Rectilinear Figures
ICSE · Class 9 · Mathematics
Flashcards for Rectilinear Figures — ICSE Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
What is a rectilinear figure? Give an example.
Answer
A rectilinear figure is a plane figure bounded by straight lines. It means 'along a straight line' or 'forming a straight line'. Example: Triangle, quadrilateral, pentagon, hexagon are all rectilinear
What is the formula for the sum of interior angles of an n-sided polygon?
Answer
Sum of interior angles = (2n - 4) right angles = (2n - 4) × 90° Where n is the number of sides. For example, in a pentagon (n=5): Sum = (2×5-4)×90° = 540°
What is the sum of exterior angles of any polygon?
Answer
The sum of exterior angles of any polygon is always 4 right angles = 360°. This is true regardless of the number of sides. Each exterior angle is formed when a side is produced (extended).
Define a regular polygon and give its key properties.
Answer
A regular polygon is a polygon with: 1. All sides equal 2. All interior angles equal 3. All exterior angles equal Key formulas: - Each interior angle = (2n-4)×90°/n - Each exterior angle = 360°/n Ex
What is a parallelogram and what are its key properties?
Answer
A parallelogram is a quadrilateral with opposite sides parallel. Key Properties: 1. Opposite sides are equal and parallel 2. Opposite angles are equal 3. Consecutive angles are supplementary (sum = 1
What makes a rectangle different from a general parallelogram?
Answer
A rectangle is a parallelogram with additional properties: 1. All angles are 90° (right angles) 2. Diagonals are equal in length 3. Diagonals bisect each other It has all properties of a parallelogra
What are the special properties of a rhombus?
Answer
A rhombus is a parallelogram with: 1. All sides equal 2. Diagonals bisect each other at 90° 3. Diagonals bisect the vertex angles 4. Opposite angles are equal 5. Adjacent angles are supplementary Not
What makes a square the most special parallelogram?
Answer
A square combines ALL properties of rectangle and rhombus: 1. All sides equal (like rhombus) 2. All angles = 90° (like rectangle) 3. Diagonals are equal AND perpendicular 4. Diagonals bisect each othe
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