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Line- a straight path that goes in
two directions without ending.
A B
AB Read: “Line AB”
A ray has one end point and goes
on forever in only one direction.
CD Read: “Ray CD”
C D
We name ray by its endpoint and one of its points. Naming
a ray will always start on the endpoint.
A line segment has two endpoints.
EF
Read:
“Line Segment EF”
E F
section 1-4
4
THE BASICS
section 1-4
5
Angle Parts
• An angle is a figure formed by
two rays with the same
endpoint.
• The common endpoint is
called the vertex of the angle.
• Each of the rays is a side of
the angle.
6
Vertex
Naming the Angle
• An Angle can be named in
one of three ways
• A number assigned to it
• It can be named after its
vertex (if there is only one
angle at that point)
• Using three points on the
angle (one from each side,
and the middle vertex)
section 1-4
7
1
G
D
B
O
∠1
∠B
∠DOG
∠GOD
Give four names for each
angle
1.) 2.)
section 1-4
8
A T
P
1
B I
F
3
**note: the numbers here are used to name the angle. If it were
meant to show the measure, it would have a degree symbol.
∠PAT ∠A ∠1 ∠TAP ∠IBF
∠B
∠3
∠FBI
Measure of an Angle
• An angle is measured in
units called degrees.
• The more the two rays are
separated from each other,
the greater the angle will
be.
• to describe the measure of
an angle we would say:
m∠1=22°
section 1-4
9
22°
41°
76°
120°
Types of Angles
• Angles are classified
by their measure
• Acute angles are less
than 90°
• Obtuse angles are
greater than 90°
• Right angles are exactly
90°
• Straight angles are 180°
10
Types of Angles
section 1-4
11
Acute angle
Obtuse angle
Right angle
Fill in the blanks using the figures.
•m∠BAC = ______
•Two names for
the obtuse angle
are ______ and
______.
section 1-4
12
F
E
H
110°
A
D
C
B
60°
20°
J
K
I
18°
60°
∠GFE
∠F 5
Fill in the blanks using the figures.
• ________ = 18°
• Two other names for
<H are ______ and
_______
• m∠DAC = _______
section 1-4
13
H
A
D
C
B
60°
20°
K
m∠I
∠5
∠ JHK
80°
section 1-4
14
15
Determine the measurement of the following
angles and classify if they are acute, right, or
obtuse angle.
1.∠ROP 6. ∠TOS
2.∠POQ 7. ∠SOR
3.∠QOS 8. ∠UOQ
4.∠ROU 9. ∠SOU
5.∠TOP 10. ∠POR

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Angles.pptx

  • 1. Line- a straight path that goes in two directions without ending. A B AB Read: “Line AB”
  • 2. A ray has one end point and goes on forever in only one direction. CD Read: “Ray CD” C D We name ray by its endpoint and one of its points. Naming a ray will always start on the endpoint.
  • 3. A line segment has two endpoints. EF Read: “Line Segment EF” E F
  • 6. Angle Parts • An angle is a figure formed by two rays with the same endpoint. • The common endpoint is called the vertex of the angle. • Each of the rays is a side of the angle. 6 Vertex
  • 7. Naming the Angle • An Angle can be named in one of three ways • A number assigned to it • It can be named after its vertex (if there is only one angle at that point) • Using three points on the angle (one from each side, and the middle vertex) section 1-4 7 1 G D B O ∠1 ∠B ∠DOG ∠GOD
  • 8. Give four names for each angle 1.) 2.) section 1-4 8 A T P 1 B I F 3 **note: the numbers here are used to name the angle. If it were meant to show the measure, it would have a degree symbol. ∠PAT ∠A ∠1 ∠TAP ∠IBF ∠B ∠3 ∠FBI
  • 9. Measure of an Angle • An angle is measured in units called degrees. • The more the two rays are separated from each other, the greater the angle will be. • to describe the measure of an angle we would say: m∠1=22° section 1-4 9 22° 41° 76° 120°
  • 10. Types of Angles • Angles are classified by their measure • Acute angles are less than 90° • Obtuse angles are greater than 90° • Right angles are exactly 90° • Straight angles are 180° 10
  • 11. Types of Angles section 1-4 11 Acute angle Obtuse angle Right angle
  • 12. Fill in the blanks using the figures. •m∠BAC = ______ •Two names for the obtuse angle are ______ and ______. section 1-4 12 F E H 110° A D C B 60° 20° J K I 18° 60° ∠GFE ∠F 5
  • 13. Fill in the blanks using the figures. • ________ = 18° • Two other names for <H are ______ and _______ • m∠DAC = _______ section 1-4 13 H A D C B 60° 20° K m∠I ∠5 ∠ JHK 80°
  • 15. 15 Determine the measurement of the following angles and classify if they are acute, right, or obtuse angle. 1.∠ROP 6. ∠TOS 2.∠POQ 7. ∠SOR 3.∠QOS 8. ∠UOQ 4.∠ROU 9. ∠SOU 5.∠TOP 10. ∠POR