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Introduction to Euclid's Geometry

Mathematics · Class 9 · All

MathematicsClass 9AllMedium
Q1/15
45s

Which postulate allows a line segment to be extended indefinitely?

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All 15 questions in this quiz

  1. Which statement correctly describes Euclid's approach to geometry?

    1. It is based on trial and error.
    2. It depends only on measurements.
    3. It begins with definitions, axioms, and postulates, followed by logical proofs.
    4. It ignores logical reasoning.

  2. Which of the following geometric objects extends endlessly in both directions?

    1. Ray
    2. Line segment
    3. Line
    4. Circle

  3. Which of the following is NOT a dimension of a point?

    1. Length
    2. Breadth
    3. Thickness
    4. All of these

  4. A statement accepted without proof is called

    1. Theorem
    2. Corollary
    3. Axiom
    4. Lemma

  5. The Fifth Postulate of Euclid is mainly related to

    1. Circles
    2. Parallel lines
    3. Points
    4. Line segments

  6. Euclid's Fourth Postulate states that

    1. All right angles are equal.
    2. Parallel lines never meet.
    3. Every line has two endpoints.
    4. Every circle has equal radius.

  7. Euclid's Third Postulate is related to

    1. Right angles
    2. Circles
    3. Parallel lines
    4. Triangles

  8. Which postulate allows a line segment to be extended indefinitely?

    1. First Postulate
    2. Second Postulate
    3. Third Postulate
    4. Fourth Postulate

  9. Which of the following is an axiom?

    1. Things equal to the same thing are equal to one another.
    2. Through a point outside a line only one parallel can be drawn.
    3. A circle can be drawn with any centre and radius.
    4. A line segment can be extended indefinitely.

  10. Euclid's geometry is mainly based on

    1. Experiments
    2. Measurements only
    3. Definitions, axioms, and postulates
    4. Guesswork

  11. Which of the following is Euclid's First Postulate?

    1. All right angles are equal.
    2. A straight line can be drawn joining any two points.
    3. A circle can be drawn with any centre and radius.
    4. Parallel lines never meet.

  12. According to Euclid, a line has

    1. Length but no breadth
    2. Breadth but no length
    3. Length and breadth
    4. Thickness only

  13. According to Euclid, a point has

    1. Length only
    2. Breadth only
    3. Position but no size
    4. Length and breadth

  14. The famous book written by Euclid is called

    1. Aryabhatiya
    2. Elements
    3. Principia
    4. Lilavati

  15. Euclid is known as the

    1. Father of Algebra
    2. Father of Geometry
    3. Father of Arithmetic
    4. Father of Trigonometry