Special Type of Quadrilaterals
ICSE · Class 8 · Mathematics
Practice quiz for Special Type of Quadrilaterals — ICSE Class 8 Mathematics. MCQs and questions with answers to test your preparation.
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Quick Quiz: Special Type of Quadrilaterals
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In parallelogram ABCD, the diagonals intersect at O. If OA = 7 cm and OC = 7 cm more than OA, what is the length of AC?
A parallelogram has adjacent sides in the ratio 5:3 and perimeter 96 cm. What are the two side lengths?
In a rectangle ABCD, diagonals AC and BD intersect at O. If OA = 2x + 6 cm and OD = 3x + 3 cm, find x.
In a rhombus ABCD, one diagonal BD is equal to each side, and each side is 10 cm. What are the angles of the rhombus?
Sample Questions
In parallelogram ABCD, the bisectors of adjacent angles A and D meet at P. What is angle APD?
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90°
Adjacent angles of a parallelogram are supplementary, so angle A + angle D = 180°. Their bisectors cut these angles into halves, so angle PAD + angle PDA = 90°. In triangle APD, the remaining angle APD must be 90°.
In parallelogram ABCD, X and Y are points on diagonal BD such that DX = BY. If BC = 12 cm and AD = 12 cm, what can be concluded about quadrilateral AXCY?
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It is a parallelogram
Using the given equal parts on diagonal BD and the equal opposite sides of a parallelogram, triangles can be shown congruent in two pairs. This gives AX = CY and AY = CX, so opposite sides of AXCY are equal. A quadrilateral with opposite sides equal is a parallelogram.
A trapezium ABCD has AB parallel to DC. If angle A is 115° and angle D is 65°, what is angle A + angle D?
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180°
Since AB is parallel to DC, angles A and D are co-interior angles. Co-interior angles on the same side of a transversal add up to 180°. So 115° + 65° = 180°.
A square has side length 8 cm. What is the perimeter?
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32 cm
All sides of a square are equal. Perimeter = 4 × side = 4 × 8 = 32 cm.
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