Geometry Quadrilateral 2 — Questions and Answers
Question 1: A parallelogram has a base of 8 cm and a height of 5 cm. What is its area?
- 13 cm²
- 40 cm² (Correct answer)
- 26 cm²
- 20 cm²
Correct answer: 40 cm²
The area of a parallelogram equals base times height, so 8 × 5 = 40 cm².
Question 2: Which quadrilateral has exactly one pair of parallel sides?
- Rectangle
- Trapezoid (Correct answer)
- Rhombus
- Square
Correct answer: Trapezoid
A trapezoid is defined by having exactly one pair of parallel sides.
Question 3: The diagonals of which quadrilateral are always equal in length AND bisect each other?
- Rhombus
- Rectangle (Correct answer)
- Trapezoid
- Kite
Correct answer: Rectangle
A rectangle's diagonals are congruent and bisect each other.
Question 4: Three angles of a quadrilateral measure 90°, 85°, and 95°. What is the fourth angle?
- 80°
- 90° (Correct answer)
- 100°
- 85°
Correct answer: 90°
Angles of a quadrilateral sum to 360°, so 360 − (90+85+95) = 90°.
Question 5: What is the perimeter of a rhombus with a side length of 7 inches?
- 14 in
- 21 in
- 28 in (Correct answer)
- 49 in
Correct answer: 28 in
A rhombus has four equal sides, so perimeter = 4 × 7 = 28 inches.
Question 6: Which statement is TRUE for every square?
- It is also a rectangle and a rhombus (Correct answer)
- Its diagonals are unequal
- It has no right angles
- It has only one pair of parallel sides
Correct answer: It is also a rectangle and a rhombus
A square satisfies the definitions of both a rectangle and a rhombus.
Question 7: A trapezoid has parallel sides of 6 cm and 10 cm and a height of 4 cm. What is its area?
- 32 cm² (Correct answer)
- 24 cm²
- 40 cm²
- 16 cm²
Correct answer: 32 cm²
Area = ½(b₁+b₂)h = ½(6+10)(4) = 32 cm².
Geometry Quadrilateral 2
A parallelogram has a base of 8 cm and a height of 5 cm.
What is its area?