Identify the Property which supports each Conclusion.

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Presentation transcript:

Identify the Property which supports each Conclusion

IF then

Symmetric Property of Congruence

Reflexive Property of Congruence

IF and then

Transitive Property of Congruence

If and then

Substitution Property of Equality

IF AB = CD Then AB + BC = BC + CD

Addition Property of Equality

If AB + BC= CE andCE = CD + DE then AB + BC = CD + DE

Transitive Property of Equality

If AC = BD then BD = AC.

Symmetric Property of Equality

If AB + AB = AC then 2AB = AC.

Distributive Property

Reflexive Property of Equality

If 2(AM)= 14 then AM=7

Division Property of Equality

If AB + BC = BC + CD then AB = CD.

Subtraction Property of Equality

If AB = 4 then 2(AB) = 8

Multiplication Property of Equality

Let’s see if you remember a few oldies but goodies...

If B is a point between A and C, then AB + BC = AC

The Segment Addition Postulate

If Y is a point in the interior of then

Angle Addition Postulate

IF M is the Midpoint of then

The Definition of Midpoint

IF bisects then

The Definition of an Angle Bisector

If AB = CD then

The Definition of Congruence

If then is a right angle.

The Definition of Right Angle

1 If is a right angle, then the lines are perpendicular.

The Definition of Perpendicular lines.

If Then

The Definition of Congruence

And now a few new ones...

If and are right angles, then

Theorem: All Right angles are congruent.

1 2 If and are congruent, then lines m and n are perpendicular. n m

Theorem: If 2 lines intersect to form congruent adjacent angles, then the lines are perpendicular.

If and are complementary, and and are complementary, then

Theorem: If 2 angles are complementary to the same angle, they are congruent to each other.

1 2 Then

The Linear Pair Postulate (The angles in a linear pair are supplementary.)

1 2 Then

Theorem: Vertical Angles are congruent.

The End