lesson 1.4 measuring and classifying angles. objective name, measure, and classify angles

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Lesson 1.4 Measuring and Classifying Angles

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Page 1: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Lesson 1.4Measuring and

Classifying Angles

Page 2: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Objective

• Name, measure, and classify angles

Page 3: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Standard 1.0

• Students will demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning

Page 4: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Angle

• Consists of two different rays with the same endpoint.

Page 5: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Vertex

• Endpoints of rays in a angle

Page 6: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Angle A or A

The angle with sides AB and AC can also be named orBAC CAB

Page 7: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Example

• Name 3 angles

Page 8: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Degrees are the unit of measure for an angle

• Angles are measured in degrees because they are a portion of a circle.

Page 9: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Classify Angles

Use a protractor to measure angles

Page 10: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Angle Addition Postulate

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

RSTRSTRSP PST

RSTPSTRSP

Page 11: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Example Problem

Page 12: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Indy Practice

Page 13: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Congruent Angles

• Angles with the same measure

A B

BA

BA

Page 14: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Angle Bisector

• A ray that divides an angle into two angles that are congruent

Page 15: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Example

Page 16: Lesson 1.4 Measuring and Classifying Angles. Objective Name, measure, and classify angles

Practice