This document contains a geometry lesson plan covering key terms, vocabulary, postulates, and theorems in geometry. It includes objectives to define terms like angle, vertex, straight angle, and angle addition postulate. It also covers measuring angles using a protractor and identifying coplanar points. Worked examples are provided to illustrate concepts like finding lengths using the segment addition postulate and classifying angles as acute, right, or obtuse.

1. Hon Geom
Take out any paper
work you may still
have for me.
Put HW on the
corner of your desk

2. Geometry Drill 9/3/14
#2
1. If x + 2 = 8, then (x + 1)2 = ?
A) 25 B) 36
C) 49 D) 64 E) 80

3. Geometry Drill
2. If 5 – y = 1, then y2 – y = ?
A) 4 B) 6 C) 8
D) 10 E) 12

4. How many points
determine a plane?

5. Are C, Z, and A coplanar?

6. Objective:
To define more key words in geometry
To identify use the Segment Addition
Postulate and the ruler postulate
To measure angles using a protractor
To identify use the Angle Addition
Postulate

7. Key Terms
Angle
Vertex
Straight Angle
Adjacent Angles
Congruent
Angles
Angle
Bisector
Angle
Addition
Postulate
Protractor
Postulate

8. Vocabulary
adjacent angles
linear pair
complementary angles
supplementary angles
vertical angles

9. Vocabulary
Length- The distance
from one to zero

10. VOCABULARY LIST
MIDPOINT- THE POINT
THAT DIVIDES A
SEGMENT INTO TWO
CONGRUENT SEGMENTS

11. Vocabulary
Segment Bisector- A
line, segment, ray, or
plane that intersects
the segment at it
midpoint

12. The Ruler Postulate
1. Two points on a line can be paired with
the real numbers in such a way that
any two points can have coordinate 0
and 1
2. Once a coordinate system has been
chosen in this way, the distance
between any two points equals the
absolute value of the difference of their
coordinates.

13. Vocabulary
AB means the
measure of AB
AB=|a-b| or |
b-a|.

14. TRY THIS
A B
3 6

15. Find the length of AC
15 7
A B C

16. Find the length of AC
The length of AB is 32
5
A C B

17. Segment Addition
Postulate
If point R is
between points P
and Q, then
 PR+ RQ = PQ

18. Find the value of Y
G E H
1)GE = y, EH = y–1,
GH =11
2) GE = 3y, EH = 24,
GH =7y – 4

19. Find the value of Y
3) GE = y+2, EH = 2y–
6, GH =20.
Is E the midpoint of GH ?

20. ????????
What unit do we use
to measure angles?
What instrument do
we use to measure
angles?

21. VOCABULARY LIST
Straight ANGLE - AN
ANGLE WHO’S MEASURE
IS EQUAL 180 DEGREES

22. Vocabulary
Congruent Angles-
Angles that have the
same measure.
40º 40º

23. VOCABULARY LIST
ADJACENT ANGLES -
TWO ANGLES IN A PLANE
THAT HAVE A COMMON
VERTEX AND A COMMON
SIDE BUT NO COMMON
INTERIOR POINTS

24. Notation
The measure of a
angle ABC is
mÐABC

25. Protractor Posutlate
The measure of a
angle ABC is
|a-b| or |b-a|.
a b

27. Angle Addition Postulate
If point S is in the
interior of PQR,
then
mÐPQS + mÐSQR = mÐPQR

28. Fine the Values of A + B and
then define Complimentary
Complimentary
A B
Ð = Ð =
45 , 45
 
A B
Ð = Ð =
30 , 60
 
A B
Ð = Ð =
53 , 37
 
A B
Ð = Ð =
22 , 68
 
Not Complimentary
A B
Ð = Ð =
47 , 45
 
A B
Ð = Ð =
20 , 60
 
A B
Ð = Ð =
63 , 37
 
A B
Ð = Ð =
12 , 58
 

29. Fine the Values of A + B and
then define Supplementary
Supplementary
A B
Ð = Ð =
145 , 35
 
A B
Ð = Ð =
130 , 50
 
A B
Ð = Ð =
90 , 90
 
A B
Ð = Ð =
82 , 98
 
Not Supplementary
A B
Ð = Ð =
145 , 25
 
A B
Ð = Ð =
150 , 50
 
A B
Ð = Ð =
80 , 90
 
A B
Ð = Ð =
92 , 98
 

30. Many pairs of angles have special
relationships. Some relationships
are because of the measurements of
the angles in the pair. Other
relationships are because of the
positions of the angles in the pair.

31. Vocabulary
Complementary Angles -
Two angles whose sum
is 90 degrees.

32. Vocabulary
Supplementary Angles -
Two angles whose sum
is 180 degrees.

34. Write the complement
1) 15º
2) 87º
3) xº

35. Write the supplement
1) 25º
2) 107º
3) xº

36. ????????????????
Are supplementary
angles a linear
pair?

37. Vertical Angles
The opposite angles
formed when two
lines intersect
1
2
3
4

38. Vertical Angle
Theorem
Vertical angles are
congruent

39. Classify each angle as acute, right, or obtuse.
1. ÐXTS
2. ÐWTU
acute
right
3. K is in the interior of ÐLMN, mÐLMK =52°,
and mÐKMN = 12°. Find mÐLMN.
64°

40. 4. BD bisects ÐABC, mÐABD = , and
mÐDBC = (y + 4)°. Find mÐABC.
32°

41. 5. mÐWYZ = (2x – 5)° and mÐXYW = (3x + 10)°.
Find the value of x.
35