1. what is the reason for statement 3 of the two-column proof?
angle addition postulate
linear pair postulate
definition of complementary angles
definition of angle
2. what is the reason for statement 2 of the two-column proof?
definition of bisect
definition of angle
angle addition postulate
linear pair postulate
3. what can be used as a reason in a two-column proof?
select each correct answer.
a postulate
a premise
a definition
a conjecture
4. drag a reason to each box to complete the proof.
given: km=ln
segment k n with points k l m n on the segment in order from left to right
prove: kl=mn
5.drag a statement or reason to each box to complete this proof.

1. Angle addition postulate (this could be wrong)

2. Definition of bisect

3. Definition and postulate

4. Screenshot at the bottom

Last one I can't help, my bad.

#1) Angle Addition Postulate; #2) Definition of bisect; #3) postulate, definition and conjecture; #4) Given, Segment Addition Postulate, Subtraction Property of Equality; #5) Angle Addition Postulate, 60°+40°=m∠ABC, 100°=m∠ABC, Definition of obtuse angle.

Step-by-step explanation:

The angle addition postulate says that when two angles have a common vertex and common side, the measures of the smaller two angles added together is equal to the measure of the larger angle formed by the two.  In Statement 3 of Problem 1, JMK and KML are added to form JML.  This is the angle addition postulate.

When a segment or a line bisects an angle, it cuts it into two equivalent angles.  This is why the angles formed by bisector PQ, RPQ and QPS, are congruent.

Postulates, definitions, conjectures and theorems can all be used as reasons in a two-column proof.  Premises are not.

In #4, we are given that KL = MN.  LN is formed by pieces LM and MN; this is the segment addition postulate.  Once we have KL+LM = LM+MN, we can subtract LM from both sides; the property that allows us to do this is the subtraction property of equality.

In #5, we see that ∠ABC is formed by angles ABD and DBC; this is the angle addition postulate.  ABC = 60° and DBC = 40°; we substitute these in for the angles, using the substitution property.  We can then add these two angles together for a measure of 100°.  This is by definition an obtuse angle.