

A segment that bisects one of the angles of a triangle

• Angle Bisector

• Perpendicular Bisector

• Altitude

• Midsegment

The figure is an example of a(n) ...

• angle bisector

• perpendicular bisector

• median

• midsegment

Given: m∠LAN = 30⁰ , m∠1 = 15⁰
Prove: AM bisects ∠LAN
Step 1: m∠LAN = 30⁰ 
Step 2: m∠1 + m∠2 = m∠LAN
Step 3: m∠1 + m∠2 = 30⁰
Step 4: m∠1 = 15⁰
Step 5: 15⁰ + m∠2 = 30⁰
Step 6: m∠2 = 15⁰
Step 7: m∠1 = m∠2
What is the justification for Step 7?

• Subtraction property of equality

• Transitive property of equality

• Addition property of equality

• Definition of congruent angles

What is the missing statement in the proof?

• 2m∠ABD = m∠ABD + m∠ABD

• m∠ABD = m∠DBC

• m∠ABC = m∠ABC

• m∠ABD +m∠ABD = m∠ABD + m∠DBC

• Symmetric Property of Congruence

• Definition of Congruence

• Angle Addition Postulate

• Definition of Angle Bisector

What does it mean to bisect a segment or an angle?

• Split it into 3 equal parts.

• Split it into 2 equal parts.

• Split into 4 equal parts.

• Double it.

Which of the following below would fill in the Reasons in the proper order?

• Given; Definition of bisect; Transitive; Given, Definition of bisect

• Given; Transitive; Given; Definition of bisect; Definition of bisect

• Given; Definition of bisect; Given; Definition of bisect; Transitive

What is the justification?

• Definition of an Angle Bisector

• Complementary Angles Theorem

• Definition of a Right Angle

• Angle Addition Postulate