Loading...

About Basic Geometry (Points, Lines & Angles) — Class 6 ICSE

Learn about points, lines, rays, segments, and types of angles with geometric constructions. This topic is part of the ICSE Class 6 mathematics syllabus (chapter: Chapter 8). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Basic Geometry (Points, Lines & Angles)

  • Introduction to Basic Geometric Figures: Points, Lines, Rays, and Line Segments
  • Understanding Types of Lines: Intersecting, Parallel, and Perpendicular
  • Introducing Angles: Formation, Vertex, and Arms
  • Exploring Types of Angles: Acute, Right, Obtuse, Straight, Reflex, and Complete
  • Measuring and Drawing Angles Using a Protractor

Interactive lesson · about 15 minutes · checkpoint question after every unit

Basic Geometry (Points, Lines & Angles) — solved examples for Class 6 ICSE

Example 1easy

How many endpoints does a line segment have?
  1. A)0
  2. B)1
  3. C)2
  4. D)3

Step-by-step solution

  1. A line segment is a part of a line bounded by two distinct points called endpoints.
  2. Therefore, a line segment has exactly 2 endpoints.

Answer: 2

Example 2medium

If two angles are complementary and one angle is 37 degrees, what is the other angle?
  1. A)43 degrees
  2. B)53 degrees
  3. C)63 degrees
  4. D)143 degrees

Step-by-step solution

  1. Two angles are complementary when their sum is 90 degrees.
  2. Other angle = 90 - 37 = 53 degrees.
    90−37=53degrees90 - 37 = 53 degrees

Answer: 53 degrees

Example 3hard

Two supplementary angles are in the ratio 2:3. Find the larger angle.
  1. A)72 degrees
  2. B)90 degrees
  3. C)108 degrees
  4. D)120 degrees

Step-by-step solution

  1. Let the angles be 2x and 3x.
  2. 2x + 3x = 180
    5x=1805x = 180
  3. x = 36. Larger angle = 3 x 36 = 108 degrees.

Answer: 108 degrees

Practice questions on Basic Geometry (Points, Lines & Angles)

  1. Q1.easy

    How many endpoints does a ray have?
    1. A)0
    2. B)1
    3. C)2
    4. D)3
    Show answer

    Answer: 1

    Hint: A ray starts at a fixed point and extends infinitely in one direction.

  2. Q2.easy

    An angle that measures exactly 90 degrees is called a:
    1. A)Acute angle
    2. B)Right angle
    3. C)Obtuse angle
    4. D)Straight angle
    Show answer

    Answer: Right angle

    Hint: This angle looks like the corner of a book or a door frame.

  3. Q3.easy

    An angle measuring 45 degrees is classified as:
    1. A)Acute angle
    2. B)Right angle
    3. C)Obtuse angle
    4. D)Reflex angle
    Show answer

    Answer: Acute angle

    Hint: Any angle less than 90 degrees falls into this category.

  4. Q4.medium

    If two angles are supplementary and one angle is 115 degrees, what is the other angle?
    1. A)45 degrees
    2. B)55 degrees
    3. C)65 degrees
    4. D)75 degrees
    Show answer

    Answer: 65 degrees

    Hint: Supplementary angles add up to 180 degrees.

  5. Q5.medium

    In a triangle, two angles are 50 degrees and 60 degrees. What is the third angle?
    1. A)60 degrees
    2. B)70 degrees
    3. C)80 degrees
    4. D)90 degrees
    Show answer

    Answer: 70 degrees

    Hint: The sum of all angles in a triangle is 180 degrees.

  6. Q6.medium

    An angle measures 250 degrees. What type of angle is it?
    1. A)Obtuse angle
    2. B)Straight angle
    3. C)Reflex angle
    4. D)Complete angle
    Show answer

    Answer: Reflex angle

    Hint: Any angle between 180 and 360 degrees belongs to a special category.

  7. Q7.hard

    Two complementary angles are in the ratio 4:5. Find the smaller angle.
    1. A)36 degrees
    2. B)40 degrees
    3. C)45 degrees
    4. D)50 degrees
    Show answer

    Answer: 40 degrees

    Hint: Let the angles be 4x and 5x. Their sum is 90.

  8. Q8.hard

    The angles of a triangle are in the ratio 2:3:4. Find the largest angle.
    1. A)60 degrees
    2. B)70 degrees
    3. C)80 degrees
    4. D)90 degrees
    Show answer

    Answer: 80 degrees

    Hint: Let the angles be 2x, 3x, and 4x. Their sum is 180.

  9. Q9.hard

    The complement of the supplement of 120 degrees is:
    1. A)30 degrees
    2. B)60 degrees
    3. C)90 degrees
    4. D)150 degrees
    Show answer

    Answer: 30 degrees

    Hint: First find the supplement of 120, then find the complement of that result.

These are 9 of the 60 questions available for Basic Geometry (Points, Lines & Angles). Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.