Download 4 - msmatthewsschs

GEOMETRY CP
4.6 Using Congruent Triangles
Given:
AC bisects BCD
Prove:
AC bisects BAD
ACD  ACB
NAME: _____________________________
BLK: _____ DATE: ___________________
Statements
Reasons
Now that we know the two triangles are congruent, what else can we say?
__________________________________________________________________________________________
CPCTC
________________ ________ ___ ______________ _________________
_______ ______________.
Given:
C is the midpoint of AD and EB
Prove:
ED  BA
Statements
Reasons
Given:
Prove:
D bisects AC
BD  AC
AB  CB
Statements
Reasons
Tell which triangles you can show are congruent in order to prove the statement. What postulate or theorem
would you use?
RT  LN
EF  KJ
XY  ZW
C  F
Hints on Proofs

If two triangles share a side, then you will probably use the ______________ property.

If you have vertical angles, you will probably use __________ ______ in the proof.

If you are given “midpoint” or “bisects”, then WILL use __________________, __________________, or
__________________ in the proof.

If you are given parallel lines, then you will probably use _______________ _________ angles.

If you are parts of a triangle are congruent, then the proof will end with ____________.
Ways to Prove Triangles are Congruent