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LESSON
Measuring and Constructing Angles
1-3
Lesson Objectives (p. 20):
______________________________________________________________
______________________________________________________________
Vocabulary
1. Angle (p. 20): ___________________________________________________
______________________________________________________________
2. Vertex (p. 20): __________________________________________________
______________________________________________________________
3. Interior of an angle (p. 20): ________________________________________
______________________________________________________________
4. Exterior of an angle (p. 20): _______________________________________
______________________________________________________________
5. Measure (p. 20): ________________________________________________
______________________________________________________________
6. Degree (p. 20): _________________________________________________
______________________________________________________________
7. Acute angle (p. 21): ______________________________________________
______________________________________________________________
8. Right angle (p. 21): ______________________________________________
______________________________________________________________
9. Obtuse angle (p. 21): ____________________________________________
______________________________________________________________
10. Straight angle (p. 21): ____________________________________________
______________________________________________________________
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
12
Geometry
LESSON
Measuring and Constructing Angles
1-3
Lesson Objectives (p. 20):
name and classify angles; measure and construct angles and angle
______________________________________________________________
bisectors.
______________________________________________________________
Vocabulary
figure formed by two rays, or sides, with a common endpoint.
1. Angle (p. 20): a
___________________________________________________
______________________________________________________________
common endpoint in an angle.
2. Vertex (p. 20): the
__________________________________________________
______________________________________________________________
set of all points between the sides of an
3. Interior of an angle (p. 20): the
________________________________________
angle.
______________________________________________________________
the set of all points outside the angle.
4. Exterior of an angle (p. 20): _______________________________________
______________________________________________________________
the angle dimension by using a protractor.
5. Measure (p. 20): determine
________________________________________________
______________________________________________________________
1
of a circle.
360
6. Degree (p. 20): _________________________________________________
______________________________________________________________
an angle that measures greater than 0° and less than
7. Acute angle (p. 21): ______________________________________________
90°.
______________________________________________________________
an angle that measures 90°.
8. Right angle (p. 21): ______________________________________________
______________________________________________________________
an angle that measures greater than 90° and less than
9. Obtuse angle (p. 21): ____________________________________________
180°.
______________________________________________________________
an angle that measures 180° and is formed by two
10. Straight angle (p. 21): ____________________________________________
opposite rays.
______________________________________________________________
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
12
Geometry
LESSON 1-3 CONTINUED
11. Congruent angles (p. 22): _________________________________________
______________________________________________________________
12. Angle bisector (p. 23): ____________________________________________
______________________________________________________________
Key Concepts
13. Postulate—Protractor Postulate (p. 20):
1-3-1
14. Types of Angles (p. 21):
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
13
Geometry
LESSON 1-3 CONTINUED
11. Congruent angles (p. 22): angles
_________________________________________
that have the same measure.
______________________________________________________________
12. Angle bisector (p. 23): a
____________________________________________
ray that divides an angle into two congruent angles.
______________________________________________________________
Key Concepts
13. Postulate—Protractor Postulate (p. 20):
and a point O on AB
, all rays that can be drawn
1-3-1 Given AB
from O can be put into a one-to-one correspondence wth the
real numbers from 0 to 180.
14. Types of Angles (p. 21):
Acute Angle
A
Measures
greater than
0° and less
than 90°.
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All rights reserved.
Right Angle
Obtuse Angle
L
G
Measures 90°
Measures
greater than
90° and less
than 180°
13
Straight Angle
P
Q
R
Formed by
two opposite
rays and
measure 180°
Geometry
LESSON 1-3 CONTINUED
15. Postulate—Angle Addition Postulate (p. 22):
1-3-2
16. Get Organized In the cells sketch, measure, and name an example of each
angle type. (p. 24).
DIAGRAM
MEASURE
NAME
Acute Angle
Right Angle
Obtuse Angle
Straight Angle
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All rights reserved.
14
Geometry
LESSON 1-3 CONTINUED
15. Postulate—Angle Addition Postulate (p. 22):
S
1-3-2 If S is in the interior of
PQR, then mPQS mSQR mPQR.
R
P
Q
16. Get Organized In the cells sketch, measure, and name an example of each
angle type. (p. 24).
DIAGRAM
MEASURE
NAME
Acute Angle
A
Greater than 0°
and less than
90°
A
90°
G
Greater than 90°
and less than
180°
L
180°
PQR
Right Angle
G
Obtuse Angle
L
Straight Angle
P
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Q
R
14
Geometry