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1.5 Angles (Drawing, Labeling, Measuring, Classifying) 2016 EXPORT 1 September 14, 2016 Mental Floss : Tuesday Sept 13 th W X Y X is the midpoint of WY. Find the two possible values of WY. Mental Floss : Wednesday Sept 14 th C U B You are given the following information: , , and Find the CU and UB. 1.5 Angles Lesson Objectives Name Angles Measure and classify angles Identify congruent angles Use the Angle Addition Postulate to find angle measures Bisect Angles Angles An angle is a set of points consisting of two different rays that have the same endpoint, called the vertex . The rays are the sides of the angle. Naming Angles 1. 2. 3. 4. Classifying Angles Acute: Right: Obtuse: Straight:

1.5 - Angles (Drawing, Labeling, Measuring, Classifying ... · 1.5 Angles (Drawing, Labeling, Measuring, Classifying) 2016 EXPORT 2 September 14, 2016 Interior of angle = The region

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Page 1: 1.5 - Angles (Drawing, Labeling, Measuring, Classifying ... · 1.5 Angles (Drawing, Labeling, Measuring, Classifying) 2016 EXPORT 2 September 14, 2016 Interior of angle = The region

1.5 ­ Angles (Drawing, Labeling, Measuring, Classifying) 2016 EXPORT

1

September 14, 2016

Mental Floss: Tuesday Sept 13th

W X YX is the midpoint of WY.  Find the two possible values of WY.

Mental Floss: Wednesday Sept 14th

C U B

You are given the following information:

•                     ,                     ,  and   

Find the CU and UB.

1.5 ­ Angles

Lesson Objectives

• Name Angles

• Measure and classify angles

• Identify congruent angles

• Use the Angle Addition Postulate to find angle measures

• Bisect Angles

AnglesAn angle is a set of points consisting of two different rays that have the same endpoint, called the vertex.  The rays are the sides of the angle.

Naming Angles

1.  

2.  

3.  

4.  

Classifying Angles

Acute:    

Right:  

Obtuse:  

Straight:  

Page 2: 1.5 - Angles (Drawing, Labeling, Measuring, Classifying ... · 1.5 Angles (Drawing, Labeling, Measuring, Classifying) 2016 EXPORT 2 September 14, 2016 Interior of angle = The region

1.5 ­ Angles (Drawing, Labeling, Measuring, Classifying) 2016 EXPORT

2

September 14, 2016

Interior of angle = The region containing all the points between the sides of the angle.

Exterior of angle = The region containing all the points outside the angle.

Congruent Segments = Segments with the same length or measure.

1.  

2.  

3. Tick marks 

A B

X Y

Congruent Angles = Angles with the same measure.

1.  

2.  

3. Tick marks G

H

Segment Addition Postulate = 

• If B is between A and C, then AB + BC = AC.

• If AB + BC = AC, then B is between A and C.

Angle Addition Postulate = 

• If P is on the interior of           , then the measure of              is equal to the sum of the measures of            and           .

Page 3: 1.5 - Angles (Drawing, Labeling, Measuring, Classifying ... · 1.5 Angles (Drawing, Labeling, Measuring, Classifying) 2016 EXPORT 2 September 14, 2016 Interior of angle = The region

1.5 ­ Angles (Drawing, Labeling, Measuring, Classifying) 2016 EXPORT

3

September 14, 2016

1.5 p.43

• #6,7,9­14 (Day 1)

• #21,23,25,28,30,34,38,48,54 (Day 2)

• Cut out #44,56

• Due Thursday 9/15