GSEB Class 6 Maths Solutions Chapter 4 Basic Geometrical Ideas InText Questions

Try These (Page 70)

Question 1. With a sharp tip of the pencil, mark four points on a paper and name them by the letters A, C, F, H. Try to name these points in different ways. One such way could be this.
Answer: We can name these points in various ways, for example:
P, R, L, K, D, G, Q, S, M, O, E, F.
In simple words: Using a sharp pencil, you can put four dots on paper and call them A, C, F, and H. You can also give these dots other names like P, R, L, K, and so on.

Exam Tip: Remember that points are usually represented by capital letters, and their names can be chosen arbitrarily as long as they are distinct.

Question 2. A star in the sky also gives us an idea of a point. Identify at least five such situations in your daily life.
Answer: Many situations in daily life show us what a point is. These include:
1. The sharp tip of a pencil.
2. The sharp tip of a needle.
3. A corner of a desk.
4. A corner of a paper.
5. The sharp tip of a pen.
In simple words: Think of small, exact locations. Things like the end of a needle or the corner of a table are good examples of points.

Exam Tip: When identifying points in real life, look for very small or precise locations that have no actual size, like a specific spot.

Try These (Page 71)

Question 3. Name the line segments in the figure. Is A, the end point of each line segment?
Answer: The line segments in this figure are:
(i) \( \overline{\mathrm{AB}} \) (or \( \overline{\mathrm{BA}} \))
(ii) \( \overline{\mathrm{AC}} \) (or \( \overline{\mathrm{CA}} \))
Yes, 'A' is an end point of each line segment in this drawing.
In simple words: The straight lines with clear start and end points are AB and AC. Point A is indeed an endpoint for both of these lines.

Exam Tip: A line segment is defined by two endpoints. The order of the letters used to name it does not change the segment (e.g., AB is the same as BA).

Try These (Page 74)

Question 1.
1. Name the rays given in this picture.
2. Is T a starting point of each of these rays?
Answer:
1. The rays shown in the figure are: \( \overline{\mathrm{TA}} \), \( \overline{\mathrm{TN}} \), \( \overline{\mathrm{TB}} \) and \( \overline{\mathrm{NB}} \).
2. No, T is not the starting point of \( \overline{\mathrm{NB}} \). The ray \( \overline{\mathrm{NB}} \) begins at N and extends indefinitely through B.
In simple words: Rays shown are TA, TN, TB, and NB. T is the start for TA, TN, and TB, but not for NB.

Exam Tip: Remember that a ray has one starting point and extends infinitely in one direction. The first letter in its name is always the starting point.