1. I .Complete the Following Proof (6 steps, Statement 4 has two parts)
Geometry/Trig HW # Name __________________________
I .Complete the Following Proof (6 steps, Statement 4 has two parts)
II. Fill in the missing pieces of the proof.
Given: MA = TH Prove: MT = AH M A T H
Statements Reasons
1. ___________________________ 1. _________________________
2. ___________________________ Reflexive Property
MA + AT = TH + AT 3. _________________________
____ + ____ = MT 4. _________________________
____ + ____ = AH
5. ___________________________ 5. _________________________

2. A B X C F M D Geometry/Trig 2 Unit 2 Quiz Page 2
II. Fill in the missing pieces of the proof.
Given: m1 = m4
Prove: m2 = m3
Statements Reasons
1. ____________________________ 1. _________________________
m______ + m______ = Angle Addition Postulate
m______ + m______ = 180
3. ____________________________ 3. _________________________
m2 = m _________________________
III. Match the statement with its corresponding reason.
Statements:
______1. If M is the midpoint of DF, then
DM = MF.
______2. If M is the midpoint of DF, then
DM = ½DF.
______3. If BX is an angle bisector of
ÐABC, then mÐABX = mÐXBC.
______4. If BX is an angle bisector of
ÐABC, then mÐABX = ½mÐABC
______5. DM + MF = DF.
______6. mÐABX + mÐXBC = mÐABC.
Reasons:
A. Segment bisector theorem
B. Midpoint theorem
C. Angle bisector theorem
D. Segment addition postulate
E. Angle addition postulate
F. Definition of a segment bisector
G. Definition of a midpoint
H. Definition of an angle bisector A B X C F M D