Students can practice TS 6th Class Maths Solutions Chapter 4 Basic Geometrical Ideas Ex 4.1 to get the best methods of solving problems.
TS 6th Class Maths Solutions Chapter 4 Basic Geometrical Ideas Exercise 4.1
Question 1.
Join the points given below. Name the line segments so formed in the figure.
Answer:
The line segments so formed in the figure are \(\overline{\mathrm{AB}}, \overline{\mathrm{BC}}\) and \(\overline{\mathrm{CA}}\).
Answer:
The line segments so formed in the figure are \(\overline{\mathrm{PQ}}, \overline{\mathrm{QR}}, \overline{\mathrm{RS}}, \overline{\mathrm{ST}}\) and \(\overline{\mathrm{TP}}\).
Question 2.
Name the following from the figure.
(i) Any five points.
(ii) Any five line segments.
(iii) Any three rays.
(iv) Any two lines.
Answer:
(i) A, B, C, D, 0 are the points.
(ii) \(\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{CD}}, \overline{\mathrm{DA}}, \overline{\mathrm{AC}}, \overline{\mathrm{BD}}\) are the line segments.
(iii) \(\overrightarrow{\mathrm{OB}}, \overrightarrow{\mathrm{OD}}, \overrightarrow{\mathrm{OC}}, \overrightarrow{\mathrm{OA}}\) are the rays.
(iv) \(\overrightarrow{\mathrm{AC}}\) and \(\overrightarrow{\mathrm{BD}}\) are the lines.
Question 3.
How many lines can be drawn through the points given below and make a rough figure for your answer.
(i) One point
(ii) Two distinct points
Answer:
(i) Many lines (infinite) can be drawn through one point.
(ii) Only one line can be drawn through two distinct points.
Question 4.
Which of the following has a definite length ?
i) Line
Answer:
A line has no definite length because it has no end points.
ii) Point
Answer:
A point has no definite length because it determines a location.
iii) Line segment
Answer:
A line segment has fixed length because it has two end points.
iv) Ray
Answer:
A ray is a portion of a line starting at a point and goes in one direction endlessly. So it has no definite length.
Question 5.
How many end points do the following have ?
(i) Line segment
Answer:
A line segment has two end points.
(ii) Ray
Answer:
A ray has only one end point.
(iii) Line
Answer:
A line has no end points.
Question 6.
Write ’True’ or ’False’.
(i) A line has no end points. ( )
Answer:
True
(ii) Ray is a part of a line. ( )
Answer:
True
(iii) A line segment has no definite length. ( )
Answer:
False
(iv) A line segment has only one end point. ( )
Answer:
False
(v) We can draw many lines through a point. ( )
Answer:
True
Question 7.
Draw and name :
(i) Line containing point P.
Answer:
(ii) Line passing through R.
Answer:
\(\overleftrightarrow{\mathrm{AB}}\) is a line passing through R.