Line Segment Proofs

Fill in the statement for number 3. 

• HA = AY

• HA = AP

• A is the midpoint of HP

Given: B is the midpoint of AC. What should you conclude?

• AB + BC = AC

• AB = BC

• A is the segment bisector of BC

• ABC is a straight angle

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

• Reflexive Property of Equality

• Symmetric Property of Equality

• Symmetric Property of Congruence

• Reflexive Property of Congruence

A point that bisects a segment into two congruent segments

• midpoint

• ray

• skew lines

• angle

If AB=50, which definition would explain why AM=25?

• Definition of Congruent

• Definition of Midpoint

• Definition of Segment

For the proof shown, provide statement 5.

• AB=EF

• AB=DE

• AC=DF

• BF=DF

Name the Property that the statement illustrates:

If AB=21 and DC=21 then AB=DC

• Substitution Property

• Reflexive Property

• Symmetric Property

• Subtraction Property

If it is given that the indicated lines are parallel and that segment SF bisects ∠TSE, select ALL correct statements that could be used.

• ∠1 ≅ ∠5 by the corresponding angles postulate

• ∠2 ≅ ∠4 by the alternate interior angles theorem

• ∠1 ≅ ∠2 by the definition of an angle bisector

• ∠3 and ∠5 are supplementary by the consecutive interior angles theorem

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines

Why is ∠KJM ≌∠LMJ?

• Alternate Exterior angles are congruent

• Alternate Interior Angles are congruent

• Corresponding Angles are Congruent

• Consecutive Interior angles are supplementary