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Special Type of Quadrilaterals — Practice Quiz

ICSE · Class 8 · Mathematics

Try a 4-question quiz on Special Type of Quadrilaterals for ICSE Class 8 Mathematics: tap an answer to check it and see why.

53 questions27 flashcards9 formulas & key relations5 concepts

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Quick Quiz: Special Type of Quadrilaterals

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1

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?

2

A parallelogram has adjacent sides in the ratio 5:3 and perimeter 96 cm. What are the two side lengths?

3

In a rectangle ABCD, diagonals AC and BD intersect at O. If OA = 2x + 6 cm and OD = 3x + 3 cm, find x.

4

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?

53 Questions·
multiple choicemultiple correcttrue false

Sample Questions

1multiple choice
3 marks

In parallelogram ABCD, the bisectors of adjacent angles A and D meet at P. What is angle APD?

Show answer

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°.

2multiple choice
3 marks

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?

Show answer

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.

3multiple choice
3 marks

A trapezium ABCD has AB parallel to DC. If angle A is 115° and angle D is 65°, what is angle A + angle D?

Show answer

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°.

4multiple choice
3 marks

A square has side length 8 cm. What is the perimeter?

Show answer

32 cm

All sides of a square are equal. Perimeter = 4 × side = 4 × 8 = 32 cm.

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Frequently Asked Questions

What are the important topics in Special Type of Quadrilaterals for ICSE Class 8 Mathematics?
Key topics in Special Type of Quadrilaterals include Quadrilateral and Trapezium, Parallelogram and Its Properties, Rectangle, Rhombus. Study these first, then practise questions on each for Class 8 exams.
How many practice questions are there for Special Type of Quadrilaterals?
There are 53 questions on Special Type of Quadrilaterals. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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