arrow_backBack to Study Resources

Quiz Chapter 9: Basic Polygons

10 questions · Form 1 Mathematics Bab 9: Basic Polygons

Question 1 of 10Score: 0

How many diagonals does a hexagon have?

Full Question List & Answer Key

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

1. How many diagonals does a hexagon have?

  1. 6
  2. 14
  3. 9
  4. 5
Show answer

Answer: C

For a hexagon, n = 6. Diagonals = 66 - 32 = 632 = 9.

2. What is the formula to calculate the number of diagonals in an n-sided polygon?

  1. nn - 22
  2. nn - 32
  3. (n - 2) × 180
  4. nn + 32
Show answer

Answer: B

The formula to determine the total number of diagonals in an n-sided polygon is nn - 32.

3. In an isosceles triangle ABC where AB = AC, if the vertex angle A is 40°, calculate the measure of base angle B.

  1. 70°
  2. 140°
  3. 40°
  4. 100°
Show answer

Answer: A

Base angles are equal. Sum = 180°. Angle B = 180° - 40°2 = 140° / 2 = 70°.

4. An exterior angle of a triangle is 115°, and one of its opposite interior angles is 45°. Find the other opposite interior angle.

  1. 65°
  2. 70°
  3. 135°
  4. 160°
Show answer

Answer: B

An exterior angle equals the sum of two opposite interior angles: 115° = 45° + interior angle => interior angle = 115° - 45° = 70°.

5. Which quadrilateral has ONLY ONE pair of parallel sides?

  1. Rhombus
  2. Parallelogram
  3. Trapezium
  4. Kite
Show answer

Answer: C

By definition, a trapezium is a quadrilateral with only one pair of parallel sides.

6. What is the sum of interior angles of any quadrilateral?

  1. 180°
  2. 540°
  3. 360°
  4. 270°
Show answer

Answer: C

Every quadrilateral can be divided into two triangles, making the sum of its interior angles 2 × 180° = 360°.

7. Three interior angles of a quadrilateral are 85°, 110°, and 95°. Calculate the fourth angle.

  1. 60°
  2. 70°
  3. 80°
  4. 90°
Show answer

Answer: B

Sum of quadrilateral angles = 360°. Fourth angle = 360° - (85° + 110° + 95°) = 360° - 290° = 70°.

8. Which triangle has 3 lines of symmetry and all interior angles equal to 60°?

  1. Isosceles triangle
  2. Scalene triangle
  3. Equilateral triangle
  4. Right-angled triangle
Show answer

Answer: C

An equilateral triangle has 3 equal sides, 3 equal angles of 60°, and 3 lines of symmetry.

9. If a triangle has angle measurements of 35°, 55°, and 90°, what type of triangle is it?

  1. Obtuse-angled triangle
  2. Equilateral triangle
  3. Right-angled triangle
  4. Isosceles triangle
Show answer

Answer: C

Because one interior angle measures exactly 90°, it is classified as a right-angled triangle.

10. If the angles of a triangle are in the ratio 1 : 2 : 3, find the largest angle.

  1. 30°
  2. 60°
  3. 90°
  4. 120°
Show answer

Answer: C

Total parts = 1 + 2 + 3 = 6. Total angle = 180°. Each part = 180° / 6 = 30°. Largest angle = 3 × 30° = 90°.

Sponsored