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ANGLE. A FIGURE FORMED BY TWO NONCOLLINEAR RAYS WITH A COMMON ENDPOINT. ANGLE. The TWO NONCOLLINEAR RAYS ( ray BP & ray BC ) are the SIDES of an angle. ANGLE. The point where the rays intersect is called the VERTEX of an angle. ANGLE MNEMONIC. S - Sides are 2 non-collinear rays . - PowerPoint PPT Presentation

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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?