Parallelograms II — O/L Mathematics

How do I practise Parallelograms II?

1 question with a worked solution

1. Which of the following conditions is sufficient to prove that a quadrilateral is a parallelogram?
   1. A) The diagonals are perpendicular to each other.
   2. B) Two adjacent sides are equal in length.
   3. C) One pair of opposite sides is both equal and parallel.
   4. D) One pair of opposite angles is equal.
   Check my answer

   Correct answer: C) One pair of opposite sides is both equal and parallel.

   By theorem, a quadrilateral is a parallelogram if one pair of opposite sides is both equal in length and parallel to each other.

   Show worked solution

   Step 1: Review conditions for a parallelogram: (1) Both pairs of opposite sides parallel, (2) Both pairs of opposite sides equal, (3) One pair of opposite sides equal AND parallel, (4) Diagonals bisect each other. Step 2: Evaluate options: 'One pair of opposite sides is both equal and parallel' matches condition 3. Answer: One pair of opposite sides is both equal and parallel.
   Modelled on: the O/L Mathematics examination pattern

Get this auto-marked

Next in the syllabus

Where does Parallelograms II fit in the syllabus?

Grade 10 · Term 2