Rectilinear Figures — Important Questions
ICSE · Class 9 · Mathematics
39 important questions from Rectilinear Figures for ICSE Class 9 Mathematics, with answers. Includes multiple choice and multiple correct questions.
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Important Questions from Rectilinear Figures
Which properties are true for a rhombus?
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All sides are equal, Diagonals bisect each other at right angles, Opposite angles are equal
Step 1: A rhombus has all sides equal (definition). Step 2: Its diagonals bisect each other at 90° (property). Step 3: Opposite angles are equal (parallelogram property). Step 4: All angles are NOT 90° (that's a square), and diagonals are NOT equal (that's a rectangle).
In triangle ABC, if AB = BC = CA = 5 cm, and this triangle is one of the four triangles formed by the diagonals of a rhombus, find the perimeter of the rhombus.
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20 cm
Step 1: The diagonals of a rhombus divide it into 4 congruent triangles. Step 2: If the triangle has sides 5 cm each, then each side of the rhombus is 5 cm. Step 3: Perimeter = 4 × side length = 4 × 5 = 20 cm.
The sum of interior angles of a polygon is 1440°. Find the number of sides.
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10
Step 1: Use formula (2n - 4) × 90° = 1440°. Step 2: (2n - 4) = 1440°/90° = 16. Step 3: 2n - 4 = 16, so 2n = 20, therefore n = 10 sides.
In rectangle PQRS, if the length is 8 cm and breadth is 6 cm, find the length of diagonal.
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10 cm
Step 1: In a rectangle, diagonal forms a right triangle with length and breadth. Step 2: Using Pythagoras theorem: d² = l² + b² = 8² + 6² = 64 + 36 = 100. Step 3: d = √100 = 10 cm.
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