Quadrilaterals — Important Questions
Telangana Board · Class 9 · Mathematics
43 important questions from Quadrilaterals for Telangana Board Class 9 Mathematics, with answers. Includes multiple choice questions.
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Important Questions from Quadrilaterals
In parallelogram PQRS, if angle P = 110°, what is the measure of angle Q?
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70°
Step 1: In a parallelogram, adjacent angles are supplementary (sum = 180°). Step 2: Angle P and angle Q are adjacent angles. Step 3: Therefore, angle P + angle Q = 180°. Step 4: 110° + angle Q = 180°, so angle Q = 180° - 110° = 70°.
Which property is true for all rectangles?
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All angles are 90°
Step 1: A rectangle is a parallelogram with one angle equal to 90°. Step 2: Since opposite angles are equal in a parallelogram, if one angle is 90°, the opposite angle is also 90°. Step 3: Since adjacent angles are supplementary (sum = 180°), if one angle is 90°, the adjacent angle is also 90°. Step 4: Therefore, all four angles in a rectangle are 90°.
In rhombus ABCD, all sides are 7 cm. What is the perimeter?
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28 cm
Step 1: A rhombus has all four sides equal in length. Step 2: Given that each side = 7 cm. Step 3: Perimeter = sum of all four sides = 7 + 7 + 7 + 7. Step 4: Perimeter = 4 × 7 = 28 cm.
If ABCD is a parallelogram and diagonal AC = 10 cm, BD = 8 cm, and they intersect at O, what is AO?
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5 cm
Step 1: In a parallelogram, diagonals bisect each other. Step 2: This means each diagonal is divided into two equal parts at the intersection point. Step 3: Since AC = 10 cm and O is the midpoint of AC, AO = AC/2. Step 4: AO = 10/2 = 5 cm.
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