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!