Identify the Property which supports each Conclusion

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Identify the Property which supports each
Conclusion
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IF then
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Symmetric Property of Congruence
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Reflexive Property of Congruence
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IF and then
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Transitive Property of Congruence
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If
and
then
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Substitution Property of Equality
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IF AB CD Then AB BC BC CD
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Addition Property of Equality
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If AB BC CE and CE CD DE then AB
BC CD DE
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Transitive Property of Equality
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If AC BD then BD AC.
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Symmetric Property of Equality
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If AB AB AC then 2AB AC.
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Distributive Property
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Reflexive Property of Equality
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If 2(AM) 14 then AM7
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Division Property of Equality
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If AB BC BC CD then AB CD.
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Subtraction Property of Equality
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If AB 4 then 2(AB) 8
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Multiplication Property of Equality
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Lets see if you remember a few oldies but
goodies...
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If B is a point between A and C, then AB BC
AC
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The Segment Addition Postulate
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If Y is a point in the interior of then
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Angle Addition Postulate
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IF M is the Midpoint of then
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The Definition of Midpoint
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IF bisects then
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The Definition of an Angle Bisector
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If AB CD then
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The Definition of Congruence
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If then is a right angle.
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The Definition of Right Angle
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If is a right angle, then the lines are
perpendicular.
1
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The Definition of Perpendicular lines.
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If Then
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The Definition of Congruence
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And now a few new ones...
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If and are right angles, then
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Theorem All Right angles are congruent.
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2
1
n
m
If and are congruent, then lines m
and n are perpendicular.
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Theorem If 2 lines intersect to form congruent
adjacent angles, then the lines are perpendicular.
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If and are complementary, and
and are complementary,
then
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Theorem If 2 angles are complementary to the
same angle, they are congruent to each other.
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2
1
Then
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The Linear Pair Postulate (The angles in a
linear pair are supplementary.)
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Then
2
1
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Theorem Vertical Angles are congruent.
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The End