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Do Now 3/15/12. Take out HW from last night. Text p. 312, #1-16 all, 21 Copy HW in your planner. Text p. 318, #10-23 all, 27 & 28 In your journal, describe how to use a protractor. Use step-by-step instructions on how to measure an angle. 1) Q, R, S 2) 3) plane QRS 4) 5) 6)

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Do Now 3/15/12

  • Take out HW from last night.

    • Text p. 312, #1-16 all, 21

  • Copy HW in your planner.

    • Text p. 318, #10-23 all, 27 & 28

  • In your journal, describe how to use a protractor. Use step-by-step instructions on how to measure an angle.


Homework text p 312 1 16 all 21

1) Q, R, S

2)

3) plane QRS

4)

5)

6)

7) D, E, F

8)

9) plane DEF

10)

11)

12)

13) Plane ABC contains points A, B, C; lines AB & BC; line segments AB, AC, & BC; rays AB, BA, BC, CB, & CA. Plane ACD contains points A, C, D; line segments AC, AD, & CD; and ray CA

Homework Text p. 312, #1-16 all, 21


Homework text p 312 1 16 all 211

14) 6;

15) answer vary

16)

21) C

Homework Text p. 312, #1-16 all, 21


Objective
Objective

  • SWBAT identify angles and angle pairs


Section 8 2 classifying angles
Section 8.2 “Classifying Angles”

Angle

two rays with a common endpoint.

D

Sides

C

Vertex

E


Naming angles
Naming Angles

  • The following angle can be named in three ways:

B

C

A

Vertex


Types of angles
Types of Angles

  • Right angle = 90 degrees

  • Acute angle = less than 90 degrees

  • Obtuse angle = more than 90 degrees

  • Straight angle = exactly 180 degrees


  • The MEASURE of is written as .

  • APROTRACTORcan be used to approximate the measure of an angle.


Using a protractor
Using a Protractor

  • Find

= 130°

A

C

B


Using a protractor1
Using a Protractor

  • Find

= 70°

A

C

B



Supplementary Angles

When two angles form a straight line, the sum of their measures is 180°

D

180°

150°

30°

A

C

E


Complementary Angles

When two angles form a right angle, the sum of their measures is 90°

W

90°

64°

Z

26°

X

Y


P

Q

O

N

R

M

Use the diagram to tell whether the angles are complementary, supplementary, or neither.

OMP and PMQ

30°

60°

OMP = 60° and PMQ = 30° and 30°+60° = 90° therefore, they are complementary.


P

Q

O

N

R

M

Use the diagram to tell whether the angles are complementary, supplementary, or neither.

NMO and OMR

165°

15°

NMO = 15° and OMR= 165° and 15°+165° = 180° therefore, they are supplementary.


Use the diagram to tell whether the angles are complementary, supplementary, or neither.

D

E

C

F

B

A

BAC and EAF

35°

35°

BAC = 35° and EAF= 35° and 35°+35° = 70° therefore, they are neither.


Finding angle measures
Finding Angle Measures complementary, supplementary, or neither.

Angles A and B are complementary. If mA is 56°, what is the mB?

Since A and B are complementary, mA + mB = 90°.

mA + mB = 90°

56° + mB = 90°

Substitute 56° for mA.

Subtract 56° from both sides.

– 56° – 56°

mB = 34°

The measure of B = 34°.


Finding angle measures1
Finding Angle Measures complementary, supplementary, or neither.

Angles P and Q are supplementary. If mP is 32°, what is the mQ?

Since P and Q are supplementary, mP + mQ = 180°.

mP + mQ = 180°

32° + mQ = 180°

Substitute 32° for mP.

Subtract 32° from both sides..

– 32°– 32°

mQ = 148°

The measure of Q = 148°.


Homework complementary, supplementary, or neither.

  • Text p. 318, #10-23 all, 27 & 28


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