Question

.

Answer 1

Where is the figure ?

Answer 2

Start by writing down the given info

Answer 3

This is what I have

Answer 4

Im gooing to post an image, Check it out

Answer 5

Okay, sure

Answer 6

I cant change the statements I can only fill in the reasons

Answer 7

Like I have filled in all the reason,s but I am not sure at all

Answer 8

Statements look okay. But reasons don't.

Answer 9

1, 2, 3 rows are good.

Answer 10

yea im not too sure about my reasons

Answer 11

for statement 4,
can you tell me why DC equals DE ?

Answer 12

i think they are corresponding cause they are on the same sides of each other

or they could be parallel

Answer 13

You shouldn't use the term "corresponding" for sides.

Answer 14

Triangle DCE is what kind of triangle ?

Answer 15

Acture

Answer 16

Actue*

Answer 17

Notice that it has two equal angles,
so it is an isosceles triangle.

Answer 18

ohh my bad

Answer 19

The sides opposite to equal angles are equal.

Answer 20

So you may put that as a reason for the statement 4

Answer 21

oh ok thanks, so i should never use corresponding for sides right?

Answer 22

I've never heard of the phrase "corresponding sides"

We have "corresponding angles" though

Answer 23

ok thanks, so what about the rest of the reasons?

Answer 24

In #5 and #6,
you're adding segments, so you may use below postulate as the reason :

http://study.com/cimages/multimages/16/segment_addition_postulate-_diagram_1.png

Answer 25

ok

Answer 26

i never heard of that prostulate thanks!

Answer 27

That's okay. It says a simple fact :
When you add two pieces, you get a big piece.

Answer 28

so do i use this for every statement that requires adding segments?

Answer 29

You may use it when required. But in the present proof only #5 and #6 are using it.

Answer 30

In #7 and #8,
you're substituting stuff, so you may simply put below as your reason :
```
By substitution property
```

Answer 31

In #9,
you have subtracted something from both sides, so you put this as your reason :

```
By subtraction property of equality
```

Answer 32

#10 looks exactly same as #9 right ?

Answer 33

Um well

Answer 34

For number 10 EF has a line intop of it and so does CB, then the equal sign has a squigly line over it

Answer 35

and 9 is as you see it

Answer 36

Ohk, I think you may put something like below as your reason for #10 :
```
Segments of equal length are congruent.
```

Answer 37

Have I said before that we should never utter the phrase "corresponding sides" ?

Answer 38

Yes you said that

Answer 39

I was completely wrong with that. We use that phrase all the time while comparing sides of congruent and similar triangles.

Answer 40

oh ok

Answer 41

So does that mean my reason for number 9 is correct?

Answer 42

No. Does my reason for #9 make sense ?

Answer 43

Not really could you explain, how it would be subtraction?

Answer 44

Look at statements #8 and #9

Can you tell me what you did to statement #8 to get statement #9 ?

Answer 45

oh I see it now

Answer 46

Im starting to see how these two columns works

Answer 47

cause the addition in 8 reulsted in have a final answer in 9

Answer 48

are my 11 and 12 right?

Answer 49

Yes, they look good.

Answer 50

You should insert a new row between 12 and 13

Answer 51

statements #11 and #12 and #1 imply that
```
angle ACB = angle GEF
```
right?

Answer 52

true, like I said before I have no control over the statements, only the reasons

Answer 53

I wish I could but I dont know how its like blocked

Answer 54

Ohk... For last reason, can you guess the congruence postulate that we may use to justify here ?

Answer 55

dont tell me yet, let me try to figure it out

Answer 56

We have two angles and the included side pairs in the triangles congruent,
so...

Answer 57

ASA?

Answer 58

Exactly!

Answer 59

http://www.mathwarehouse.com/geometry/congruent_triangles/images/ASA/picture-laballed.png

Answer 60

hahaa thanks
though I was about to answer something else

Answer 61

what is the difference between SAS and SSA

Answer 62

Let me ask you a question

Answer 63

Suppose I give you one triangular shaped cookie.

http://rlv.zcache.com/chocolate_chip_cookies_triangle_sticker-rf16a84dc179d4c9d9b6ec12a7b6c5bc8_v9w05_8byvr_324.jpg

Answer 64

Don't eat yet.

Answer 65

Then I give you another triangular shaped cookie :
http://www.sweetopia.net/wp-content/uploads/2009/12/triangle-christmas-tree-easy-christmas-tree-cookie-300x450.jpg

Answer 66

Here is the question :
Are they both of same shape and size ?

Answer 67

umm...yes?

Answer 68

How did you figure that out ?

Answer 69

They both are triangular. But they could have different lengths, right ?

Answer 70

What lengths must you measure to be sure ?

Answer 71

Yea true, I think i just took a guess

Answer 72

equilateral triangles?

Answer 73

Not necessarily. Assume they're some random triangles.

Answer 74

oh ok

Answer 75

If the both cookies have all three corresponding angle pairs equal,
then can we say the triangles are congruent ?

Answer 76

http://image.mathcaptain.com/cms/images/41/AAA-triangles.JPG

Answer 77

no, because they might have the same angles, though the size can differ.

Answer 78

they could be called similar triangles

Answer 79

in dilation the size of the angles dont change only the length of the sides

Answer 80

Ganshie I have one problem, would you mind helping me with it

Answer 81

Very good. So we cannot say the triangles are congruent even when all the 3 corresponding angles pairs are congruent.

Answer 82

Wait. Let me finish answering your question

Answer 83

Ok

Answer 84

I'm trying to address below question
```
what is the difference between SAS and SSA
```

Answer 85

AAA means Angle Angle Angle

It is a shortcut for saying that all the 3 corresponding angles pairs in the two cookies are equal.

Answer 86

hi dear my friend - sory but i not can answering to you with message bc. my submitt button is blocked again too ,not solved it again i ve wrote to OS team but not made nothing in this case

Answer 87

Its ok Ill just ask ganshie!

Answer 88

Oh sorry about that @jhonyy9 . Openstudy has merged with Brainly and they seem to be busy with all the formal stuff...

Answer 89

SAS means Side Angle Side

Answer 90

http://www.mathwarehouse.com/geometry/congruent_triangles/images/SAS/side-angle-side-picture-labelled_228x169.png

Answer 91

@ganeshie8 you dont seeing me but i m here daily in the night ,oh yes night here in Europe what i think in Florida or in the est part of your country is night too but in the other part is day

Answer 92

Ganshie Could I insert my next question?

Answer 93

I got the SSA and SAS AAA and others

Answer 94

@ganeshie8 do you really wan,like i repost these my questions about primes,super twins,star-twins,family tree of primes ,...? just because @Directrix have wrote me on feedback that he like i repost these my deleted questions