Class 6 Maths Chapter -4 Basic Geometrical Ideas
Exercise 4.1
Question 1: Answer according to the figure given below
(a) Five points
(b) A line
(c) Four rays
(d) Five line segments
Answer:
Question 2:Name all the possible (twelve) lines choosing only two letters at a time from the figure given below.
Answer
Question 3:
Answer according to the figure
(a) Line containing point E.
(b) Line passing through A.
(c) Line on which 0 lies.
(d) Two pairs of intersecting lines.
Answer
Question 4: How many lines can pass through (i) one point (ii) two points?
Answer
(i) There are infinite lines which can pass through one point.
(ii) There is only one line which can pass through two given points.
Question 5: Draw figures with label according to the information given below
Answer
(a)
(b)
(c)
(d)
Question 6: Consider the figure given below and answer whether the following statements are true or false.
Answer
(a) True
(b) True
(c) True
(d) False
(e) False
(f) False
(g) True
(h) False
(i) False
(j) False
(k) True
Exercise 4.2
Question 1 Answer whether the following figures are closed or open.
Answer
(a) Open
(b)Closed
(c)Open
(d)Closed
(e)Closed
Question 2 Draw diagrams according to the given instructions
(a) Closed
(b)Open
Answer
(a)
(b)
Question 3 Draw a polygon and color its interior part.
Answer
Question 4: Is the given figure curve and closed?
Answer:
Exercise 4.3
Question 1: Give the name of the angles in the given figure
Answer:
∠CDA, ∠DAB, ∠ABC, ∠BCD
Question 2: Name the point(s) in the figure given below
(a) Interior angle of∠POS
(b)Exterior angle of ∠ROT
(c)On ∠ROT
Answer
(a)Q
(b)U, Q, P
(c)R, S, T, O
Question 3 : Draw diagrams having two angles such that they have
(a)One point common
(b)Two points common
(c)Three points common
(d)Four points common
(e)One ray common
Answer
(a)
∠QOS and ∠POR have O common point.
(b)
∠ZOY and ∠YOX have O and Y common points.
(c)
∠YOX and ∠YOZ have Y, W and O common points.
(d)
∠COP and ∠COQ have C, B, A and O common points.
(e)
Exercise 4.4
Question 1: Draw a sketch of triangle PQR. Mark a point A interior and a point B in its exterior. Is the point Q is in its interior or in its exterior?
Answer:
Point Q lies on the ΔPQR .
Question 2: Draw a sketch of triangle XYZ. Mark a point L interior and a point M in its exterior. Is the point L is in its interior or in its exterior?
Answer:
Point L lies on the interior of the triangle.