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ANGLES
A
B
C
Naming An Angle
5
There are four main types of angles.
Straight angle
180o
Right angle
90o
Acute angle
Less than 90o
Obtuse angle
More than 90o
A
B C
A
B C
A
B C
B
A C
Types Of Angles
Two angles that have the same measure are called congruent
angles.
Congruent angles have the same size and shape.
A
B
C
300
D
E
F
300
D
E
F
300
Congruent Angles
Adjacent Angles
Two angles that have a common vertex and a common ray
are called adjacent angles.
C
D
B
A
Common ray
Common vertex
Vertical Angles
Vertically opposite angles are pairs of angles formed by two
lines intersecting at a point.
A
D
B
C
P
Vertically opposite angles are congruent.
Complementary Angles add up to 900
600
A
B
C
300
D
E
F
Complimentary Angles
Supplementary angles add up to 1800
They will typically form a straight angle together
R
Q
P
A
B
C
1000
800
Supplementary Angles
A line that intersects two or more lines at different points is
called a transversal.
(transversal)
B
A
D
C
P
Q
G
F
Pairs Of Angles Formed by a Transversal
Corresponding Angles
Corresponding angles are angles in the same spot in both
lines
Corresponding pairs of angles are congruent.
GPB = PQE
GPA = PQD
BPQ = EQF
APQ = DQF
Line M
B
A
Line N
D E
L
P
Q
G
F
Line L
Alternate Interior Angles
Alternate interior angles are formed on opposite sides of the
transversal on the inside of the lines.
Line M
B
A
Line N
D E
L
P
Q
G
F
Line L
BPQ = DQP
APQ = EQP
Alternate interior angles are congruent.
Alternate Exterior Angles
Alternate exterior angles are formed on opposite sides of the
transversal and on the outside of the lines.
B
A
D E
L
P
Q
G
F
BPG = DQF
APG = EQF
Alternate exterior angles are congruent.

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Angles (1).ppt

  • 3. There are four main types of angles. Straight angle 180o Right angle 90o Acute angle Less than 90o Obtuse angle More than 90o A B C A B C A B C B A C Types Of Angles
  • 4. Two angles that have the same measure are called congruent angles. Congruent angles have the same size and shape. A B C 300 D E F 300 D E F 300 Congruent Angles
  • 5. Adjacent Angles Two angles that have a common vertex and a common ray are called adjacent angles. C D B A Common ray Common vertex
  • 6. Vertical Angles Vertically opposite angles are pairs of angles formed by two lines intersecting at a point. A D B C P Vertically opposite angles are congruent.
  • 7. Complementary Angles add up to 900 600 A B C 300 D E F Complimentary Angles
  • 8. Supplementary angles add up to 1800 They will typically form a straight angle together R Q P A B C 1000 800 Supplementary Angles
  • 9. A line that intersects two or more lines at different points is called a transversal. (transversal) B A D C P Q G F Pairs Of Angles Formed by a Transversal
  • 10. Corresponding Angles Corresponding angles are angles in the same spot in both lines Corresponding pairs of angles are congruent. GPB = PQE GPA = PQD BPQ = EQF APQ = DQF Line M B A Line N D E L P Q G F Line L
  • 11. Alternate Interior Angles Alternate interior angles are formed on opposite sides of the transversal on the inside of the lines. Line M B A Line N D E L P Q G F Line L BPQ = DQP APQ = EQP Alternate interior angles are congruent.
  • 12. Alternate Exterior Angles Alternate exterior angles are formed on opposite sides of the transversal and on the outside of the lines. B A D E L P Q G F BPG = DQF APG = EQF Alternate exterior angles are congruent.