Look above at the title of this week's lesson. In your own words, how would you define interior angle?
In your own words, how would you define exterior angle?
In your own words, how would you define the term polygon?
In your own words, how would you define the term diagonal?
Drag each term to match it with it's definition. You can use the internet to look up anything you don't understand!
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
pentagon | arrow_right_alt | an angle inside a shape |
diagonal | arrow_right_alt | the angle between any side of a shape, and a line extended from the next side |
quadrilateral | arrow_right_alt | a 2-dimensional shapes that is made of straight lines, and the shape is "closed" |
polygon | arrow_right_alt | line segments from one corner (or vertex) to another but not the edges |
vertex | arrow_right_alt | a 4 sided shape |
hexagon | arrow_right_alt | a 5 sided shape |
exterior angle | arrow_right_alt | a 6 sided shape |
interior angle | arrow_right_alt | a point where two or more line segments meet |

What is the relationship between the number of triangles formed from one vertex and the number of sides of the polygon?
An expression for the sum of the interior angles in a polygon is
Match each of the parts of the formula with their meaning.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
| arrow_right_alt | the sum of the angles in one triangle | |
180 | arrow_right_alt | the number of sides of the polygon |
| arrow_right_alt | the number of triangles formed by the diagonals from one vertex |
Use the formula
What is the sum of the interior angles of decagon (ten sided shape)?
A regular polygon has all congruent sides and angles. Notice the markings below.
What is the measure of one interior angle of a regular pentagon

Find the values of
Hey you made it to the end! Don't forget ALEKS this week...