Section 1.4 Angles & Their Measures 1/13. Parts of the Angle Possible Names 1 Angle Symbol 2/13.

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Transcript of Section 1.4 Angles & Their Measures 1/13. Parts of the Angle Possible Names 1 Angle Symbol 2/13.

Section 1.4Angles & Their

Measures

1/13

Parts of the Angle

,

, 1

BAC CAB

A or

Possible Names

1

Angle Symbol

2/13

Parts of the Angle3/13

Bad Naming Convention

BBad Name!!

A

B

C

DSingle Letter

naming can only be used if it is the vertex for

only ONE ANGLE.

4/13

Geometric Notation

Refers to the NAME of the object (the angle)

Refers to the MEASUREMENT of the object (size of the angle)

ABC

m ABC

A

B

C

5/13

Angle Addition Postulate

A

B

C

D

m ABD m DBC m ABC

When D is in the interior of angle ABC

6/13

Angle Addition Postulate

A

B

C

Dm ABD

m DBC

m ABC

5x +2

7x +6

72

What is the value of x?

7/13

Congruent Angles

A

B

C D

E

F*

*

If , then

If , then

m ABC m DEF

m ABC m DEF

ABC DEF

ABC DEF

8/13

Angle Names – Acute Angle

9/13

Angle Names – Right Angle

10/13

Angle Names – Obtuse Angle

11/13

Angle Names – Straight Angle

12/13

Homework 1.4

P. 29 5 – 8, 26 – 28, 29 – 34 (For #29 – 34, use this diagram)

13/13

B

DE

F

CA