Geometry Quadrilaterals & Polygons 2 — Questions and Answers
Question 1: What is the sum of the interior angles of a hexagon?
- 540°
- 720° (Correct answer)
- 900°
- 1080°
Correct answer: 720°
Using (n-2)×180° with n=6 gives 4×180° = 720°.
Question 2: Which quadrilateral has exactly one pair of parallel sides?
- Parallelogram
- Rhombus
- Trapezoid (Correct answer)
- Rectangle
Correct answer: Trapezoid
A trapezoid is defined by having exactly one pair of parallel sides.
Question 3: The measure of each interior angle of a regular pentagon is:
- 90°
- 108° (Correct answer)
- 120°
- 135°
Correct answer: 108°
The interior angle sum 540° divided by 5 sides equals 108°.
Question 4: In a parallelogram, consecutive angles are always:
- Equal
- Complementary
- Supplementary (Correct answer)
- Right angles
Correct answer: Supplementary
Consecutive angles in a parallelogram add to 180°, making them supplementary.
Question 5: How many diagonals does a regular octagon have?
- 16
- 20 (Correct answer)
- 24
- 28
Correct answer: 20
Using n(n-3)/2 with n=8 gives 8×5/2 = 20 diagonals.
Question 6: A quadrilateral with four equal sides but no right angles is a:
- Square
- Rectangle
- Rhombus (Correct answer)
- Trapezoid
Correct answer: Rhombus
A rhombus has four congruent sides without requiring right angles.
Question 7: What is the measure of each exterior angle of a regular hexagon?
- 45°
- 60° (Correct answer)
- 72°
- 90°
Correct answer: 60°
Exterior angles of any polygon sum to 360°, so 360°/6 = 60°.
Geometry Quadrilaterals & Polygons 2
What is the sum of the interior angles of a hexagon?