1. Geometry Topics Name: __________________________
Unit 5, Worksheet 3 Date: __________________________ 1.
x = _______
mÐA = _______
mÐB = _______
mÐC = _______ 2.
x = _______
mÐD = _______
mÐF = _______
mÐG = _______ A
x + 18
3x + 9
2x - 3 B C D 3. M
3x - 6
3x + 6 5x F G
x - 5 N
What can you conclude about all of the side lengths? ________________________________________
What can you conclude about all of the interior angles? __________________________________
What is the sum of the interior angle measures?_________________________________
What is the measure of each interior angle measure?_________________________________
x = _______
mÐM = _______
mÐN = _______ 4. 5x
3z - 8 3y
x = ______
y = ______
z = ______
What is the length of each side of the octagon? __________
z + 2
This figure is a regular octagon.

2. Geometry Name: __________________________
Mixed Review Date: __________________________
Section 1 – Identify each as a convex polygon, not convex polygon, or not a polygon.
Section 2 – Identify each as a regular polygon or irregular polygon. 3 3
120 ° 3
120°
120 ° 3 3
120 °
120 ° 3
Section 3 – Write each formula.
Sum of the measures of the interior angles:
Sum of the measures of the exterior angles:
Number of Diagonals:
Measure of each interior angle:
Measure of each exterior angle:
(Regular)
(Regular)
Section 4 – Use your formulas from above to complete each problem.
A Regular Polygon has 7 sides.
A Regular Polygon has an interior angle sum of 1440.
Each exterior angle of a regular polygon has a measure of 60.
Name: _____________________
Sum of the Interior Ðs: _______
Measure of each Interior Ð: ____
Sum of the Exterior Ðs: _______
Measure of each Exterior Ð: ____
Number of Diagonals: _________
Name: _____________________
Number of Sides: ____________
Measure of each Interior Ð: ____
Sum of the Exterior Ðs: _______
Measure of each Exterior Ð: ____
Number of Diagonals: _________
Name: _____________________
Number of Sides: ____________
Sum of the Interior Ðs: _______
Measure of each Interior Ð: ____
Number of Diagonals: _________

3. Geometry Name: __________________________
Mixed Review Date: __________________________
What is the total for the measurement of the interior angles in a convex polygon with… Formula:
1. 4 sides __________ sides __________
2. 7 sides __________ sides __________
3. 8 sides __________ sides __________
4. 9 sides __________ sides __________
5. 11 sides __________ sides __________
If the following polygons are regular polygons, find the measurement of each interior angle. Formula:
1. triangle __________ gon __________
2. quadrilateral __________ gon __________
3. 12-gon __________ gon __________
4. 28-gon __________ gon __________
5. octagon __________ gon __________
What is the total number of diagonals that can be drawn for a convex polygon with…. Formula:
1. triangle __________ sides __________
2. 10 sides __________ sides __________
3. 8 sides __________ sides __________
4. 2 sides __________ sides __________
5. 5 sides __________ sides __________

4. Geometry Name: __________________________
Mixed Review Date: __________________________ 1. 2.
NO diagonals can be drawn in a given regular polygon.
There can be 2 diagonals drawn in a given regular polygon.
How many sides does the polygon have? ___________
What is the name of the polygon?
________________________________________
What is the sum of the interior angles? __________
What is the measure of each interior angle? _______
What is the sum of the exterior angles? __________
What is the measure of each exterior angle? ______
How many sides does the polygon have? ___________
What is the name of the polygon?
________________________________________
What is the sum of the interior angles? __________
What is the measure of each interior angle? _______
What is the sum of the exterior angles? __________
What is the measure of each exterior angle? ______ 3. 4.
The measure of each interior angle of a regular polygon is 144.
The measure of each interior angle of a regular polygon is 60.
What is the sum of the interior angles? __________
How many sides does the polygon have? ___________
What is the name of the polygon?
________________________________________
What is the sum of the exterior angles? __________
What is the measure of each exterior angle? ______
How many diagonals can be drawn? ______________
What is the sum of the interior angles? __________
How many sides does the polygon have? ___________
What is the name of the polygon?
________________________________________
What is the sum of the exterior angles? __________
What is the measure of each exterior angle? ______
How many diagonals can be drawn? ______________