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Parallel Lines & Transversal Lines PolygonsVocabulary 10 Point 20 Points 30 Points 40 Points 50 Points 10 Point 20 Points 30 Points 40 Points 50 Points 30 Points 40 Points 50 Points Triangles Find 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 ° ° = 60° 60° = Missing Angle

Below is a quadrilateral. Find the 2 (a & b) missing angles: 60°120° ab

All quadrilaterals have an angle sum of 360 °. Therefore, a = 60 ° and b = 120 °. These angles are equal to the opposite angle = 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  135  X

All interior angles in a quadrilateral add up to = = 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

60

20

= = 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 sidesMeasure of an Angle Angle Sum Triangle Square Pentagon

Question 5d Polygon# of sidesMeasure of an Angle Angle Sum Triangle Square Pentagon

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 HI G J E F K C

Final Question