Question

I am willing to do the work, I simply want someone to talk through each question with me.
1. Complete the proof by filling in the missing reasons for six steps.
Here are some possible answers: (Note: Not all of these will be used.)
Definition of a right angle
Division property of equality
Addition property of equality
Segment addition postulate
Definition of linear pairs
Linear pair property
Substitution Property of equality
Definition of supplementary angles

Given m<1 = m<2
And points D, F, and E are colinear
Prove AB ED (There is a straight line directly above AB and ED)

Answer 1

well a right angle has an angle of 90 degrees

Answer 2

Ok, so we know that supplementary angles add up to 180 degrees and 90 degrees plus 90 degrees equals 180 degrees...

Answer 3

Where it says m<1 = 90 degrees, would the answer be "definition of a right angle?"

Answer 4

Okay so what is it you need help with? :)

Answer 5

Yes i'm pretty sure that would be it. it seems like the correct answer. :)

Answer 6

Well, I was kinda hoping that you could work through it will me...

Answer 7

I'll try but I'm having really bad internet lag, it keeps kicking me off and taking me forever to type. :'(

Answer 8

Where it says m<1 + m<2 = 180 degrees would the correct answer be "Definition of supplementary angles?"

Answer 9

I need to ask how your text defines or describes the linear pair property.

Then, we can go over the proof.

@Yoongilife

Answer 10

My internet is working really slow and I am not able to keep up with and I don't want to waste your time :( You should have someone else help you :) sry

Answer 11

This entire "thing" is a proof of the theorem:

If two lines form congruent adjacent angles, then the lines are perpendicular.

Answer 12

Directrix has a good score so I think that they can help you the best!

Answer 13

"A linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other and supplementary means that the measures of the two angles add up to equal 180 degrees." This is how my textbook describes linear pairs. Does this answer your question?

Answer 14

I see what you are saying "Linear pair property" is a possible answer, because by saying <1 is supplementary to <2 and that they both add up to 180 degrees is basically the defintion of a linear pair, right?

Answer 15

In the word bank, there appears "Def of Linear Pair" and then a second item, "Linear Pair Property".

I am asking you what the Linear Pair Property is. Obviously, it is a property of linear pairs but what? I'm thinking it is that the angles of a linear pair are supplementary.

But, what does your text say about the Property?

Answer 16

I think Linear Pair Property would have to go in the b slot of the reasons.

Answer 17

After looking at the definitions I agree.

Answer 18

I believe the next one down would be "Definition of supplementary angles", right?

Answer 19

The proof goes like this.

You have two angles that form a linear pair.
They are supplementar so they total 180.
They are given to be congruent so each one is 90.
A 90 angle is a right angle.
The lines that formed the right angle are perpendicular.

Answer 20

That is the gist of the proof logic.

Answer 21

I see what your saying, but I get confused on parts d and f.

Answer 22

@Directrix

Answer 23

To answer part D, you have to look at what came before it.

These are not stand alone, name the reason statements when they are part of a proof.

So, what do you think should be the reason for D?

Answer 24

How does statement d differ from statement c

Answer 25

Ok, so the only thing that changed was m<2 to m<1, which would be substitution property of equality, right?

Answer 26

It's basically saying that m<1 and m<2 are the same. "Equality"

Answer 27

Correct. And, we knew that those two measures were equal from earlier in the proof.

Answer 28

To get reason F, first look at statements E and F.

Answer 29

Alright, so let me ask you this 2(m<1) = 180 degrees looks like the distributive property to me (not an answer), why would it be division property of equality down inside section e and not definition of a right angle?