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Lesson 1-4Angle Measure
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Ohio Content Standards:Ohio Content Standards:
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Ohio Content Standards:Ohio Content Standards:
• Formally define geometric figures.
• Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines.
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Vocabulary:Vocabulary:
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Vocabulary:Vocabulary:• Degree -Degree -
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Vocabulary:Vocabulary:• Degree –Degree –
• A unit of measure used in measuring angles and arcs.
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Vocabulary:Vocabulary:• Ray –Ray –
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Vocabulary:Vocabulary:• Ray –Ray –
• Part of a line that has one endpoint and extends indefinitely in one direction.
A B
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Vocabulary:Vocabulary:• Opposite Opposite
Rays –Rays –
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Vocabulary:Vocabulary:• Opposite Opposite
Rays –Rays –• Two rays BA and BC
such that B is between A and C.
B CA
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Vocabulary:Vocabulary:• Angle –Angle –
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Vocabulary:Vocabulary:• Angle –Angle –
• Formed by two noncollinear rays that have a common endpoint.
B
4A
C
Side AB
Side AC
Vertex A
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Vocabulary:Vocabulary:• Sides –Sides –
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Vocabulary:Vocabulary:• Sides –Sides –
• The two noncollinear rays that form an angle.
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Vocabulary:Vocabulary:• Vertex –Vertex –
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Vocabulary:Vocabulary:• Vertex –Vertex –
• The common endpoint of the two noncollinear rays that form an angle.
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Vocabulary:Vocabulary:• Interior –Interior –
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Vocabulary:Vocabulary:• Interior –Interior –
• A point that lies on the inside of an angle.
D
Point D is in the interior of the angle
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Vocabulary:Vocabulary:• Exterior –Exterior –
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Vocabulary:Vocabulary:• Exterior –Exterior –
• A point that lies on the outside of an angle.
E
Point E lies in the exterior of the angle
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G
F
E
D
BA
65
43
• Name all angles that have B as a vertex.
• Name the sides of 5.
• Write another name for 6.
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G
F
E
D
BA
65
43
• Name all angles that have B as a vertex.
• Name the sides of 5.
• Write another name for 6.
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G
F
E
D
BA
65
43
• Name all angles that have B as a vertex.
• Name the sides of 5.
• Write another name for 6.
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Vocabulary:Vocabulary:
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Vocabulary:Vocabulary:• Right Angle –Right Angle –
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Vocabulary:Vocabulary:• Right Angle –Right Angle –
• An angle that measures exactly 90°.
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Vocabulary:Vocabulary:• Acute Angle –Acute Angle –
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Vocabulary:Vocabulary:• Acute Angle –Acute Angle –
• An angle that measures less than 90°.
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Vocabulary:Vocabulary:• Obtuse Angle –Obtuse Angle –
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Vocabulary:Vocabulary:• Obtuse Angle –Obtuse Angle –
• An angle that measures between 90° and 180°.
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Vocabulary:Vocabulary:• Angle Angle
Bisector –Bisector –
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Vocabulary:Vocabulary:• Angle Angle
Bisector –Bisector –• A ray that divides an
angle into two congruent angles.
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Classify each angle named as right, acute, or obtuse.
YX
W
VU
T
S
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Classify each angle named as right, acute, or obtuse.
TYV a)
YX
W
VU
T
S
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Classify each angle named as right, acute, or obtuse.
TYV a)
WYT b)YX
W
VU
T
S
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Classify each angle named as right, acute, or obtuse.
TYV a)
WYT b)YX
W
VU
T
S
TYU c)
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Wall stickers of standard shapes are often used to provide a stimulating environment for a young child’s room. A five-pointed star sticker is shown with vertices labeled. Find
K
J
I
HG
ED
C
B
A
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Assignment:
Pgs. 34 - 36 12-36 all, 52-60 all