Download - ANGLE
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ANGLE
•A FIGURE FORMED BY TWO NONCOLLINEAR RAYS WITH A COMMON ENDPOINT.
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ANGLE•The TWO NONCOLLINEAR RAYS (ray BP & ray BC) are the SIDES of an angle.
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ANGLE•The point where the rays intersect is called the VERTEX of an angle.
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ANGLE MNEMONIC•S- Sides are 2 non-collinear rays.•E- Endpoint is also called vertex. •R- Rays are the 2 sides.•V- Vertex is the common
endpoint.
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AN ANGLE SEPARATES A PLANE INTO 3 PARTS
• INTERIOR ANGLE- point D•EXTERIOR ANGLE – point H•THE ANGLE ITSELF
P, A, W,C●H
●D
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EXAMPLES
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An angle is named by:An angle is named by:
1.USING 3 POINTS.EXAMPLE:ABC
orCBAPBW or WBP
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2. BY THE VERTEX ALONE.
EXAMPLE:
B
An angle is named by:An angle is named by:
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3. BY USING A NUMERAL.
EXAMPLE:
11 1
An angle is named by:An angle is named by:
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EXERCISESEXERCISES
3
2
1
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NAME THE ANGLES USING NAME THE ANGLES USING 3 POINTS3 POINTS
32
1
NAME THE ANGLES USING NAME THE ANGLES USING A NUMERALA NUMERAL
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ANOTHER NAME OF ANOTHER NAME OF ANGLE 1.ANGLE 1.
AP
3
2
1
WHAT ARE THE SIDES OF WHAT ARE THE SIDES OF ANGLE 3.ANGLE 3.
B or B or ABWABW
PBC or PBC or ABCABC
Segment Segment AC and AC and ray APray AP
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WHAT IS THE COMMON WHAT IS THE COMMON SIDE OF SIDE OF 2 AND 2 AND 3?3?
3
2
1
Segment Segment ACAC
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EXAMPLE 5 Name angles
Name the three angles in the diagram.
WXY, or YXW
YXZ, or ZXY
WXZ, or ZXW
You should not name any of these angles X because all three angles have X as their vertex.
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Degrees: Measuring AnglesDegrees: Measuring AnglesAngles are measured in Angles are measured in units called units called DEGREESDEGREES and and classified according to their classified according to their measures.measures.
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Acute AnglesAcute Anglesan angle measuring an angle measuring between 0 and 90 degreesbetween 0 and 90 degrees
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Obtuse AnglesObtuse Anglesan angle measuring an angle measuring between 90 and 180 between 90 and 180 degreesdegrees
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Right AnglesRight Anglesan angle measuring exactly an angle measuring exactly 90 degrees.90 degrees.
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Obtuse AnglesObtuse Anglesan angle measuring an angle measuring between 90 and 180 between 90 and 180 degreesdegrees
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Degrees: Measuring AnglesDegrees: Measuring AnglesWe measure the size of an We measure the size of an angle using a device called angle using a device called the the PROTRACTORPROTRACTOR. .
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HOW TO USE A PROTRACTORHOW TO USE A PROTRACTOR
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Use a protractor for Use a protractor for exercises 1-2exercises 1-2
Construct an angle with a Construct an angle with a measure of 45 degrees.measure of 45 degrees.
Construct an angle with Construct an angle with measure of 125 degrees. measure of 125 degrees.
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QUIZQUIZ1. NAME THE 1. NAME THE
ANGLES USING 3 ANGLES USING 3 POINTS.POINTS.
2. WHAT ARE THE 2. WHAT ARE THE SIDES OF SIDES OF PAR?PAR?
3. WHAT IS THE 3. WHAT IS THE VERTEX OF VERTEX OF DAR?DAR?
D
A
P
R
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HOMEWORK
WHAT IS A POLYGON?WHAT ARE THE TYPES OF POLYGON?