2A_AnglesAndTheirMeasures 1 September 03, 2012 Geometry Lesson 2A Angles and Their Measures TLW name, classify, and identify the vertex and sides of angles. TLW apply the angle addition postulate and angle terminology to solve problems. MHS 4.1.06 (2008 AZ standards) Solve problems using angle and side length relationships and attributes of polygons. Bell Work Given the following sequence: a 0 = 1, a 1 = 2, a 2 = 5, a 3 = 8, a 4 = 11 … Which formula generates the given sequence? a) a n = n + 3 b) a n = 3n 1 1. Bell Work Given the sequence: a 0 = 3, a 1 = 6, a 2 = 9, a 3 = 12, … Which formula generates the given sequence? a) a n = 6n + 3 b) a n = 3n +3 2. Bell Work 3. If M is the midpoint of AB, what are the coordinates of B? Bell Work 4. Given M (5, 8) is the midpoint of QR. The coordinates of Q is (10,1). What are the coordinates of R? Bell Work 5. What is the exact distance between C and D?

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2A_AnglesAndTheirMeasures

1

September03,2012

GeometryLesson2AAnglesandTheirMeasuresTLWname,classify,andidentifythevertexandsidesofangles.

TLWapplytheangleadditionpostulateandangleterminologytosolveproblems.

MHS4.1.06(2008AZstandards)Solveproblemsusingangleandsidelengthrelationshipsandattributesofpolygons.

BellWork

Giventhefollowingsequence:a0 =1,a1 =2,a2 =5,a3 =8,a4 =11

Whichformulageneratesthegivensequence?

a) an=n+3

b) an=3n1

1.

BellWork

Giventhesequence:a0 =3,a1 =6,a2 =9,a3 =12,

Whichformulageneratesthegivensequence?

a) an=6n+3

b) an=3n+3

2.

BellWork

3. IfMisthemidpointofAB,whatarethecoordinatesofB?

BellWork

4. GivenM(5,8)isthemidpointofQR.ThecoordinatesofQis(10,1).WhatarethecoordinatesofR?

BellWork

5.WhatistheexactdistancebetweenCandD?
2A_AnglesAndTheirMeasures

2

September03,2012

Vertex RightAngledefinition example

ObtuseAngledefinition example

StraightAngledefinition example

AcuteAngledefinition example

Writethreenamesfortheangles,namethevertexandthesides.

names

vertex sides

classification:
2A_AnglesAndTheirMeasures

3

September03,2012

Writethreenamesfortheangles,namethevertexandthesides.

names

vertex sides

classification:

Writethreenamesfortheangles,namethevertexandthesides.

names

vertex sides

AngleAdditionPostulatedefinition example definition example

Adjacent

Apply the Angle Addition Postulate to find the measure of the unknown angle.

Apply the Angle Addition Postulate to find the measure of the unknown angle.
2A_AnglesAndTheirMeasures

4

September03,2012

Apply the Angle Addition Postulate to find the measure of the unknown angle.

Apply the Angle Addition Postulate to find the measure of the unknown angle.

Classification Definition Example

RightAngle

measures180o

Acute

Pleasetrashthenonadjacentangles
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