Basic Geometrical Ideas Class 6 Worksheet Maths Chapter 4

Q1: What do the following things in our surroundings represent: (use the words given in the box).

Tip of pencil A point (example)
(a) Edge of a ruler __________
(b) Corner of a book __________
(c) Light coming out of torch __________
(d) Flat surface of a table __________
(e) Opposite edges of a ruler __________
(f) Adjacent edges of a ruler __________

Ans: Basic Geometrical Ideas
(a) Line segment
(b) Point
(c) Ray
(d) Plane
(e) Parallel lines
(f) Intersecting lines

Q2: In relation to the adjoining figures, write the names of: 

(a) 6 line segments
(b) 6 rays
(c) Two intersecting lines
(d) Two parallel lines
(e) How many points have been marked and named on the line 'n'?
(f) How many lines can pass through a single point?

Ans: (a) Line segments
(b) Rays

(c) Line 'n' and line 'l'

(d) line 'm' and line 'n'

(e) 4

(f) Infinitely many

Q3: What is the name of the angle shown in this figure? Name the points.
(a) In the interior of the angle
(b) On the angle
(c) In the exterior of the angle.

Ans:  ∠MON
(a) Points in the interior of the angle are: A, H, E
(b)  Points on the angle are: C, D
(c) Points in the exterior of the angle are: G, B, F

Q4: State whether the following statements are true or false:
(a) A line segment is a definite part of a line.
Ans: True

A line segment has two endpoints, which make it a specific, measurable part of a line.

(b) Through a given point, only one line can be drawn.
Ans: False

You can draw infinitely many lines through a point.

(c) A line is not a curve.
Ans: True

In geometry, a line is defined as a straight path that extends infinitely in both directions, unlike curves which deviate from this straightness.

(d) The interior of an angle is a restricted area.
Ans: False

The interior of an angle is not restricted; it simply refers to the space between the two arms of the angle.

(e) Line is a part of a ray.
Ans: False

A ray is a part of a line that starts from one point and goes on infinitely in one direction, but a line is infinite in both directions.

(f) Two lines in a plane can intersect each other at two points.
Ans: False

Two lines in a plane can intersect at only one point, not two.

Q5: Which of the following are polygons:-
(a)
(b)
(c)
(d)
(e)

Ans: (a), (e) are polygons.

Q6: Match the following:

Ans: 

(a) ↔ (ii),
(b) ↔ (iii),
(c) ↔ (iv),
(d) ↔ (i)

Q7: Name the rays in this figure. How many angles are being formed?

Ans: A ray begins at a point and extends infinitely in one direction. In the given figure: 

$\backslash overrightarrow\{OA\}$OA, OB, OC, and $\backslash overrightarrow\{OD\}$OD are the rays.