1) a) Is this figure a polygon? Yes or No
b) If yes to part a: Name the polygon based on the number of sides. If no to part a, explain why it is not a polygon. c) If yes to part a: Classify the polygon as “Convex” or “Concave”. d) If “Convex” in part c: Is the polygon regular? Yes or No. e) If yes to part a: Determine the sum of the interior angles. |
2) a) Is this figure a polygon? Yes or No
b) If yes to part a: Name the polygon based on the number of sides. If no to part a, explain why it is not a polygon. c) If yes to part a: Classify the polygon as “Convex” or “Concave”. d) If “Convex” in part c: Is the polygon regular? Yes or No. e) If yes to part a: Determine the sum of the interior angles. |
3) a) Is this figure a polygon? Yes or No
b) If yes to part a: Name the polygon based on the number of sides. If no to part a, explain why it is not a polygon. c) If yes to part a: Classify the polygon as “Convex” or “Concave”. d) If “Convex” in part c: Is the polygon regular? Yes or No. e) If yes to part a: Determine the sum of the interior angles. |
4) a) Is this figure a polygon? Yes or No
b) If yes to part a: Name the polygon based on the number of sides. If no to part a, explain why it is not a polygon. c) If yes to part a: Classify the polygon as “Convex” or “Concave”. d) If “Convex” in part c: Is the polygon regular? Yes or No. e) If yes to part a: Determine the sum of the interior angles. |
7) a) Is this figure a polygon? Yes or No
b) If yes to part a: Name the polygon based on the number of sides. If no to part a, explain why it is not a polygon. c) If yes to part a: Classify the polygon as “Convex” or “Concave”. d) If “Convex” in part c: Is the polygon regular? Yes or No. e) If yes to part a: Determine the sum of the interior angles. |
9) a) Is this figure a polygon? Yes or No
b) If yes to part a: Name the polygon based on the number of sides. If no to part a, explain why it is not a polygon. c) If yes to part a: Classify the polygon as “Convex” or “Concave”. d) If “Convex” in part c: Is the polygon regular? Yes or No. e) If yes to part a: Determine the sum of the interior angles. |
10) a) Is this figure a polygon? Yes or No
b) If yes to part a: Name the polygon based on the number of sides. If no to part a, explain why it is not a polygon. c) If yes to part a: Classify the polygon as “Convex” or “Concave”. d) If “Convex” in part c: Is the polygon regular? Yes or No. e) If yes to part a: Determine the sum of the interior angles. |
11) a) Is this figure a polygon? Yes or No
b) If yes to part a: Name the polygon based on the number of sides. If no to part a, explain why it is not a polygon. c) If yes to part a: Classify the polygon as “Convex” or “Concave”. d) If “Convex” in part c: Is the polygon regular? Yes or No. e) If yes to part a: Determine the sum of the interior angles. |
12) a) Is this figure a polygon? Yes or No
b) If yes to part a: Name the polygon based on the number of sides. If no to part a, explain why it is not a polygon. c) If yes to part a: Classify the polygon as “Convex” or “Concave”. d) If “Convex” in part c: Is the polygon regular? Yes or No. e) If yes to part a: Determine the sum of the interior angles. |
13) A polygon has interior angles measuring \(172^{\circ}\), \(83^{\circ}\), \(163^{\circ}\), \(159^{\circ}\), \(179^{\circ}\), \(90^{\circ}\), \(156^{\circ}\), \(168^{\circ}\), \(195^{\circ}\), \(166^{\circ}\), \(150^{\circ}\), and \((4x)^{\circ}\).
a) Find the value of \(x\) that will create this polygon.
b) Classify this polygon as “Convex” or “Concave”.
c) Is the polygon regular? Yes or No.
14) a) What is the name of a regular polygon with \(13\) sides?
b) What is the sum of the interior angle measures?
c) What is the measure of one of the exterior angles?
15) Given a regular octagon
a) What is the measure of one of the interior angles of the octagon?
b) What is the measure of one of the exterior angles of the octagon?
16) Given a regular hexagon
a) What is the sum of the measures of the interior angles of the hexagon?
b) What is the sum of the measures of the exterior angles of the hexagon?
17) What is the sum of the measures of the interior angles of a heptagon?
18) What is \(m\angle{P}\) in regular pentagon \(PENTA\)?
19) One interior angle of a regular polygon is \(144^{\circ}\). What is the name of the polygon?
20) One interior angle of a regular polygon is \(\large\frac{900}{7}^{\circ}\). What is the name of the polygon?
21) One interior angle of a regular polygon is \(168.75^{\circ}\). What is the name of the polygon?
22) One exterior angle of a regular polygon is \(5.625^{\circ}\). What is the name of the polygon?
Solution Bank
a) Find the value of \(x\) that will create this polygon.
b) Classify this polygon as “Convex” or “Concave”.
c) Is the polygon regular? Yes or No.
14) a) What is the name of a regular polygon with \(13\) sides?
b) What is the sum of the interior angle measures?
c) What is the measure of one of the exterior angles?
15) Given a regular octagon
a) What is the measure of one of the interior angles of the octagon?
b) What is the measure of one of the exterior angles of the octagon?
16) Given a regular hexagon
a) What is the sum of the measures of the interior angles of the hexagon?
b) What is the sum of the measures of the exterior angles of the hexagon?
17) What is the sum of the measures of the interior angles of a heptagon?
18) What is \(m\angle{P}\) in regular pentagon \(PENTA\)?
19) One interior angle of a regular polygon is \(144^{\circ}\). What is the name of the polygon?
20) One interior angle of a regular polygon is \(\large\frac{900}{7}^{\circ}\). What is the name of the polygon?
21) One interior angle of a regular polygon is \(168.75^{\circ}\). What is the name of the polygon?
22) One exterior angle of a regular polygon is \(5.625^{\circ}\). What is the name of the polygon?
Solution Bank