Download Transitive and Algebra Proofs Worksheet

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Geometry
Date: _______________________Hour: _____
Transitive and Algebra Proofs Worksheet
Multiple Choice: Choose the justification which allows you to make the given conclusion.
1) If EF  AB , and AB  XY , then EF  XY
a) Reflexive Property
c) Definition of Midpoint
2) XYZ  ZYX
a) Reflexive Property
c) Definition of Midpoint
3) If H is the midpoint of DU, then DH  HU
a) Symmetric Property
c) Definition of Bisector
4) If 4 and 7 are vertical angles, then 4  7
a) Definition of Vertical Angles
c) Angle Addition Postulate
5) If PQ + PT = 25, and PT = AB, then PQ + AB = 25
a) Definition of Midpoint
c) Substitution Property
b) Transitive Property
d) Symmetric Property
b) Transitive Property
d) Symmetric Property
b) Definition of Midpoint
d) Segment Addition Postulate
b) Vertical Angles Theorem
d) Definition of Angle Bisector
b) Segment Addition Property
d) Addition Property
6) If RZ is the bisector of XRT , then XRZ  ZRT .
a) Definition of Angle Bisector
b) Reflexive Property
c) Definition of Midpoint
d) Angle Addition Property
7) Given: 5x  2 
3
5
5  10 x
Prove: x  7
Statements
Reasons
8) Given: 5.4x  14.6  10.1x  12.8  3.5x  0.6
Statements
9) Given: 16 x  45x  7  4
10) Given:
1
3
24 x  66  3x  43
Prove: x  2
Reasons
Prove: x  6
Prove: x  13