Angle - PowerPoint Presentation

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Uploaded On 2017-06-02

Angle - PPT Presentation

Two rays with the same endpoint The rays are the sides of the angle The common endpoint of the 2 rays is the vertex of the angle Name the sides and vertex of this angle ID: 555283

angle angles congruent measure angles angle measure congruent vertex xfind 50find letter sides give adc protractor names interior exterior

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Slide1

Angle• Two rays with the same endpointSlide2

• The rays are the sides of the angle. • The common endpoint of the 2 rays is the

vertex of the angle.Slide3

Name the sides and vertex of this angle:Slide4

Name the sides and vertex of this angle:Slide5

We sometimes refer to the interior and exterior of an angle.Slide6

What points lie on the interior? on the exterior?

 on

the

angle?Slide7

You

can name

angles many

different ways:Slide8

Slide9

• named with 1 letter, the letter must be the vertex

• named with 3 letters,

the middle

letter is the vertex,

and

the

others are 1 point

each

raySlide10

Give as many names as you can for these angles.Slide11

Give as many names as you can for these angles. DEF

FED



ESlide12

Give as many names as you can for these angles.TUV

VUT



USlide13

We sometimes also name angles with numbers, particularly when there are several angles in the same picture.5 is atthe bottom

left

.Slide14

The measure of an angle refers to how wide the angle opens, NOT how long the sides are (because they go on forever) or which way it points.Slide15

There aremany waysto measure angles.

The oldest and most common unit of measurement is the

degree

.Slide16

• A full circle has 360o

•

straight line has

180

oSlide17

Types of AnglesSlide18

• Acute • less than 90o

•

Right

•

exactly

•

often use a box to

show

an angle is a

right angle.Slide19

• Obtuse • between 90o and 180o

•

Straight

•

exactly 180

•

same as a lineSlide20

The

tool used to measure angles is called a protractor

.Slide21

The

tool used to measure angles is called a protractor

.Slide22

Slide23

Slide24

Various types of protractors have been used for thousands of years, mostly in navigation and construction.Slide25

Slide26

In modern practical applications, angles are measured by sighting laser beams.Slide27

We refer to the measure of an angle with notation that uses the letter “m”.mACD = 138



= 80Slide28

IMPORTANT:We don’t normally use protractors much in geometry. This is because pictures are intended to give the idea of what’s going on, but they may not necessarily be accurate.Slide29

Congruent AnglesAngles are congruent if and only if they have the same measure.

R  Q Slide30

Congruent AnglesSlide31

In drawings we show angles are congruent by marking the same arcs of a circle inside the angles.Slide32
Slide33

Find mCAB.Slide34

64 – 53 = 11oFind m

CAB

.Slide35

mADC = 50Find x

Find m

BDC Slide36

mADC = 50Find x