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35
Identify the Property which supports each Conclusion.
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Presentation on theme: "Identify the Property which supports each Conclusion."— Presentation transcript:
1 Identify the Property which supports each Conclusion
2 IF then
3 Symmetric Property of Congruence
5 Reflexive Property of Congruence
6 IF and then
7 Transitive Property of Congruence
8 If and then
9 Substitution Property of Equality
10 IF AB = CD Then AB + BC = BC + CD
11 Addition Property of Equality
12 If AB + BC= CE andCE = CD + DE then AB + BC = CD + DE
13 Transitive Property of Equality
14 If AC = BD then BD = AC.
15 Symmetric Property of Equality
16 If AB + AB = AC then 2AB = AC.
17 Distributive Property
19 Reflexive Property of Equality
20 If 2(AM)= 14 then AM=7
21 Division Property of Equality
22 If AB + BC = BC + CD then AB = CD.
23 Subtraction Property of Equality
24 If AB = 4 then 2(AB) = 8
25 Multiplication Property of Equality
26 Let’s see if you remember a few oldies but goodies...
27 If B is a point between A and C, then AB + BC = AC
28 The Segment Addition Postulate
29 If Y is a point in the interior of then
30 Angle Addition Postulate
31 IF M is the Midpoint of then
32 The Definition of Midpoint
33 IF bisects then
34 The Definition of an Angle Bisector
35 If AB = CD then
36 The Definition of Congruence
37 If then is a right angle.
38 The Definition of Right Angle
39 1 If is a right angle, then the lines are perpendicular.
40 The Definition of Perpendicular lines.
41 If Then
42 The Definition of Congruence
43 And now a few new ones...
44 If and are right angles, then
45 Theorem: All Right angles are congruent.
46 1 2 If and are congruent, then lines m and n are perpendicular. n m
47 Theorem: If 2 lines intersect to form congruent adjacent angles, then the lines are perpendicular.
48 If and are complementary, and and are complementary, then
49 Theorem: If 2 angles are complementary to the same angle, they are congruent to each other.
50 1 2 Then
51 The Linear Pair Postulate (The angles in a linear pair are supplementary.)
52 1 2 Then
53 Theorem: Vertical Angles are congruent.
56 The End
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