Geometry Help Please
[url=http://i.imgur.com/DdckKyt.jpg?1]http://i.imgur.com/DdckKyt.jpg?1[/url]
Can someone help me with number 22?
"The diagram shows three squares and an equilateral triangle.
Prove: AE = FC = ND"
It would be easy if I could use the definition of squares, but I can't because it wasn't introduced in my geo class yet, thus I can't use it.
Any tips would be appreciated
October 27, 2013
4 Comments • Newest first
I don't think it's actually possible in that case.
If squares are "an unknown figure" then there's no real way of figuring it out...
^Thank you for trying to help, but sadly I can't use that
As I stated, I can't use anything my teacher hasn't introduced in class yet (this includes the definition of a square, meaning squares have congruent sides, have 90 degree angles, etc) The only shape that I can use so far is a triangle
Forgot exact step for proofs, but it's gonna be something along the lines of:
You have to see the three triangles formed. ADE, FEC, and CDN.
Equilateral triangle/square shows two out of three sides of each of the above triangles are congruent.
At this point, you put that Angles ADE, FEC, and DCN are equal, since 90 degrees per angle of square + the 60 degrees from equilateral triangle.
So, using SAS (side-angle-side), the triangles ADE = FEC = CDN.
The triangles are equal, so the equivalent sides are also equal.
I'm almost absolutely certain that's it, but it's been awhile since geometry. In any case, you're gonna need another way to word it, cause I'm sure that above explanation is not proper for proofs.
its easy but im too lazy & sleepy sorry hope someone else help u