The figure below shows two congruent triangular parks. What equation would help you to solve for the side length of BC and EF? Explain your reasoning using complete sentences.

- anonymous

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- anonymous

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- anonymous

PLEASE HELP!!

- Luigi0210

Welcome to Openstudy :)

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- anonymous

Thanks:)

- anonymous

I seiriously need help....are you good at geometry? Not trying to offend you or anything, just asking

- Luigi0210

Geometry was never my favorite subject.. but I can always try.
I would start off by setting the two equations equal to each other

- anonymous

ok......gimme a sec...

- anonymous

would it be x = 7??

- Luigi0210

Yup, that's what x would be, now what you do is plug that back in to get the side lengths

- anonymous

Ok....one sec..

- anonymous

the side lengths would be 6 right? Thats what I got.

- anonymous

by the way i have one more question after this...

- Luigi0210

Yup, and alright shoot.

- anonymous

Determine if the two figures are congruent and explain your answer. If they are congruent, tell which rigid motions were used.

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- anonymous

Thats my last one.

- nincompoop

you have to identify each of the segment's coordinates first

- anonymous

Ok....so d = -2, 6 q = -4, 4 b = -3, 2 and a = -1, 1 Then for the second one h = 3, 5 g = 5, 3 f = 4, 1 e = 2, 0
now what?

- anonymous

Don't leave me!

- nincompoop

I am here. can you calculate the distance of each segments and see if anything matches from figure one (right side) and figure two (left side

- anonymous

What do you mean cauculate the distance?

- nincompoop

do you know the distance formula?

- nincompoop

if not, you can derive it from pythagorean theorem.

- anonymous

Ummm.... what? sorry but this is why I needed help I dont remember.

- anonymous

Wouldn't counting the spaces work?

- anonymous

like counting from point d to point a. you go one to the right and 5 down. If you do the same from point H to point E it works too.

- nincompoop

|dw:1377879469089:dw|

- nincompoop

of course that works, but you want to be able to show it mathematically right?

- anonymous

I guess so, but it just says determine if the figures are congruent and expalin how you did it.

- anonymous

I mean explain

- nincompoop

the explanation would be by means of mathematical procedure - by calculating each segment's length or what we normally refer to as distance.

- anonymous

Ok so I just do that for one side and then the corresponding side?

- anonymous

Or all of them?

- nincompoop

exactly. it's a long work, but you get to practice a lot by the end of it.

- nincompoop

you want to be able to do it strategically. look at the possible longest sides of each figure. calculate their distances and see if it matches.

- anonymous

ok, wait juuuuust a minute

- anonymous

ok, i did it for line DA and Line HE and Line DA came out to be sqrt(26) and Line HE was sqrt(10) so they aren't congruent?

- anonymous

Hello?

- nincompoop

are you sure? show me your calculation

- anonymous

d = sqrt (( -1 - -2) ^2 + (1 - 6)^2)
d = sqrt ((1)^2 + (-5)^2
d = 1 + 25
d = 26
That was line DA is that one right?

- nincompoop

|dw:1377880353324:dw|
|dw:1377880596464:dw||dw:1377880706364:dw|

- anonymous

OHHHHHHHH! I feel so stupid....I see it now...so they are congruent that much I understand, but I cannot figure out what transformations took place for that shape to get there... help me with that and I'll leave you alone ;)

- nincompoop

http://www.mathsisfun.com/geometry/transformations.html

- nincompoop

|dw:1377881059785:dw|

- anonymous

ambulance... and I didn't need a mirror:0

- anonymous

I thought refelction at first too, but it would have to be a combination of both translation and reflection since it isn't exactly a mirror image on the other side. it's touching the x axis whereas the other one isnt

- nincompoop

the instruction was important for you to followâ€¦ that's how you will make the connection between the word I gave you and the shapes you were given.

- anonymous

I get your point but read my previous post

- nincompoop

In Geometry, "Translation" simply means Moving ...
... without rotating, resizing or anything else, just moving.
http://www.mathsisfun.com/geometry/translation.html
you didn't read the contents of the first link I gave you - this http://www.mathsisfun.com/geometry/transformations.html

- anonymous

I did read it... but the reflection isn't and exact mirror image thats what i'm trying to say. If it was an exact mirror image, the only difference between the shapes would be the fact that the x coordinates would be the same numbers, just positive.

- anonymous

I'm not telling you you're wrong, I'm just voicing my opinion.

- nincompoop

http://www.mathsisfun.com/geometry/reflection.html

- anonymous

if you insist, Thanks a bunch!

- nincompoop

the reflection line can be at any direction

- anonymous

Ok thanks:) You helped a lot:) God bless.

- nincompoop

so you want to say it's a combination of reflection and transformation?

- nincompoop

I mean translation

- anonymous

I did, but I've already submitted my assignment. Thanks again!

- nincompoop

always trust your self and if it turns out wrong, then learn from it. that's what I do at least in math.

- anonymous

That's true...good words to live by:) Closing question.

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