Help with math proofs PLEASE?!?!?!?!?

Question

Can someone email me/answer on here how to do a math proof involving triangles? I got lost in class and home isn't any better! Hopefully there is someone out there who can tell me how to do these better than the teacher is?

As if you couldnt tell from the title with all capital please, yes i am desperately in need of help, there is a test on doing proofs tomorrow and I HAVE NO IDEA AT ALL!!!

i would type the givens and what i am proving, but it is all in form of pictures, directions only say "name the pair of corresponding angles that would have to be proved congruent (in addition to those pairs marked congruent) in order to prove that the triangles are congruent by s.a.s. is congruent to s.a.s."

Please and thanks for good information!

not sure if this will help at all but this is the one i am stuck on the worst

C
/ | \
/ | \
/ | \
/ X \
/ | \
/-----|-----\
A D B

The X signifies the segment is congruent to itself according to the reflexive property of congruence.

ok well that little drawing up there didnt come out right so unless you can understand it somehow then just ignore it
=\

Answer 1

Draw a triangle ABC. Next to it draw a triangle that loooks just like triangle ABC and call it DEF.

Now if you are told that AB=DE, and AC=DF, then the angle A must = the angle D to make the triangles congruent by SAS. This is because you now have two sides and the angle they include of one triangle equal to two sides and the angle they include of the the other triangle. That's what ASA means

SSS means two triangles are congruent if the sides of one equal the sides of the other.

ASA mmeans two triangles are congruent if two angles and the side they include of one are equal to two angles and the side the include side of the other.

So just look at the informatin given to you and the ask yourself what must also be equal in the two triangles in order to get SSS or ASA or SAS.

Answer 2

i wish i could see the picture, but i can address the general ideas anyway.

triangles that are congruent are exactly the same. let's say triangle A and triangle B are congruent. this means that the legs of triangle B are measure the same length as the legs of triangle A. also, the angles in A and B are the same..

now, if it can be shown that a combination of 3 measurements of triangle A are the same as 3 similar measurements of triangle B, then A and B are congruent. these combinations are:
3 legs (side-side-side or sss)
3 angles (angle-angle-angle or aaa)
an angle, a side and an angle (asa)
a side, an angle and a side (sas)

the advantage of this is that the remaining measurements of each triangle do not have to be proven to be the same. it is sufficient to prove one of the above combinations is true.

i hope this helps

now you have added the example. good. you are given that the line CD is congruent to itself. since you are trying to prove congruency by asa, the angles on each end of line CD. specifically, angles CDA and CDB, and angles DCA and DCB

Answer 3

i am willing to help but where can I start from?