Download Honros Geometry: One Step Congruence Proofs

Geometry
Name: _______________________________
2.6 – Worksheet Part II
Date: _________________Hour: __________
In 1-7, 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 Midpoint
b) Transitive Property
d) Symmetric Property
2) XYZ  ZYX
a) Reflexive Property
c) Definition Midpoint
b) Transitive Property
d) Symmetric Property
3) If H is the midpoint of DU, then DH  HU
a) Segment Congruence Theorem
c) CPCF
b) Definition of Midpoint
d) Definition of Congruence
4) If 4 and 7 are vertical angles, then 4  7
a) Definition of Vertical Angles
b) Vertical Angles Theorem
c) Angle Congruence Theorem
d) Definition of Congruence
5) If PQ + PT = 25, and PQ = AB, then PQ + AB = 25
a) Transitive Property
c) Substitution Property
b) Segment Addition Property
d) Addition Property
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6) If RZ is the bisector of XRT , then XRZ  ZRT .
a) Definition of angle bisector
b) Corresponding Angles Postulate
c) CPCF
d) Angle Congruence Theorem
Geometry: Transitive Proofs
Directions: Use the given information to complete each proof.
1) Given: 1  A
Prove: 2  A
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Reasons
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2) Given: SR bisects PSQ and SQ bisects RSF
Prove: PSR  FSQ
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3) Given: B is the midpoint of AC and C is the midpoint of BD .
Prove: AB  CD
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4) Given: B and C are on circle Q and C is the midpoint of
Prove: BQ  EC
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