Question

The chart below describes three triangles.


Name of triangles
Description
Triangle ABC and triangle AED
Congruent triangles
Triangle ABC and triangle AFG
Similar triangles
Triangle AED and triangle AFG
Similar triangles

Part A: Write the coordinates of points A, B, C, D, E, F, and G.

Part B: Using complete sentences, prove that the coordinates chosen for the points are correct.

Answer 1

is this the whole question./?

Answer 2

yes!

Answer 3

@UnkleRhaukus

Answer 4

so there are no coordinates given?

Answer 5

Is there a graph?

Answer 6

no @xKingx

Answer 7

Hmm well then it's possible they want you to compare coordinates. I'm guessing this isn't multiple choice either right?

Answer 8

no its not @xKingx

Answer 9

i guess you should start with drawing a triangle arbitrarily on the plane and working from there

Answer 10

i dnt know how to do this. i was hoping one of yall can do it so i can see how to do it.

Answer 11

I'm trying to draw this out for you but first just to make sure your congruent triangles are ABC=AED yes?

Answer 12

If a triangle is congruent then it is the same length and size. The 'A' would be the same in both triangles meaning they share that angle. So it should look something like this:

Answer 13

yes

Answer 14

Now AED and AFG are similar so they look the same but are different sizes.So it'd look something like this:

Answer 15

what should i say for part a and part b?

Answer 16

Well I think it'd be easier to explain if you drew out your own graph, so you could do something like this:

Answer 17

yeah but i cant do it like that. can u tell me how to write it like in words as part a and b

Answer 18

@xKingx

Answer 19

Ok... Part A: Write the coordinates of points A, B, C, D, E, F, and G.

I can't think of an acurate way to descibe it without a referrence pic but ABC=AED so I'd say that Both 'A' shares a common point and ED would be inverse number on the graph from BC. FG in Triangle AFG would be down sized by at least 1 (I forget the math term for "down sized" lol)

Answer 20

Part B: Using complete sentences, prove that the coordinates chosen for the points are correct.

Well now that the more difficult part is out of the way this is easy to explain. Congruent as mentioned earlier means it looks exactly the same however they are two different triangles so it would be a translation or flip. ED being a direct flip from BC means that they would have to come out even, so long as they are the same length they are congruent and they both start with 'A' so it HAS to be a common point. AFG also shares 'A' as the top letter but it is similar meaning it would have to be bigger or smaller than the other triangles, but still keep the same shape. In this case we went with smaller so they would have to be one scale lower.

What could also help is if you assign them points. Like you saying if A was 10,5 and B=5,-4 and C= ect. and then assign points for the others and explain why that would make sence.

Answer 21

can you write it as YOU would write it like PART A: and then PART B:,but write it as u would write it to a teacher or something.

Answer 22

That's as simple as I could put it to you OR a teacher. There's not much explaining or defining I can do without so much as a graph or picture, especially if I (you) can't draw one. If I were you then I would draw out the graph as said earlier. Draw it out on scratch paper and then Put A=, B=, C= ect. until you have all of them written and assign all of them a point. If you don't know what it would look like refer to the pictures I drew for you. After that you write out why it makes sense (basically rewriting what I wrote in your own words).

Essentially, what I told you in the beginning is exactly what I'd give my teacher.

Answer 23

All you have to do is make a graph, can't take anymore than 5mins. =/

Answer 24

ok thank you!

Answer 25

but whats the math term for downsize?

Answer 26

Well I completely blanked out on it atm. lol. It's 6:51am my time so my brain is not doing well with technical terms for things. But downsize or "on a smaller scale" should work. Sorry about that tho.

Answer 27

What should i write for b? i wrote for a already but u put too much information for b please make it shorter..

Answer 28

Ok basically you just need to draw out a normal graph and plot the picture's points onto it. They didn't give you a pic so I doubt that it matters so much. After you do your graph on scratch paper write which coordinates are for what and why you put them there.

Answer 29

All the triangles have 'A' in common. BC=ED, these are similar so you can just put them as the inverted coordinates of eachother. Then say something like: Congruent means they are the same and them having inverted coordinates demonstrates this because they are still the same length and share a common point "a".

Answer 30

ok i put this,but is it right and does it make sence? Congruent as mentioned earlier means it looks exactly the same however they are two different triangles so it would be a translation or flip. ED being a direct flip from BC means that they would have to come out even, so long as they are the same length they are congruent and they both start with 'A' so it HAS to be a common point. AFG also shares 'A' as the top letter but it is similar meaning it would have to be bigger or smaller than the other triangles, but still keep the same shape. In this case we went with smaller so they would have to be one scale lower.

Answer 31

or shout

Answer 32

should* i take something out

Answer 33

O.o well since it is in my exact word it doess sound odd. Just stick to writting:

All the triangles have 'A' in common. BC=ED, these are similar so you can just put them as the inverted coordinates of eachother. Congruent means they are the same and them having inverted coordinates demonstrates this because they are still the same length and share a common point "a".

FG would be a dilation, I chose to make it smaller in this case. I made it one scale smaller but kept it so that it still had the common point "a".

(Don't write this lol) Remember when you draw your graph to use mine as a refference so you don't get confused with how it'd look. =)

Answer 34

*I meant to put BC=ED these are congruent

Answer 35

ok thank you very much!!

Answer 36

No prob! :D Good luck in you studies!

Answer 37

All the triangles have 'A' in common. BC=ED, these are congruent so you can just put them as the inverted coordinates of eachother. Congruent means they are the same and them having inverted coordinates demonstrates this because they are still the same length and share a common point "a".

FG would be a dilation, I chose to make it smaller in this case. I made it one scale smaller but kept it so that it still had the common point "a". i wrote that is it ok?

Answer 38

@xKingx

Answer 39

Yes just remember that when you assign F and G coordinates you stay true to that. So if say B= (5,-4) then F= (4,-3). If F= (3,-2) in this case that's two scales smaller, so be careful w/ that; otherwise good job. ^_^

Answer 40

I'm loggin off now so do you have any final questions?