Post on 26-Jan-2016
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Points, lines and
planes
Angles and
relations
Angles and
relations part II
Naming things
Drawing things
100 100 100 100 100
200 200 200 200 200
300 300 300 300 300
400 400 400 400 400
Two points on the same plane are… _____________________
COPLANAR – on the same plane!
A
B
Finish the sentence:
A line segment is different from a line because…
It has 2 endpoints, wheras a line goes on forever in both directions (has arrows on either end)
Find the coordinates for the midpoint between
(4,10)
(-5, 2)
(-.5, 6) or (-½, 6)
(4,10)
(-5, 2)
This is a special name for a point where two lines or rays intersect to form an angle.
VERTEX!!!
These two angles are congruent because they are…
1
2
VERTICAL ANGLES
Name complementary angles
12
3
45
6
Angles 2 and 3 AND 6 and 5
12
3
45
6
If . Solve for x
12
3
45
6
€
m∠4 = 6x
X=15
dAiLy DoUbLe
Study the figure: Given and
solve for x h
j
g
f
k
p w
€
m∠wkj=2x
€
m∠jkh=x−30
€
m∠wkj+m∠jkh=180°
2x+x−30=180°
3x−30=180
3x=150
x=50
Identify the acute angles in the figure below
1 2
3
45
6
Angles 1, 2, 4, 5
An angle divides a plane into three distinct sections. Name them and
draw an example.
Interior, exterior, on the angle
h
b
a Q (interior)
D (Exterior)
a is on the angle
Given angle 2 is 49°, what is the measure of angle
5. What is the relationship between the two?
12
3
45
6
Angle 5 measures 49° They are congruent because they are
vertical angles.
Name two pairs of supplementary angles
and how you know they are supplementary
h
j
g
f
k
p w
Answers will vary… they are supplementary because they add up to 180° (their rays
make up the same line)
h
j
g
f
k
p w
Name the plane in two different ways
… and state the rule
h
b
k z d
p
M
Answers will vary… you name three non-collinear points (or the capital script letter)
h
b
k z d
p
M
Name two supplementary angles. USE THEIR ANGLE NAMES and state the rule for how to name angles.
j
g
f
k
p
<gkp and <pkf, <gkp and <gkj, <jkf and <
gkj, <jkf and <fkpWe name angles using three points on the angle, the vertex always in the middle of the angle name.
j
g
f
k
p
Name one ray and one line properly.
h
a g q
h
a g q
€
ag
qa
qg
ah
Isan angle? Why or why not?
h
j
g
f
k
p w
€
∠jhk
NO!!!!!!!! NOOOO
NOOOOO NOOOOOOOO
NO!!!! THE VERTEX OF THE ANGLE MUST BE IN THE MIDDLE OF THE ANGLE NAME.
h
j
g
f
k
p w
DRAW and accurately mark a right angle
Wowwww!!Right on! ;)
… you see what I did there?
Which two angles are congruent?
1
2
3
4
1 and 4!
1They have the same markings!!!
4
Draw and mark two congruent line segments
Here they are!