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Parallel Lines & Transversal

LinesPolygons Vocabulary

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TrianglesFind the Missing

Angle

Below is a triangle with a missing angle. Find the

missing angle:

30 °

Missing

Angle

Given angles:

90 ° + 30 ° = 120 °

All angles in a triangle add up to 180 °

180 ° - 120 ° = 60°

60° = Missing Angle

Below is a quadrilateral.

Find the 2 (a & b) missing angles:

60°120°

a b

All quadrilaterals have an angle sum of 360 °.

Therefore, a = 60 ° and

b = 120 °. These angles are equal to the opposite angle.

60 + 60 + 120 + 120 = 360 °

Find the missing angles for the regular polygon

below.

Angle sum = 1,080°

Since this is a regular polygon, we know that all angles and sides are equal. Since this is an OCTAGON = 8 sided figure, we can easily find the missing angle. Therefore, you

take

1,080 ° / 8 = 135 °

Each angle of the octagon = 135 °

Find the exterior angles (a, b, and c) of the triangle

below.

30 °

60°

a

b

c

By looking at the triangle, we know that the interior angle + the

exterior angle = 180 °

(straight line)

180 ° - 90 ° = 90 ° = a

180 ° - 60 ° = 120 ° = b

180 ° - 30 ° = 150 ° = c

Find the missing angle (x) in the quadrilateral.

93

70

135X

All interior angles in a quadrilateral add up to

360.

93 + 70 + 135 = 298

360 - 298 =

62 = X

Define Parallel Lines

Parallel Lines: Lines in a plane that never meet. The opposite sides of a regular

hexagon are parallel.

Define Transversal Line

Transversal Line: A line that intersects two or more

lines.

Find the missing angles.

120

120

120

60

60

20

6090

90+ 60 = 150

180-150 = 30

30

Draw and define right triangle.

Right Triangle: A triangle with one

right angle and two acute angles.

Define and draw a Isosceles Triangle.

Isosceles Triangle: a triangle with two

sides the same length.

Draw and define what an equilateral

triangle is.

Equilateral Triangle: a triangle with all three sides

the same length.

Draw and define a Scalene Triangle.

Scalene Triangle: A triangle with no side lengths equal.

How much do all the interior angles ALWAYS add up to in a triangle?

All interior angles in a triangle add

up to 180.

I am a polygon with 5 sides. Who

am I?

I am a Pentagon!

If you take all of my interior angles and add

them together you get 720. What polygon am I?

I am a Hexagon - 6 sided figure.

I am a regular nonagon (9-sided figure). All of angles are 140. What is the angle

sum for my shape?

9 x 140 = 1,260

How could you find out what the angle sum for a pentagon is without using a

protractor?

Starting from the triangle, the angle sum increases by

180 with each addition side.

Fill in the missing parts of the chart.

Polygon # of sides Measure of an Angle

Angle Sum

Triangle 3 60 180

Square

Pentagon

Question 5dPolygon # of sides Measure of an

AngleAngle Sum

Triangle 3 60 180

Square 4 90 360

Pentagon 5 108 540

Define and draw an Obtuse Angle.

Obtuse Angle: An angle whose measure is greater than

90 and less then 180

Define and draw an acute angle.

Acute Angle: an angle whose

measure is less than 90

Define and draw a parallelogram.

Parallelogram: a quadrilateral with opposite sides parallel. Both pairs of

opposite angles are all equal.

What word goes with this definition?

A polygon that has all of its sides equal

and all of its angles equal.

The hexagon below is regular,

but the pentagon is not regular,

because its sides and its angles

are not equal.

Regular Polygon

What are the 2 types of

symmetry? Draw pictures.

Rotational Symmetry: a shape has rotation symmetry

if it can be rotated less than a full turn about its center

point to a position where it looks exactly as it did before

it was rotated.

Reflection Symmetry: a shape with reflection symmetry

has two halves that are mirror images of each other.

Make your wager

EXIT TICKET: Look at the set of shapes. List 2 ways you could separate the shapes into groups. Describe how you decided to separate them.

A B

D

H I

G

J

EF

K

C

Final Question