Question

What is the answer to this question ?

Answer 1

Do you know what that denotation means?
a||c
?

Answer 2

It is like a straight forward definition

Answer 3

It means that line a and c are parallel

Answer 4

And they want you to prove that

Answer 5

Do you know what supplementary means?

Answer 6

right

Answer 7

it means add up to 180 degrees

Answer 8

Exactly. Now, do you know what parallel means?

Answer 9

yes it means for two lines are always having the same distance

Answer 10

It means that the two lines have the same slope. If you stick both your arms out in front of you, they are parallel to each other, since they y = (however high your arms are off the ground), they have the same 'slope.'

Answer 11

2 and 3 are what you would call alternate exterior angles,

Answer 12

This means that they are the same degree

Answer 13

Also we know that angle 1 and 2 are congruent since they are corresponding angles.

Answer 14

Correct for your explanation

Answer 15

Since we know that 2 is congruent to 3 as they are alternate exterior angles, and 3 is supplementary to 4, we know that they add up to 180. Thus we can conclude that these two angles are congruent.
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Answer 16

Let me know if you can open up that screenshot

Answer 17

We know this since 3 is the same value as 2, so if 4 is supplementary to 3, then it is to 2, so the angle supplementary to 2 as shown in red in the screenshot is congruent to 4. Since 1 and 2 are congruent, 4 is supplementary to 1 as well, showing that these lines are created at the same angles.

Answer 18

If you hold one hand out straight and one pointed directly down, they are not parallel, since they create different angles. The one pointing straight is 90 degrees to your body, and the one pointing down is 0 degrees (since it's right up against you). But when they are both 90 degrees, they are out straight, together, parallel. Thus when they create the same degrees, we know that are both parallel

Answer 19

I purposefully put the bits of information of how to answer this all over for you to piece together. This paragraph proof just seems to be you expressing the logical steps of how these two lines are parallel. See how I worked my way from 1 and 2 down to 3 and 4, then back up to 1 and 2, that's how we can confirm these are parallel.

Simply logically explain the series of steps you take to show that these two lines are parallel, in your own words.

Answer 20

i couldn't open the screenshot sorry

Answer 21

Ok Thank you a lot Shadow i really understand of your entire explanation on this and i got an better idea of it