CBSE Class 6 Mathematics Basic Geometrical Concepts Worksheet Set 01

Question 1. Fill in the blank
i) A triangle is a sided polygon.
Answer: 3
In simple words: A triangle is a polygon with three sides.
Exam Tip: Remember that the prefix 'tri-' means three.

Question 1(ii). Fill in the blank
ii) a quadrilateral is a ___________ sided polygon.
Answer: 4
In simple words: A quadrilateral is a polygon with four sides.

Exam Tip: The prefix 'quad-' stands for four.

Question 1(iii). Fill in the blank
iii) from two points, a ________ can be drawn.
Answer: line (or unique line)
In simple words: Exactly one straight line can pass through any two distinct points.

Exam Tip: This is a fundamental axiom of geometry.

Question 2(i). MCQ
Identify the open curve from the following :-
(a) [Triangle/Closed Shape]
(b) [Circle/Closed Shape]
(c) [Trapezium/Closed Shape]
(d) [Open curved line ending without closing]
Answer: (d) [Open curve]
An open curve does not enclose an area and its endpoints do not meet.
In simple words: Option (d) is an open curve because its ends do not join together.

Exam Tip: Closed curves start and end at the same point, whereas open curves do not.

Question 2(ii). MCQ
Identify the polygon from the figure :-
(Options in diagram: (a) Triangle, (b) Rectangle, (c) Circle, (d) Open curve)
Answer: (a) or (b) [Polygon figures such as triangle or rectangle]
A polygon is a closed figure made up of line segments.
In simple words: Polygons are closed shapes made entirely of straight line segments.

Exam Tip: Curves with rounded parts like circles are not polygons.

Question 2(iii). MCQ
A pair of lines which don't intersect at any point :-
(a) Perpendicular lines
(b) parallel lines
(c) concurrent lines
(d) none
Answer: (b) parallel lines
Parallel lines are lines in a plane that do not meet; they remain at a constant distance apart.
In simple words: Parallel lines never cross each other, no matter how far they are extended.

Exam Test Tip: Perpendicular lines intersect at a right angle (\(90^\circ\)), and concurrent lines intersect at a common point.

Question 2(iv). MCQ
A ___________ is a mark of position.
Answer: Point
In simple words: A point determines a precise location in space and has no length, width, or thickness.

Exam Tip: A point is represented by a fine dot made by a sharp pencil.

Question 3. Here is a rough sketch of a quadrilateral ABCD.
State
i) Two pairs of opposite sides ___________.
Answer: AB and DC, AD and BC
In simple words: Opposite sides face each other without sharing a common vertex.

Exam Tip: In quadrilateral ABCD, side AB is opposite to side DC, and side AD is opposite to side BC.

Question 3(ii). State
ii) Two pairs of adjacent angles ___________ .
Answer: Angle A and Angle B (or Angle A and Angle D, Angle B and Angle C, Angle C and Angle D)
In simple words: Adjacent angles are angles that share a common side.

Exam Tip: Consecutive corners in a quadrilateral form adjacent angles sharing an arm.

Question 3(iii). State
iii) Two diagonals _______________.
Answer: AC and BD
In simple words: Diagonals are line segments joining opposite non-adjacent vertices of a polygon.

Exam Tip: A quadrilateral always has exactly two diagonals connecting opposite corners.

Question 2. Name the angles in the triangle
a) Angle ABC
b) ___________,
c) __________________.
Answer: b) Angle BCA, c) Angle CAB (or Angle BAC)
In simple words: The three interior angles of triangle ABC are named by placing the vertex letter in the middle.

Exam Tip: When naming an angle, always ensure the middle letter represents the vertex where the angle is formed.

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