Geometry Quadrilaterals & Polygons 3 — Questions and Answers
Question 1: The diagonals of which quadrilateral are always equal and bisect each other?
- Rhombus
- Rectangle (Correct answer)
- Trapezoid
- Kite
Correct answer: Rectangle
A rectangle's diagonals are congruent and bisect each other.
Question 2: A polygon with all sides and all angles equal is called:
- Convex
- Concave
- Regular (Correct answer)
- Irregular
Correct answer: Regular
A regular polygon is both equilateral and equiangular.
Question 3: The diagonals of a rhombus intersect at what angle?
- 45°
- 60°
- 90° (Correct answer)
- 120°
Correct answer: 90°
A rhombus's diagonals are perpendicular, meeting at 90°.
Question 4: If a regular polygon has interior angles of 150°, how many sides does it have?
- 8
- 10
- 12 (Correct answer)
- 15
Correct answer: 12
An exterior angle of 30° gives 360°/30° = 12 sides.
Question 5: Which statement about a kite is true?
- Opposite sides are equal
- It has two pairs of adjacent equal sides (Correct answer)
- All angles are equal
- Diagonals are always equal
Correct answer: It has two pairs of adjacent equal sides
A kite has two distinct pairs of adjacent congruent sides.
Question 6: The area of a trapezoid is found using which formula?
- base × height
- ½ × base × height
- ½(b₁+b₂) × height (Correct answer)
- side²
Correct answer: ½(b₁+b₂) × height
A trapezoid's area is half the sum of the parallel bases times the height.
Question 7: A concave polygon must have at least one interior angle that is:
- Acute
- Right
- Greater than 180° (Correct answer)
- Equal to 90°
Correct answer: Greater than 180°
Concave polygons contain a reflex angle greater than 180°.
Geometry Quadrilaterals & Polygons 3
The diagonals of which quadrilateral are always equal and bisect each other?