THE

1
THE GEOMETRY SOLs
( in review )
Use the arrow keys ? ? to move forward or
backward.
2
Conditional Statements If p then q.
Converse
Inverse
Contrapositive
The Law of Syllogism

3
Conditional Statements If p then q.
Converse
If q then p.
Inverse
Contrapositive
The Law of Syllogism

4
Conditional Statements If p then q.
Converse
If q then p.
Inverse
If - p then - q.
Contrapositive
The Law of Syllogism

5
Conditional Statements If p then q.
Converse
If q then p.
Inverse
If - p then - q.
Contrapositive
If - q then - p.
The Law of Syllogism

6
Conditional Statements If p then q.
Converse
If q then p.
Inverse
If - p then - q.
Contrapositive
If - q then - p.
The Law of Syllogism
The Transitive Property

7
for two points (X1 , Y1 ) and ( X2 , Y2 )
Formulas
Slope
Midpoint
Distance
8
for two points (X1 , Y1 ) and ( X2 , Y2 )
Formulas
Slope
Midpoint
Distance
9
for two points (X1 , Y1 ) and ( X2 , Y2 )
Formulas
Slope
Midpoint
Distance
10
for two points (X1 , Y1 ) and ( X2 , Y2 )
Formulas
Slope
Midpoint
Distance
11
Parallel Lines and Angles
12
Parallel Lines and Angles
Corresponding Angles are . . .
13
Parallel Lines and Angles
Corresponding Angles are . . .
14
Parallel Lines and Angles
Corresponding Angles are . . .
Name them !
15
Parallel Lines and Angles
Corresponding Angles are . . .
Name them !
16
Parallel Lines and Angles
Alternate Interior Angles are . . .
17
Parallel Lines and Angles
Alternate Interior Angles are . . .
18
Parallel Lines and Angles
Alternate Interior Angles are . . .
Name them !
19
Parallel Lines and Angles
Alternate Interior Angles are . . .
Name them !
20
Parallel Lines and Angles
Consecutive Interior Angles are . . .
21
Parallel Lines and Angles
Consecutive Interior Angles are . . .
Supplementary
22
Parallel Lines and Angles
Consecutive Interior Angles are . . .
Supplementary
Name them !
23
Parallel Lines and Angles
Consecutive Interior Angles are . . .
Supplementary
Name them !
24
Proving ?s Congruent
25
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
26
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
27
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
the reflexive side
28
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
29
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
30
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
alt. int. angles /reflexive side
31
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
32
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
33
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
the reflexive side
34
Proving ?s Congruent
Choose a Method to Prove
?ABC ?DEC
SSS
SAS
ASA
AAS
HL
35
Proving ?s Congruent
Choose a Method to Prove
?ABC ?DEC
SSS
SAS
ASA
AAS
HL
36
Proving ?s Congruent
Choose a Method to Prove
?ABC ?DEC
SSS
SAS
ASA
AAS
HL
vertical angles
37
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
38
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
39
Proving ?s Congruent
Choose a Method to Prove
?ABD ?CDB
SSS
SAS
ASA
AAS
HL
alt. int. angles /reflexive side
40
Angles of Regular Polygons
?
41
Angles of Regular Polygons
?
42
Angles of Regular Polygons
?
360
The answer for all polygons
43
Angles of Regular Polygons
?
44
Angles of Regular Polygons
?
360
360
n
6
45
Angles of Regular Polygons
?
60
46
Angles of Regular Polygons
?
60 ? 180
(Linear Pair of Angles)
60
47
Angles of Regular Polygons
?
120
48
Angles of Regular Polygons
?
(6)(120)
120
(n)(120)
49
Angles of Regular Polygons
(6)(120)
120
(n)(120)
50
Similar Triangles
51
Similar Triangles
52
Similar Triangles
or 21
53
Similar Triangles
?ABC ? _ _ _

54
Similar Triangles
E D C
?ABC ? _ _ _

55
Similar Triangles
E D C
?ABC ? _ _ _

Why are the triangles similar?
56
Similar Triangles
E D C
?ABC ? _ _ _

Why are the triangles similar?
AA Similarity
57
Similar Triangles
E D C
?ABC ? _ _ _

If AB 8, AC 5, BC 7, CD 18 then find DE.
18
x
5
8
7
58
Similar Triangles
E D C
?ABC ? _ _ _

If AB 8, AC 5, BC 7, CD 18 then find DE.
18
AB
BC

x
5
DC
DE
8
7
59
Similar Triangles
E D C
?ABC ? _ _ _

If AB 8, AC 5, BC 7, CD 18 then find DE.
18
8
7

x
5
18
x
8
7
60
Similar Triangles
E D C
?ABC ? _ _ _

If AB 8, AC 5, BC 7, CD 18 then find DE.
18
8
7

x
5
18
x
(8)(18) (7)(x)
8
cross multiply
7
61
Similar Triangles
E D C
?ABC ? _ _ _

If AB 8, AC 5, BC 7, CD 18 then find DE.
18
8
7

x
5
18
x
(8)(18) (7)(x)
8
cross multiply
7
20.57 x
62
Right Triangles
63
Right Triangles
Pythagorean Thm.
Special Right Triangles
Trig.
64
Right Triangles
Pythagorean Thm.
What is the formula?
c
a
b
65
Right Triangles
Pythagorean Thm.
c
a
b
66
Right Triangles
Special Right Triangles
67
Right Triangles
Special Right Triangles
45-45-90
30-60-90
45
30
45
60
68
Right Triangles
Special Right Triangles
45-45-90
30-60-90
45
30
45
60
Whats the pattern ?
69
Right Triangles
Special Right Triangles
45-45-90
30-60-90
2x
45
30
45
60
x
Whats the pattern ?
70
Right Triangles
Special Right Triangles
45-45-90
30-60-90
2x
45
30
45
60
x
Whats the pattern ?
71
Right Triangles
Special Right Triangles
45-45-90
30-60-90
2x
45
30
x
45
60
x
x
Whats the pattern ?
72
Right Triangles
Trigonometry
73
Right Triangles
Trigonometry
Angle of Perspective
How are the sides labeled ?
74
Right Triangles
Trigonometry
Hyp.
Opp.
Adj.
Angle of Perspective
75
Right Triangles
Trigonometry
Hyp.
Opp.
Adj.
Angle of Perspective
What are the 3 Trig. Ratios ?
76
Right Triangles
Trigonometry
Hyp.
Opp.
Adj.
Angle of Perspective
77
Circle Formulas
Segments
Angles
78
Circle Formulas
Angles
Name the type of angle .
79
Circle Formulas
Angles
Name the type of angle .
80
Circle Formulas
Angles
What is the formula?
81
Circle Formulas
Angles
What is the formula?
82
Circle Formulas
Angles
Name the type of angle .
83
Circle Formulas
Angles
Name the type of angle .
84
Circle Formulas
Angles
What is the formula?
85
Circle Formulas
Angles
What is the formula?
86
Circle Formulas
Name the type of angle .
87
Circle Formulas
Name the type of angle .
88
Circle Formulas
What is the formula?
89
Circle Formulas
What is the formula?
90
Circle Formulas
Name the type of angle .
91
Circle Formulas
Name the type of angle .
92
Circle Formulas
What is the formula?
93
Circle Formulas
What is the formula?
94
Circle Formulas
What is the formula?
Intersecting Chords
95
Circle Formulas
What is the formula?
Intersecting Chords
96
Circle Formulas
What is the formula?
Intersecting Secants
97
Circle Formulas
What is the formula?
Intersecting Secants
or