Quadrilaterals — Important Questions
Gujarat Board · Class 9 · Mathematics
45 important questions from Quadrilaterals for Gujarat Board Class 9 Mathematics, with answers. Part of the Gujarat Board Class 9 Mathematics syllabus.
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Important Questions from Quadrilaterals
Which of the following properties are true for a rhombus? (Select all correct answers)
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All sides are equal, Diagonals bisect each other at right angles, Opposite sides are parallel
A rhombus has all sides equal and diagonals that bisect each other at right angles. It's also a parallelogram, so opposite sides are parallel. However, angles are not necessarily 90° (that would make it a square), and diagonals are not necessarily equal in length.
In square ABCD, if the length of diagonal AC = 10√2 cm, what is the side length of the square?
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10 cm
In a square, if side length is 'a', then diagonal = a√2. Given diagonal = 10√2 cm, so a√2 = 10√2, which gives a = 10 cm. We can verify: side = diagonal ÷ √2 = 10√2 ÷ √2 = 10 cm.
Which of the following statements about parallelograms are correct? (Select all correct answers)
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Diagonals bisect each other, Adjacent angles are supplementary, Opposite sides are equal
In a parallelogram: (1) Diagonals bisect each other, (2) Adjacent angles are supplementary (add up to 180°), (3) Opposite sides are equal. However, diagonals are not necessarily perpendicular (only in rhombus), and angles are not necessarily equal (only opposite angles are equal).
In parallelogram WXYZ, if angle W = 110°, what is the measure of angle X?
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70°
In a parallelogram, adjacent angles are supplementary (they add up to 180°). Since W and X are adjacent angles, angle W + angle X = 180°. Therefore, angle X = 180° - 110° = 70°.
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