Geometry Quadrilateral 3 — Questions and Answers
Question 1: In a kite, which pair of angles is always equal?
- The angles between unequal sides
- All four angles
- The angles between the two pairs of equal sides (Correct answer)
- The opposite angles only
Correct answer: The angles between the two pairs of equal sides
A kite has one pair of equal angles located where the unequal-length sides meet the equal ones.
Question 2: The diagonals of a rhombus measure 6 cm and 8 cm. What is its area?
- 48 cm²
- 24 cm² (Correct answer)
- 14 cm²
- 28 cm²
Correct answer: 24 cm²
Area of a rhombus = ½ × d₁ × d₂ = ½ × 6 × 8 = 24 cm².
Question 3: Which quadrilateral has diagonals that are perpendicular but NOT necessarily equal?
- Rectangle
- Rhombus (Correct answer)
- Isosceles trapezoid
- Square
Correct answer: Rhombus
A rhombus has perpendicular diagonals that are generally different lengths.
Question 4: Opposite angles of a parallelogram are 3x and (x+40). What is x?
- 10
- 20 (Correct answer)
- 40
- 30
Correct answer: 20
Opposite angles are equal, so 3x = x + 40, giving x = 20.
Question 5: How many lines of symmetry does a rectangle (non-square) have?
- 4
- 1
- 2 (Correct answer)
- 0
Correct answer: 2
A non-square rectangle has two lines of symmetry through the midpoints of opposite sides.
Question 6: The sum of the interior angles of any quadrilateral is:
- 180°
- 270°
- 360° (Correct answer)
- 540°
Correct answer: 360°
A quadrilateral can be split into two triangles, giving 2 × 180° = 360°.
Question 7: Which is NOT a property of a parallelogram?
- Opposite sides are parallel
- Opposite sides are equal
- Diagonals are always equal (Correct answer)
- Opposite angles are equal
Correct answer: Diagonals are always equal
A parallelogram's diagonals bisect each other but are not equal unless it is a rectangle.
Geometry Quadrilateral 3
In a kite, which pair of angles is always equal?