Quadrilaterals — Important Questions
Maharashtra Board · Class 9 · Mathematics
44 important questions from Quadrilaterals for Maharashtra Board Class 9 Mathematics, with answers. Includes multiple choice, multiple correct and text.
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Important Questions from Quadrilaterals
Which of the following properties are TRUE for a rectangle?
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Opposite sides are equal, All angles are 90°, Diagonals are equal
A rectangle has opposite sides equal, all angles 90°, and diagonals equal. However, all sides need not be equal (that would be a square).
Which test can be used to prove that a quadrilateral is a parallelogram?
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Opposite sides are equal, Diagonals bisect each other, One pair of opposite sides is parallel and equal, Opposite angles are equal
Tests for parallelogram include: opposite sides equal, diagonals bisect each other, one pair of opposite sides parallel and equal, and opposite angles equal. All sides equal is a test for rhombus, not just parallelogram.
In a square with side 6 cm, find the length of each diagonal.
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6√2 cm
In a square with side 'a', diagonal = a√2. Here, side = 6 cm, so diagonal = 6√2 cm. Using Pythagorean theorem: d² = 6² + 6² = 72, so d = √72 = 6√2 cm.
In parallelogram WXYZ, if ∠W = 65°, find ∠X.
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115°
In a parallelogram, adjacent angles are supplementary. ∠W + ∠X = 180°. So ∠X = 180° - 65° = 115°.
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