# Important Questions for Class 6 Chapter 4 - Basic Geometrical Ideas

It is very important to practice all the questions given in CBSE NCERT textbooks in subjects like math, science, English, etc. However, sometimes, you may get stuck with a few problems or a concept not knowing what to do next. To make it easier for you, we have come up with a set of solutions for all the questions chapter wise and subject wise by experienced subject experts.

**Important questions based on NCERT syllabus for Chapter 4 - Basic Geometrical Ideas : **

*Question 1*: How many lines can pass through-?

a. One given point.

b. Two given points

*Solution*:

a. Infinite number of lines can pass through one given point.

b. Only one line can pass through two given points.

*Question 2*: Sushma did not understand the difference between line and line segment? Explain both with examples.

Solution:

A line segment is a piece, or part, of a line in geometry.

A line segment is represented by end points on each end of the line segment.

A line in geometry is represented by a line with arrows at each end.

A line segment and a line are different because a line goes on forever while a line segment has a distinct beginning and end.

*Question 3*: How are two lines intersected? Explain.

Solution: If two lines pass through a point, then we say that the two lines intersect at that point.

Thus, if two lines have one point in common, then they are called intersecting lines.

Intersecting lines always intersect, cut or cross each other.

For example, If two lnes pass though a point P, then the two.

*Question 4*: In the given figure find out the opposite angles and adjacent angles.

Solution: In the given figure the opposite angles are ∠ABC is ∠A and ∠C, adjacent angles are ∠A and ∠B.

*Question 5*: Explain what are diameter, radius and chords in a circle?

Solution:

A *radius* is a line segment that connects the centre to a point on the circle.

The *Diameter* starts at one side of the circle, goes through the centre and ends on the other side.

A *chord* of a circle is a straight line segment whose endpoints both lie on the circle Among properties of chords of a circle are the following:

- Chords are equidistant from the center only if their lengths are equal.
- A chord that passes through the center of a circle is called a diameter, and is the longest chord.