Special Type of Quadrilaterals — Important Questions
ICSE · Class 8 · Mathematics
53 important questions from Special Type of Quadrilaterals for ICSE Class 8 Mathematics, with answers. Part of the ICSE Class 8 Mathematics syllabus.
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Important Questions from Special Type of Quadrilaterals
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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