Online Test — Polygons
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
A polygon with 7 sides is called:
Hexagon
Heptagon
Octagon
Nonagon
Explanation: Heptagon has 7 sides
Question 2 of 10
Sum of interior angles of a pentagon is:
360°
450°
540°
720°
Explanation: (5-2) × 180° = 3 × 180° = 540°
Question 3 of 10
Sum of exterior angles of any polygon is:
180°
270°
360°
540°
Explanation: Exterior angle sum is always 360°
Question 4 of 10
A regular hexagon has each interior angle:
60°
90°
108°
120°
Explanation: (6-2)×180°/6 = 720°/6 = 120°
Question 5 of 10
How many sides does a regular polygon have if each exterior angle is 30°?
8
10
12
15
Explanation: n = 360°/30° = 12
Question 6 of 10
Which regular polygon tessellates by itself?
Pentagon
Hexagon
Heptagon
Octagon
Explanation: 120° × 3 = 360°, so hexagons tessellate
Question 7 of 10
A polygon where all sides and angles are equal is called:
Convex
Concave
Regular
Irregular
Explanation: Definition of regular polygon
Question 8 of 10
The sum of interior angles of an octagon is:
720°
900°
1080°
1260°
Explanation: (8-2) × 180° = 6 × 180° = 1080°
Question 9 of 10
How many diagonals does a hexagon have?
6
9
12
15
Explanation: n(n-3)/2 = 6×3/2 = 9
Question 10 of 10
A regular polygon has each interior angle = 135°. How many sides?
6
7
8
9
Explanation: (n-2)×180/n = 135; 180n-360=135n; 45n=360; n=8