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Quiz Chapter 4: Polygon

10 questions · Form 2 Mathematics Bab 4: Polygon

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. Calculate the exterior angle of a regular octagon (8 sides).

  1. 60°
  2. 45°
  3. 135°
  4. 50°
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Answer: B

Exterior angle of a regular polygon = 360° / n = 360° / 8 = 45°.

2. What is the sum of the interior angles of a hexagon (6 sides)?

  1. 540°
  2. 1080°
  3. 720°
  4. 900°
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Answer: C

Formula: (n - 2) × 180°. For n = 6: (6 - 2) × 180° = 4 × 180° = 720°.

3. If the sum of interior angles of a polygon is 1440°, how many sides does it have?

  1. 8
  2. 10
  3. 12
  4. 14
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Answer: B

(n - 2) × 180° = 1440° => n - 2 = 1440180 = 8 => n = 10 sides.

4. Each interior angle of a regular polygon is 140°. Find the number of sides of this polygon.

  1. 9
  2. 8
  3. 10
  4. 12
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Answer: A

Exterior angle = 180° - 140° = 40°. Number of sides n = 360° / 40° = 9.

5. How many triangles are formed inside an n-sided polygon when line segments are drawn from a single vertex to all other non-adjacent vertices?

  1. n
  2. n - 1
  3. n - 2
  4. n - 3
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Answer: C

Connecting one vertex to all non-adjacent vertices divides an n-sided polygon into (n - 2) triangles.

6. In a quadrilateral, three exterior angles measure 80°, 100°, and 110°. Find the fourth exterior angle.

  1. 70°
  2. 90°
  3. 80°
  4. 60°
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Answer: A

Sum of exterior angles = 360°. Fourth exterior angle = 360° - (80° + 100° + 110°) = 360° - 290° = 70°.

7. What is the sum of the exterior angles of a nonagon (9 sides)?

  1. 360°
  2. 1260°
  3. 720°
  4. 540°
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Answer: A

The sum of the exterior angles of ANY polygon is always 360°.

8. An interior angle of a regular polygon is 5 times its exterior angle. How many sides does this polygon have?

  1. 10
  2. 12
  3. 14
  4. 16
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Answer: B

Let exterior angle = e. Interior angle = 5e. 5e + e = 180° => 6e = 180° => e = 30°. Number of sides n = 360° / 30° = 12.

9. If the interior angle of a regular polygon is 150°, find the number of sides.

  1. 10
  2. 12
  3. 14
  4. 15
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Answer: B

Exterior angle = 180° - 150° = 30°. Number of sides n = 360° / 30° = 12.

10. Which statement is FALSE regarding regular polygons?

  1. All interior angles are congruent
  2. All sides have equal length
  3. The number of symmetry lines equals the number of vertices
  4. The sum of interior angles is always 360°
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Answer: D

The sum of interior angles depends on the number of sides (n - 2) × 180°. It is only 360° for a 4-sided polygon (quadrilateral).

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