1. Geometry Name: __________________________ Unit 4 WS 2Date: __________________________ Identify the polygon by name, whether it is convex or non convex, and whether it is regular or irregular. 1. 2. 3. 3 5 4 Regular Irregular Regular Irregular Regular Irregular Convex Non Convex Convex Non Convex Convex Non Convex How many diagonals in a… 1. Triangle_______ 2. Heptagon_______ 3. Octagon_______ 4. Quadrilateral_______ 5. Pentagon_______ How many sides in a… 1. Nonagon_______ 2. Quadrilateral_______ 3. Decagon_______ 4. Hexagon_______ 5. Octagon_______ Sum of the exterior angles in a… 1. Nonagon_______ 2. Pentagon_______ 3. Octagon_______ 4. 11-sided polygon_______ 5. Decagon_______ Sum of the interior angles in a… 1. Triangle_______ 2. Heptagon_______ 3. Hexagon_______ 4. Quadrilateral_______ 5. 13-sided polygon_______

2. Geometry Name: __________________________ Unit 4 Date: __________________________ Name: ___________________________________ Sum of the Interior Angles: ___________________ Sum of the Exterior Angles: ___________________ Number of Diagonals: ________________________ Name: ___________________________________ Sum of the Interior Angles: ___________________ Sum of the Exterior Angles: ___________________ Number of Diagonals: ________________________ Name: ___________________________________ Sum of the Interior Angles: ___________________ Sum of the Exterior Angles: ___________________ Number of Diagonals: ________________________ Name: ___________________________________ Sum of the Interior Angles: ___________________ Sum of the Exterior Angles: ___________________ Number of Diagonals: ________________________ 1.2. 3.4. A BC AB C D E F A B C E B D A D C x = ________ m  A = ______ m  B = ______ m  C = ______ x = ________ m  A = ______ m  B = ______ m  C = ______ m  D = ______ x = ________ m  A = ______ m  B = ______ m  C = ______ m  D = ______ m  E = ______ m  F = ______ x = ________ m  A = ______ m  B = ______ m  C = ______ m  D = ______ m  E = ______ Directions: Solve each algebra connection problem; show all work; answer all questions. 3x 4x Remember: When lines are parallel, same side interior angles are supplementary. 6x - 1 100 + 3x 24x 10x + 25 30x - 5 38x + 1 29x 45x + 1

3. Geometry Name: __________________________ Unit 4 WS 3Date: __________________________ 3. 1.2. 4. The measure of each exterior angle of a regular polygon is 36. The measure of each exterior angle of a regular polygon is 60. What is the sum of the exterior angles? __________ 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? _______ How many diagonals can be constructed? __________ What is the sum of the exterior angles? __________ 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? _______ How many diagonals can be constructed? __________ The measure of each exterior angle of a regular polygon is 120. The measure of each exterior angle of a regular polygon is 15. What is the sum of the exterior angles? __________ 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? _______ How many diagonals can be constructed? __________ What is the sum of the exterior angles? __________ 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? _______ How many diagonals can be constructed? __________

4. Geometry Name: __________________________ Unit 4 WS 3Date: __________________________ 3. 1.2. 4. The measure of each interior angle of a regular polygon is 140. The measure of each interior angle of a regular polygon is 156. 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? ______________ The measure of each interior angle of a regular polygon is 135. The measure of each interior angle of a regular polygon is 108. 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? ______________

5. Geometry Name: __________________________ Unit 4 - PolygonsDate: __________________________ 3x + 6 x - 5 M N 3. x = ______ m  M = _____ m  O = _____ m  N = _____ m  P = _____ 3x - 6 5x x = _______ m  D = _______ m  F = _______ m  G = _______ 3x + 9 2x - 3 x + 18 x = _______ m  A = _______ m  B = _______ m  C = _______ A B C D F G 1.2. 4. x = ______ y = ______ z = ______ length of each side = ______ (5x)˚ (3y)˚ 3z - 8 z + 2 NOTE: The figure is regular! P O x + 5 3x - 6 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 diagonals can be constructed? __________ 5. Given: regular 18-sided polygon