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UCE (O-Level) Euclidean geometry — practice questions

Explore 6 free Euclidean geometry questions in UCE (O-Level) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Euclidean geometry questions and exercises with answers

Showing questions 1–6 of 6.

A quadrilateral has both pairs of opposite sides parallel. What is it called?Read the answer and worked solution →A quadrilateral has exactly one pair of opposite sides parallel. What is it called?Read the answer and worked solution →What is the defining property of a kite?Read the answer and worked solution →In which quadrilateral do the diagonals bisect both pairs of opposite angles?Read the answer and worked solution →The mid-points of two sides of a triangle are joined by a straight line. What is true of that line?Read the answer and worked solution →Match each shape to its propertyRead the answer and worked solution →

Worked practice questions

A quadrilateral has both pairs of opposite sides parallel. What is it called?

  1. A trapezium
  2. A kite figure
  3. A parallelogram
  4. A round shape
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Correct answer: C. A parallelogram

1. A quadrilateral is a closed shape made of four straight line segments. 2. A parallelogram is a quadrilateral with both pairs of opposite sides parallel. 3. Both pairs of opposite sides are then also equal in length. 4. Both pairs of opposite angles are equal and the diagonals bisect each other. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 12: Euclidean geometry_

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A quadrilateral has exactly one pair of opposite sides parallel. What is it called?

  1. A rhombus
  2. A rectangle
  3. A square
  4. A trapezium
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Correct answer: D. A trapezium

1. A parallelogram has both pairs of opposite sides parallel. 2. A trapezium is a quadrilateral with one pair of opposite sides parallel. 3. Only one pair is parallel, so a trapezium is not a parallelogram. 4. Rhombuses, rectangles and squares are all special parallelograms, so each has two parallel pairs. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 12: Euclidean geometry_

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What is the defining property of a kite?

  1. Two pairs of adjacent sides equal
  2. Two pairs of opposite sides equal
  3. One pair of parallel sides only
  4. Four sides of the same length
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Correct answer: A. Two pairs of adjacent sides equal

1. Adjacent sides are sides that meet at a corner of the quadrilateral. 2. A kite is a quadrilateral with two pairs of adjacent sides equal. 3. One pair of opposite angles is equal, namely the angles that lie between the unequal sides. 4. Having two pairs of opposite sides equal describes a parallelogram instead. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 12: Euclidean geometry_

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