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In which quadrilateral do the diagonals bisect both pairs of opposite angles?
AA trapezium
BA rhombus
CA kite figure
DA rectangle
Answer & Solution
Correct answer: B. A rhombus
1. A rhombus is a parallelogram that has all four sides equal in length.
2. Because all four sides match, the two triangles on either side of a diagonal are congruent.
3. The diagonals of a rhombus bisect both pairs of opposite angles.
4. In a kite only the diagonal between the equal sides bisects the interior angles, so only one pair is split.
5. A rectangle has equal diagonals that bisect each other, but they do not bisect its angles.
6. A trapezium has only one pair of parallel sides and no such diagonal property at all.
_Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 12: Euclidean geometry_
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