Question

Geometry Help?

Answer 1

What do you call angles ABE and DCE?

Answer 2

congurent

Answer 3

is it?
i was absence on that day and m not sure

Answer 4

I think you should relearn the chapter on Parallel Lines. You cant prove theorems about them, if you're not familiar with the properties of them.

In any event, those two angles are called Alternate Interior Angles. And whenever you have alternate interior angles, they are equal.

Answer 5

okay
can you please give me answers ?
if it's okay

Answer 6

Are you here to learn or to get answers?

Answer 7

learn but i gotta turn this in asap
i gotta look more khan academy videos

Answer 8

As I said before, I strongly recommend you learn the chapter on Parallel Lines. Then you will have an understanding so that you can solve problems and prove various theorems regarding parallel lines. Just to give you an answer will defeat the purpose.

Answer 9

but please

Answer 10

i will learn those stuff on weekend
but i really gotta summit tomaroo

Answer 11

Sorry, I can't help. Tell your teacher that you need to learn the chapter first, then you can solve the problems. Perhaps ask your teacher for a few day extension to turn in your assignment.

Answer 12

he is really mean

Answer 13

If you tell him that you want to learn but need another couple of days, he won't work with you?

Answer 14

nope
he says i have to turn it in tomaroo or i will have zero

Answer 15

Is that proof the only question you have left to do?

Answer 16

yes that's the last one

Answer 17

How did you manage to answer all the other ones?

Answer 18

i look quick examples but i don't understand

Answer 19

i can solve algebra stuff but reasoning stuff not my thing

Answer 20

i mean i am good at algebra stuffs

Answer 21

I will show you.........try to follow for a couple of moments.

Answer 22

In my diagram, lines AB and CD are parallel. Line EF, that intersects both parallel lines is called a transversal.

Answer 23

okay

Answer 24

Becuase I drew this tranversal, there are 8 angles that are formed. I labelled them 1,2,3,4,5,6,7,8.
Angles 2,3,5,6 are called interior angles because these 4 angles are in the inside of the parallel lines.

Angles 1,4,7,8 are called exterior angles. They are on the outside of the parallel lines.

Answer 25

okay i got it

Answer 26

Angles 2 and 6, are both interior angles. But they have a special name. They are Alternate Interior angles. Meaning, one angle is on one side of the transversdal, and the other angle is on the other side of the transversal. You must know that a pair of alternate interior angles are equal.

There is one more pair of alternate interior angles; that is, angles 3 and 5.

Do you understand this so far? Any questions till this point?

Answer 27

yes i do understand

Answer 28

ok. Now, you now have enough knowledge to answer the proof you want answered. But we will do it together.

BUT, keep in mind, there is more material on parallel lines that you need to know. I am showing you what you need to know to answer the proof.

Answer 29

okay

Answer 30

so first in is given right

Answer 31

Have the proof in front of you, so we can do it together.

We want to prove that the two triangles, AEB and DEC are congruent.

Answer 32

And you know, that we can prove two triangles congruent, many ways. Example...SSS, SAS, AAS, ASA. So let's go through the proof.

Step 1............AB is paralle to CD...Reason is Given..which you filled in correctly.

Answer 33

Step 2...........

Statement says, that angle ABE is congruent to angle DCE... what do we call those two angles?

Answer 34

AB is parallel to CD. BC acts as the transversal. So what do you call angles ABE and DCE?

Answer 35

well?

Answer 36

this is where i had trouble with
i can figure out which is vertical, corresponding and those stuff
in this case it's two different triangle

Answer 37

as i would guess i would say Angles interior

Answer 38

is it?

Answer 39

Look at the parallel lines AB and CD. I know it is sideways, but they are parallel. The line segment BC is a tranversal. So angles ABE and DCE are alternate interior angles, because these 2 angles are on the inside , one on one side of the transversal, and the other angle on the other side of the tranversal. Agree?

Answer 40

so it's Angles Interior ?

Answer 41

am i getting it?

Answer 42

So the Reason #2..why they are equal is because Alternate Interior Angles are equal.

Answer 43

okay
#3 is it caz it's parrael or given

Answer 44

#3... AB = DC ...Given (Look at the given on top of the page, it is given that AB = DC)

Answer 45

yes

Answer 46

#5 is given too right

Answer 47

ow no

Answer 48

For #4, the statement is, angle BAE = angle CDE...what do you call those 2 angles? Look at the two angles and tell me what you call them.

Answer 49

#5...is NOT given..that is what you want to prove. Only #1 and #3 are given.

Answer 50

For #4...why are angles BAE and CDE equal? You give me a reason.

Answer 51

alternate exterior angles

Answer 52

is it same as 8 and 4 from the example that u give me

Answer 53

no, they are alternate interior angles also...look carefully, they both lie INSIDE the parallel lines, so we call them a pair of alternate interior angles. And, again, the reason why they are equal is becuase "Alternate Interior Angles are equal."

Answer 54

ow okay

Answer 55

So mark off your diagram....angle ABE = DCE; side AB = side DC, angle BAE = angle CDE.
Now, the last step. Why are the two triangles are congruent? What is the reason? Would they be congruent becuase of SSS, SAS, ASA, or AAS? Look carefully.

Answer 56

Need my help?

Answer 57

yes please

Answer 58

Watch...I will show you the diagram..marked off.