Download presentation
Presentation is loading. Please wait.
Published byShanon Owens Modified over 9 years ago
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
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.