Quadrilaterals — Practice

Q1. A quadrilateral is best described as

• A. A closed figure formed by four sides
• B. Any closed figure formed by straight lines
• C. A three-sided closed figure
• D. Any figure with four corners, open or closed

Q2. The word 'quadrilateral' is derived from two Latin words. these mean

• A. Four and angles
• B. Four and sides
• C. Many and sides
• D. Closed and four

Q3. On, Figures (iv) and (v) are NOT quadrilaterals because

• A. They have more than four sides
• B. They have right angles
• C. One has a curved side and the other has self-crossing sides
• D. They are too small to measure

Q4. The first definition of a rectangle states that all the angles are 90° AND

• A. All four sides are equal
• B. Diagonals are perpendicular
• C. It has only one pair of parallel sides
• D. Opposite sides are of equal length

Q5. In the Carpenter's Problem one wooden strip is 8 cm long. deduces that the other strip must be

• A. 4 cm
• B. 8 cm
• C. 16 cm
• D. Any length the carpenter chooses

Q6. Concludes that the diagonals of a rectangle

• A. Always intersect at their midpoints
• B. Are perpendicular to each other
• C. Bisect the angles of the rectangle
• D. Are unequal in length

Q7. The simplest definition of a rectangle as a quadrilateral in which

• A. Opposite sides are equal
• B. Diagonals are equal
• C. All the angles are 90°
• D. All sides are equal

Q8. A square is defined as a quadrilateral in which

• A. All sides are equal but the angles may vary
• B. Only the diagonals are equal
• C. Two pairs of opposite sides are parallel
• D. All angles are 90° and all sides are of equal length

Q9. A relationship between squares and rectangles. Which of these is correct?

• A. Every rectangle is a square, but every square is not a rectangle
• B. Every square is a rectangle, but every rectangle is not a square
• C. A square and a rectangle are the same figure
• D. Neither is included in the other

Q10. Proves that the sum of all four angles in any quadrilateral is

• A. 180°
• B. 270°
• C. 360°
• D. 540°

Q11. Aarti measures three angles of a quadrilateral as 80°, 100° and 90°. Using the angle-sum result the fourth angle is

• A. 80°
• B. 100°
• C. 90°
• D. 110°

Q12. A parallelogram is defined as a quadrilateral in which

• A. All sides are equal
• B. All angles are 90°
• C. The opposite sides are parallel
• D. The diagonals are perpendicular

Q13. In a parallelogram, proves that the opposite angles are

• A. Supplementary (add to 180°)
• B. Always 90°
• C. Complementary (add to 90°)
• D. Equal to each other

Q14. A rhombus is defined as a quadrilateral in which

• A. All the sides have the same length
• B. Only opposite sides are equal
• C. All the angles are 90°
• D. Only one pair of sides is parallel

Q15. A trapezium is defined as a quadrilateral with

• A. Both pairs of opposite sides parallel
• B. All four sides equal
• C. At least one pair of parallel opposite sides
• D. Diagonals that bisect each other