Class 6 Maths – Chapter 2: Lines and Angles - Case-Based Study Questions

 

Class 6 Maths – Chapter 2: Lines and Angles

🎓 Case-Based Study Questions

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🧾 Case Study 1: The Clock Shop

Case:
Riya visits a clock shop and observes different wall clocks showing various times. She notices the angles formed between the hour and minute hands.

Clock	Time Displayed	Observation
A	3:00	Hands form a 90° angle
B	6:00	Hands form a straight line
C	2:00	Hands form an acute angle

Questions:

1. What type of angle is formed in Clock A?
   a) Acute
   b) Obtuse
   c) Right
   d) Straight
   ✅ Answer: c) Right

2. What is the measure of the angle in Clock B?
   a) 90°
   b) 180°
   c) 120°
   d) 45°
   ✅ Answer: b) 180°

3. In Clock C, the angle formed is less than 90°. What type of angle is this?
   ✅ Answer: Acute angle

4. Write the name of two objects in your house that show right angles like Clock A.
   ✅ Answer: Examples may include corners of books, TV screens, tiles, etc.

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📏 Case Study 2: The Road Intersection

Case:
Two roads cross each other near Aryan’s school. The municipal engineer says they intersect perpendicularly. Aryan sees four equal angles formed at the intersection.

Questions:

1. What is the measure of each angle formed?
   ✅ Answer: 90°

2. What are such angles called?
   ✅ Answer: Right angles

3. What is the relationship between the two roads?
   a) Parallel
   b) Intersecting
   c) Perpendicular
   d) Skew
   ✅ Answer: c) Perpendicular

4. How many right angles are formed when two perpendicular lines cross?
   ✅ Answer: 4

5. Draw and label two perpendicular lines using a ruler and a set square.
   ✅ (Student drawing question)

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📐 Case Study 3: Art Class Geometry

Case:
During an art activity, Meera draws two lines that never meet, even if extended. She decorates the space between them and labels the lines as AB and CD.

Questions:

1. What is the relationship between line AB and line CD?
   ✅ Answer: Parallel lines

2. Can parallel lines ever intersect?
   ✅ Answer: No

3. Meera now draws a third line EF that cuts both AB and CD. What is EF called?
   ✅ Answer: Transversal

4. When a transversal cuts two parallel lines, what types of angles are formed?
   ✅ Answer: Corresponding, alternate interior, alternate exterior angles

5. Identify one real-life example of parallel lines from your surroundings.
   ✅ Answer: Railway tracks, lines on a ruled notebook, edge of a table

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🎯 Case Study 4: Building the School Fence

Case:
While helping to install the school fence, students used measuring tapes and set squares to form corners. They ensured every corner was at a right angle.

Questions:

1. Why did they use a set square for the corners?
   ✅ Answer: To form right angles accurately

2. How many degrees is a right angle?
   ✅ Answer: 90°

3. If four corners of the school fence are each right angles, what shape is formed?
   ✅ Answer: Rectangle or square

4. If one corner was more than 90°, what type of angle would it be?
   ✅ Answer: Obtuse angle

5. Which tool can you use to measure any angle?
   ✅ Answer: Protractor