1.4 measure and classify angles. definitions angle – consists of two different rays with the same...

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1.4 Measure and Classify Angles

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Page 1: 1.4 Measure and Classify Angles. Definitions Angle – consists of two different rays with the same endpoint. B C vertex The rays are the sides of the angle

1.4 Measure and Classify Angles

Page 2: 1.4 Measure and Classify Angles. Definitions Angle – consists of two different rays with the same endpoint. B C vertex The rays are the sides of the angle

Definitions

Angle – consists of two different rays with the same endpoint.

B

C

vertex

The rays are the sides of the angle.The endpoint is the vertex of the angle.

A

sides

This angle can be named BAC or CAB or A.

Page 3: 1.4 Measure and Classify Angles. Definitions Angle – consists of two different rays with the same endpoint. B C vertex The rays are the sides of the angle

Classifying Angles

Acute Angle: less than 90º

Right Angle: equals 90º

Obtuse Angle: more than 90º

Straight Angle: equals 180º

A

B

C

D

Page 4: 1.4 Measure and Classify Angles. Definitions Angle – consists of two different rays with the same endpoint. B C vertex The rays are the sides of the angle

Angle Addition Postulate

If P is in the interior of RST, then

R

S

T

P

m RST = m RSP + m PST

Page 5: 1.4 Measure and Classify Angles. Definitions Angle – consists of two different rays with the same endpoint. B C vertex The rays are the sides of the angle

Congruent Angles

Two angles are congruent if they have the same measure.

A B

24º 24º

so A = B~m A = m B