Question

Can someone help me understand the following theorems?
HL, ASA,SAS,SSS, and AAS

Answer 1

this page gives you ALL you need to know about congruent triangles:

http://www.mathsisfun.com/geometry/triangles-congruent-finding.html

Answer 2

I wanted someone to explain to me and be more interactive so that I understand it.

Answer 3

Searching these up on Google helps a lot too - add "proofs" at the end of each theorem and they give you a lot of examples to look at. c:

Answer 4

Any one explaining it will need to refer to or redraw exactly what is drawn on that page.

Basically the theorems show why you can deduce that two triangles are congruent given the 3 bits of information:

Answer 5

HL is a bit of a cheat - because it only refers to right angled triangles - so it is really a special case of SAS

Answer 6

Alright i get it a bit more :) i'll study the link you gave thanks by the way you are a great help =)

Answer 7

Okay.

Answer 8

So ASA stands for Angle, Side, Angle.

Answer 9

I DO normally try to explain a bit more - but that page summarises exactly what I would have said...

Answer 10

This means that we know two angles and a side between the angles.

Answer 11

This relates to the rest of them as we'll...

Answer 12

Got it thanks all. :)

Answer 13

Like SAS... this stands for Side, Angle, Side.... this means that when we know two sides and the angle between them.

Answer 14

Oh sure!

Answer 15

Bye now! :)

Answer 16

@pooja195, is there anything in particular you're struggling with regarding these theorems? As @MrNood said, it's hard to explain any better than the pictures. If someone were to ask you to draw a triangle congruent to a given one, each of the theorems are the different ways you could do it - with the least information possible. It's one of those things that's quite hard to explain but you'll kick yourself when you realise how simple it actually is.

Answer 17

you are seeing the hand drawings by a person who actualy took 1 year in art class