A quadrilateral has exactly one pair of parallel sides and exactly one right angle. Which of the following shapes must it be?
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Worked Solution
Check each shape:
Parallelogram: 2 pairs parallel sides — FAILS.
Rhombus: 2 pairs parallel sides, no right angles — FAILS.
Rectangle: 2 pairs parallel sides, 4 right angles — FAILS.
Trapezium: exactly 1 pair of parallel sides — PASSES.
A right-angled trapezium also has exactly one right angle — PASSES.
Answer: Trapezium.
Correct answer: Trapezium
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