Question

https://prnt.sc/lq5pd5

Answer 1

@Shadow

Answer 2

http://prntscr.com/lq5r3a

Answer 3

what does that mean lol

Answer 4

CA and AE are congruent, thus there is a dash through CA and a dash through AE. That's what that means. Same goes for BA and AD, but there is an additional dash to make a distinction from the other sides.

Answer 5

They also share an angle.

Answer 6

okay, so how do i make a 2 column proof?

Answer 7

so there is no 2 column proof?

Answer 8

http://prntscr.com/lq61v8

Actually, try look at that one. Does that make much more sense to you?

Since these two triangles, with two known sides that are congruent to each other, meet to form that angle.

Answer 9

yes it does make sense, im asking how would the 2 column proof look like?

Answer 10

Okay found what I was looking for. Had forgotten the name ._.

Vertical Angles Theorem: "Vertical angles are the angles that are vertically opposite to each other when two lines intersect. Vertical angles are congruent to each other. The angles that are opposite to each other are vertical angles. "

https://math.tutorvista.com/geometry/vertical-angles-theorem.html

Answer 11

Present the givens, then describe the angles created by each respective sides meeting, and say that they are congruent by Vertical Angles Theorem, making the triangles congruent by SAS.

Answer 12

okay, and how do i make a 2 column proof?

Answer 13

Row One: http://prntscr.com/lq668v
Row Two: Angle CAB and Angle DAE congruent by Vertical Angles Theorem
Row Three: Triangles CAD and Triangle DAE congruent by SAS

Answer 14

It is two columns because you state your claim, then the second column is the proof.

So for Row one you would say AB congruent to AD, etc, then in the second column you would say 'Given'

Answer 15

Same goes for Row Two
Column 1 (Claim): Angle CAB and Angle DAE congruent
Column 2: (Proof): Vertical Angles Theorem

Answer 16

Makes sense?

Answer 17

thank you so much lol yes

Answer 18

can you help me with another one?

Answer 19

https://prnt.sc/lq68pr

Answer 20

This one is easy.

Answer 21

Midpoint means that BD bisects AC, creating AD and DC, both being congruent to each other, since AC was cut in half.

Also, BD is a side shared by both triangles.

Then you got BDA and BDC between those sides, being congruent to each other. This was given.

Answer 22

So we have two sides and an angle, what would that make these triangles congruent by?

Answer 23

congruent by...

Answer 24

im not sure

Answer 25

It's a side, an angle, and a side

Answer 26

Refer to this: https://www.mathsisfun.com/geometry/triangles-congruent-finding.html

Answer 27

I know all this, the only thing that i am troubled by is doing the 2 column proof, that way you showed me in the first question was perfect

Answer 28

I've given you enough information though.

Claim | Proof

Answer 29

Start with the easy stuff by laying out the givens

Answer 30

https://prnt.sc/lq6el6

Answer 31

lol did you skip it

Answer 32

omg lol sorry hold up

Answer 33

https://prnt.sc/lq6fv6

Answer 34

That's not how you format it

Answer 35

Row One: Angle BDC is congruent to Angle BDA | Given

Try use the angle and congruent notation if you can.

Answer 36

Copying and pasting simply won't do the job.

Answer 37

By the way for this one: http://prntscr.com/lq6guk
We know they have a congruent side (they share CD) and they have a congruent angle.
Since angle ECD is looking at side ED and angle BDC is looking at side BC, and both angle ECD and BDC are congruent, those sides must be congruent, so we get Side Angle Side again.

Answer 38

So you end up with this: http://prntscr.com/lq6jix

Answer 39

Row Two: Since angle ECD is looking at side ED and angle BDC is looking at side BC so it is a Side angle side.

Answer 40

Lol

Answer 41

I am sorry but there you are having issues understanding how to tackle two column proofs. This is really a hands on topic, so I would recommend contacting your teacher and asking them for help on how to do them. That's what they are paid to do.