Question

Please help with my quickcheck! I don't understand it!

Answer 1

Can anyone help me?!

Answer 2

Are all three statements giving you a problem?

Answer 3

Yes.. I am horrible with proofs.

Answer 4

First, do you have any idea what #3 is saying?

Answer 5

Well I know that 3. is reflexive property. Sorry

Answer 6

Ok, good.

Answer 7

but 4 and 5 I don't know what to do

Answer 8

And, by the way, have you drawn a picture of the figure--I swear that always helps.

Answer 9

no..

Answer 10

Because it is on my quickcheck. DO I need to still draw the picture?

Answer 11

I'm not sure what quick check is...

Answer 12

Oh it's just something for my school. But anyways, the figure is already there

Answer 13

First, it's a special theorem--you hardly ever see it.

Answer 14

Okay

Answer 15

How many can you name?

Answer 16

like SSS,SAS,SSA

Answer 17

?

Answer 18

Yeah

Answer 19

What was that last one you wrote?

Answer 20

side-side-angle?

Answer 21

What do you know about it?

Answer 22

one sec, lemme get my notes

Answer 23

I didn;'t write that one down. But I think it is where if two corresponding sides are congruent to another triangle, then its angles are congruent also?

Answer 24

This, is really important:

Answer 25

There is SSS, SAS, ASA, AAS, etc. but NOT retricebut there is ONE exception.

Answer 26

okay

Answer 27

Wait, I think the website deleted my "SSA" because it was written backwards and was censored. Ha!

Answer 28

aha!

Answer 29

But anyway, there is an "AAS" but no "SSA" except when you're dealing with right triangles.

Answer 30

Okay, got it

Answer 31

You'll often see it written as "HL" -- the Hypotenuse Leg Theorem

Answer 32

alright

Answer 33

Anytime you have two right triangles with 1.) congruent hypotenuses and 2.) another congruent side (the "leg") then the triangles are congruent.

Answer 34

Now do you know number 5?

Answer 35

3.) is reflexive property 4.) HL 5.) ...

Answer 36

Wait, I am confused...

Answer 37

What?

Answer 38

Wuld number 5 be what we just talked about?

Answer 39

No, look at the picture: #3 is how we prove the hypotenuses are congruent (because the share the same hypotenuse). #4 is how we prove the two triangles are congruent

Answer 40

So now we need to prove something about it being a rectangle?

Answer 41

Or that they are parallel lines?

Answer 42

No, it's much easier than that. In fact, I will guarantee that you will end up writing down the letters to this theorem more than any other...

Answer 43

okay.. Umm.. I write down SAS quite often..?

Answer 44

No, easier than that -- you've already proven that the two triangles are congruent.

Answer 45

CPOCT

Answer 46

"CPCTC" - Corresponding Parts of Congruent Triangles are Congruent

Answer 47

oops, that's what I meant(: So that is number 5?

Answer 48

Yeah. Again, I promise you that as the year progresses you'll be writing CPCTC more than all the others so remember it! It will come in handy.

Answer 49

Thanks! One more?(:

Answer 50

One more question?

Answer 51

Yeah!

Answer 52

?

Answer 53

Sure, what is it?

Answer 54

This proof I really am having trouble with

Answer 55

I don't know what to put and stuff

Answer 56

Do you have an idea of where to start?

Answer 57

Not at all.. Im clueless

Answer 58

The key is to prove that triangle ADE is congruent to BDC. Then you just use CPCTC

Answer 59

I'm telling you -- CPCTC comes up ALL THE TIME!

Answer 60

Okay, so how can I prove that?

Answer 61

Well, what parts of those two triangles are congruent?

Answer 62

AE is congruent to BC?
AD is congruent to BD?
EC is congruent to AB?

Answer 63

No, you're trying to PROVE that AD is congruent to BD -- you don't know that yet... And I'm just talking about ADE & BDE

Answer 64

oh, okay

Answer 65

do they have any angles that are congruent?

Answer 66

DE?

Answer 67

Look at 2)

Answer 68

okay,

Answer 69

sO?

Answer 70

Ok, one more hint and then I'll have to go.

Answer 71

kk

Answer 72

With step #5 you prove that triangle ADE and triangle BDC are congruent. And with # 6 you prove that AD is congruent to BD using CPCTC.

And, a big hint: You prove #5 with SAS

Ok, good luck!!