Maths - Geometry Definitions

Geometry Definitions

  1. What is a point?
    Answer: A point represents an exact position in space. It has no size.
    Example: A dot marked on paper is called point A.

  2. What is a line?
    Answer: A line is a straight path that extends endlessly in both directions.
    Example: The edge of a ruler represents a line.

  3. What is a line segment?
    Answer: A line segment is a part of a line with two fixed endpoints.
    Example: The line joining points A and B is written as AB.

  4. What is a ray?
    Answer: A ray starts at one point and extends infinitely in one direction.
    Example: Sunlight coming from the sun can be thought of as rays.

  5. What is an angle?
    Answer: An angle is formed when two rays meet at a common point (vertex).
    Example: The corner of a book forms an angle.

  6. What are the types of angles?
    Answer:

  • Acute angle: less than 90° (e.g., 45°)
  • Right angle: exactly 90°
  • Obtuse angle: more than 90° but less than 180° (e.g., 120°)
  • Straight angle: exactly 180°
  1. What is a triangle?
    Answer: A triangle is a polygon with three sides and three angles.
    Example: A triangle with sides 3 cm, 4 cm, and 5 cm.

  2. What is the sum of the angles of a triangle?
    Answer: The sum of all interior angles in a triangle is 180°.
    Example: 60° + 70° + 50° = 180°.

  3. What is a quadrilateral?
    Answer: A quadrilateral is a polygon with four sides.
    Example: Rectangle, square, trapezium.

  4. What is the sum of interior angles of a quadrilateral?
    Answer: The sum is 360°.
    Example: 90° + 80° + 100° + 90° = 360°.

  5. What is a rectangle?
    Answer: A rectangle is a quadrilateral with opposite sides equal and all angles 90°.
    Example: A book or a door shape.

  6. What is a square?
    Answer: A square is a quadrilateral with all sides equal and all angles 90°.
    Example: A chessboard square.

  7. What is a circle?
    Answer: A circle is a set of points that are all at the same distance from a center.
    Example: A coin.

  8. What is the radius of a circle?
    Answer: The distance from the center to any point on the circle.
    Example: If the radius is 5 cm, every point on the circle is 5 cm from the center.

  9. What is the diameter of a circle?
    Answer: A line passing through the center connecting two points on the circle.
    Example: If radius = 5 cm, diameter = 10 cm.

  10. What is perimeter?
    Answer: The total distance around a shape.
    Example: A square with side 4 cm → Perimeter = 4 + 4 + 4 + 4 = 16 cm.

  11. What is area?
    Answer: The space inside a shape.
    Example: A square of side 4 cm has area = 16 cm².

  12. What is the formula for the area of a rectangle?
    Answer:

    Example: If length = 6 cm and breadth = 3 cm, area = 18 cm².

  13. What is the formula for the area of a triangle?
    Answer:


    Example: If base = 8 cm and height = 5 cm, area = 20 cm².

  14. What is the Pythagorean Theorem?
    Answer:


    Example: If a = 3 cm and b = 4 cm, then c = 5 cm.

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