Question

HELPP PLEEASEE
1. State the FIVE shortcuts for proving triangles are congruent.

2. Write the definition for each.

3. Draw an example pair of triangles that are congruent using that specific shortcut.

Answer 1

Are you learning things such as AAA, ASA CPCTC etc?

Answer 2

yess

Answer 3

ASA=Angle Side Angle SSA=Side Side Angle AAA= angle angle angle. AAS=angle angle side. is that helpful any? I cant remember what cpctc stands for

Answer 4

yess that does help a lot c:

Answer 5

you forgot SAS = side angle side
cpctc = Corresponding parts of congruent triangles are congruent

Answer 6

aww man. I knew I was missing one

Answer 7

RyGuy some of those don't necessarily prove congruency.
SSS
SAS
ASA
are three that hold true in every case

Answer 8

now im confused

Answer 9

does anybody remember the one that starts with an H?

Answer 10

Hypoteneuse leg

Answer 11

It's SSS, ASA, SAS, AAS, HL, CPCTC

Answer 12

those are the 5 short cuts?

Answer 13

AAS is still ASA because if you know 2 angles you can easily determine the 3rd.

Answer 14

SSS = three sides are congruent, so the triangles are congruent
ASA = Two angles and a side are congruent, so the triangles are congruent
SAS = Two sides and an angle are congruent thus the triangles are congruent
HL means that a if the hypoteneuse and leg are congruent, it is congruent (two right triangles only)
CPCTC if two triangles are congruent by AAS, then all other sides are congruent as well.

Answer 15

HL that's what it was. thanks :P

Answer 16

But HL only applies to a right triangle

Answer 17

As far as I know there are only 3 theorems that prove congruency for all triangles
SAS
ASA
SSS

Answer 18

the teacher said there was 5 >.<

Answer 19

Well there may be 2 I don't know.
I think Wikipedia has a good page on this.
I'll get the link.

Answer 20

okay thankyou c:

Answer 21

Here's what wikipedia says:
http://en.wikipedia.org/wiki/Congruence_(geometry)

Answer 22

thankyouu!!