Download Given: ADB and CDB ∠ ∠ AD CD ≅

Name_____________________________________________________ Geometry
Unit 4 Worksheet 9 CPCTC Worksheet
1)
What does CPCTC stand for? What must you prove first before you can use CPCTC?
For #2-4, give the reason the triangles are congruent. The give the reason you can prove the other parts of the triangle
congruent.
2)
3)
4)
ABD  CBD by ______________
HGJ  EGF by ______________
MHA TAH by ______________
A  C by _________________
H  E by __________________
MAH  THA by _____________
5)
Given:
ADB and
CDB are right angles
D is the midpoint of AC
Prove:
STATEMENTS
REASONS
1.
1.
2.
2.
3.
AD  CD
3.
4.
ADB  CDB
4.
5.
5.
Reflexive
6.
6.
SAS
7.
7.
6)
Given: N  L, and
Prove: J  M
STATEMENTS
REASONS
1.
1.
2.
2.
3.
3.
4.
JKN  MKL
4.
5.
J  M
5.
7)
Given:
Vertical Angles are congruent
BC  EC , and BCD  ECD
Prove: BD  ED
STATEMENTS
REASONS
1.
1.
2.
2.
3.
3.
4.
BCD  ECD
4.
5.
BD  ED
5.
Reflexive