Question

Please help ASAP! Will fan and give medal

Answer 1

I really need help.

Answer 2

Some people (including myself) do not open .docx files because of security risks.
You will probably have more helpers if you post .jpg files.

Answer 3

It's a Microsoft document

Answer 4

I'll repost the link

Answer 5

Ok that didnt work as planned

Answer 6

It is a Microsoft Word (2007 or later) document.
However, .docx files \(could\) include infected macros, so I don't open them. Some others may do the same, but that's not my problem.

Answer 7

Thanks for the tip

Answer 8

You cannot just change the extension.
You could do a screen capture and post it in an image server.

Answer 9

How?

Answer 10

I only know how to do that on Microsoft

Answer 11

You could use a screen capture program which comes with Windows ("snipping tool" in start/programs/accessories/snipping tool) to capture your image/text. Then post the captured image on an image server, such as prntscr.com or many other ones.

Answer 12

The problem with screenshotting it on windows is that the problem is originally from the document,so I can screenshoot it.

Answer 13

https://docs.google.com/document/d/1HrAIJI6sFMVV0gO_EHLhlUXc_WLz9ACW6lUJuXDt0A4/edit

Answer 14

@mathmate Thats the best I could do,U didn't have to leave. Here's a link,google drive

Answer 15

What problems are you having, TalentedGirl? I have your study guide open here.

Answer 16

Did u see the google drive link?

Answer 17

https://docs.google.com/document/d/1HrAIJI6sFMVV0gO_EHLhlUXc_WLz9ACW6lUJuXDt0A4/edit

Answer 18

Yes, I have it open.

Answer 19

Ok,the problem is, I have no idea how to do this. I never actually understood it from the beginning.

Answer 20

Ok, so you are given a couple of congruent trangles sharing side RF. You have to fill in the steps to form a logical proof that angle C is congruent to angle D. The left column contains the logical steps of the proof, the right column contains the reasoning behind those steps.

Answer 21

I get that part. But I don't know the steps to prove

Answer 22

We need to show that all of our angles are congruent to one another. We can either start form the top and go down, or work our way up from the bottom. You see that in step one we determined that RF is the bisector of two angles.

Answer 23

The reason for that is that it was given at the beginning.

Answer 24

so reason #1 is that it was given information

Answer 25

Mhh ah I see. That is common sense,I suppose

Answer 26

Good, you have an idea where to go from here? I can stick with you if you need more help.

Answer 27

I don't know where to go from there. I'd really appreciate if you'd stick around

Answer 28

No problem. You see reason #2 is "definiton of angle bisector" Do you know the definition of an angle bisector?

Answer 29

Lengths of 2 line segments side divided?

Answer 30

An angle bisector is a line segment that divides an angle in half, so it sticks our of the angle exactly in the middle. For example, RF is the bisector of angle CRD.

That means each CRF, and DRF must be congruent, because they are exactly half the angle CRD.

Does that make sense?

Answer 31

Yeah, when you put it h\that way it does

Answer 32

Then we can put down in statement #2 that angle angle CRF and angle DRF are congruent. Reason #2 is already there: "definition of angle bisector"

Answer 33

Since I helped you with that side, do the other side. Look at angle CFD and tell me what you can put in statement #3.

Answer 34

Would the next one be RDF congruent to RCF?

Answer 35

No, we can prove that yet. It looks like it from the picture, but we need to use the definition of angle bisector to prove the next step. Look at angle CFD.

Answer 36

can't prove that yet**

Answer 37

CFD congruent to RFD angle

Answer 38

Not quite. Note line segment RF is also an angle bisector of CFD.

Answer 39

(look at angles 3 and 4)

Answer 40

CF and FD?

Answer 41

I don't even know if I read that angle right

Answer 42

Angles CFR and DFR (noted as angles 3 and 4 in the figure) should be congruent because angle CFD is bisected by RF. Just like we did on angle CRD.

Answer 43

Ohh ok

Answer 44

So that will go in #3. Make sense?

Answer 45

Yes,because of angle bisector definition

Answer 46

Yep! Now, #4. Can you tell what the "Reflexive Property of Congruence" means?

Answer 47

If A=B and B=A, then A=C?

Answer 48

That's known as the "Transitive Property' The reflexive property of congruence is even simpler. Try a quick google search.

Answer 49

A=A

Answer 50

So equal to itself

Answer 51

Yep. Basically we can see that we have two triangles that share side RF. So by the "Reflexive Property of Congruence", we can saw that RF is congruent to RF (proving that in both triangles, RF is congruent to RF, isnt that silly?)

Answer 52

It sure is, I was also assuming it was RF since it's like the midpoint

Answer 53

Well bisector

Answer 54

Not a bad intuition about it! The next step is to provide a reason for why TRIANGLES CRF and DRF are congruent. Look back at what we have proved so far, and recall the ways that triangles can be shown to be congruent.

Answer 55

Triangle congruence

Answer 56

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL. Which one fits our proof so far?

Answer 57

ASA

Answer 58

Exactly!

Answer 59

The last one would have something to do with angles

Answer 60

Well, its true we are proving angle C and angle D are congruent, but we just proved the two triangles are congruent, so maybe we will use something to do with the properties of triangles ANG their angles!

Answer 61

ANG? Do you mean and?

Answer 62

yeah... sorry

Answer 63

SSS

Answer 64

If two triangles are congruent, then what does that tell us about their angles?

Answer 65

They're also congruent?

Answer 66

Yep, the definition of congruent triangles states that if two triangles are congruent, then their corresponding sides are congruent and their corresponding angles are congruent.

Answer 67

So reason #6 should be "the definition of congruent triangles"

Answer 68

And that would be SSS right?

Answer 69

Reason #6 is "he definition of congruent triangles" because, by definition of congruence, angle C and angle D must be congruent!

Answer 70

the*

Answer 71

Congruent triangles definition?

Answer 72

Just like we used the definition of angle bisector in #2 and #3! If two triangles are congruent, then all their corresponding angles and sides are congruent. So we proved that angle C and D are congruent!

Answer 73

If you want to impress your teacher, you could also put "third angle theorem" on the side, because we really proved C = D when we got to step 4 :)

Answer 74

Right,right

Answer 75

Well, you're all done. Can I help you with anything else?

Answer 76

And yes, to clarify, reason #6 should be "definition of congruent TRIANGLES"

Answer 77

No,that's all. Thank you! I really really appreciate it! That was the final assignment I needed to complete for math class:) Bless you

Answer 78

Looking back through the proof and reasons, do you see how you started with the fact that RF is an angle bisector, and arrived at C = D?

Answer 79

Oops

Answer 80

Awesome! Congrats on finishing up! Thanks for the medal!

Answer 81

Wait, you said it should be the definition of congruent triangles?

Answer 82

So literally look up the definition? Your welcome for the medal,you deserved it

Answer 83

No... all you need to put in the #6 box is literally "definition of congruent triangles"

Answer 84

Ohh, that's what I thought. Just wanted to be sure

Answer 85

you proved the triangles are congruent, which means all their angles are equal congruent, so just "by definiton", angles C and D are congruent!

Answer 86

No problem! Have a good one!

Answer 87

Thank you!