Basic Geometrical Ideas Class 6 Worksheet pdf contains 31 MCQ questions. Answers to Basic Geometrical Ideas Class 6 Worksheet pdf are available after clicking on the answer. Maths Worksheets for Class 6Â help to check the concept you have learnt from detailed classroom sessions and application of your knowledge.
| Category | Maths Worksheets for Class 6 |
| Subject | Maths |
| Chapter | Basic Geometrical Ideas |
Q.1)Â _______ has no end point.
[A]Â Line segment
[B]Â Line
[C]Â Ray
Answer
Answer: B) Line has no end point.
Explanation:
Line has no end point.
Q.2) _______ has two end points.
[A]Â Line segment
[B]Â Line
[C]Â Ray
Answer
Answer: A) Line segment has two end points.
Explanation:
Line segment has two end points.
Q.3) _______ has only one end point.
[A]Â Line segment
[B]Â Line
[C]Â Ray
Answer
Answer: C) Ray has only one end point.
Explanation:
Ray has only one end point.
In the given diagram, A is the only end point. The Ray goes indefinitely in the other direction till infinity.
Q.4) Which of the following does have a definite length?
[A]Â Line segment
[B]Â Line
[C]Â Ray
Answer
Answer: A) Line segment has a definite length.
Explanation:
Line segment has a definite length.
In the given diagram, A and B are the two end points of Line segment AB.
In case of Line, there are no end points and therefore it has no definite length.
In the case of Ray, A is the only end point. The Ray goes indefinitely in the other direction till infinity, and therefore it has no definite length
Q.5) _____ lines can pass through a single point.
[A]Â Only one
[B]Â two
[C]Â Infinite
Answer
Answer: C) Infinite lines can pass through a single point.
Explanation:
Infinite lines can pass through a single point.
Q.6) _____ line can pass through two given points.
[A]Â Only one
[B] Infinite
Answer
Answer: A) Only one line can pass between these two Points.
Explanation:
Only one line can pass through two given points. If A and B are two points, only one line can pass between these two Points.
Q.7) A ray has _____ length.
[A]Â indefinite
[B]Â definite
Answer
Answer: A) A ray has indefinite length.
Explanation:
A ray is a part of a line starting from one point and it can be extended infinitely.
Hence, a ray has indefinite length.
Q.8) A line has _____ length.
[A]Â indefinite
[B]Â definite
Answer
Answer: A) AÂ line has indefinite length
Explanation:
A line can be extended from both the sides infinitely.
Hence, a line has indefinite length.
​
Q.9) A line segment has _____ length.
[A]Â indefinite
[B]Â definite
Answer
Answer: B) AÂ line segment has definite length.
Explanation:
Both the sides of line segment has end points, so it can’t be extended from any of its ends.
Hence, a line segment has definite length.
Basic Geometrical Ideas Class 6 Worksheet pdf
Q.10) ______ can be drawn on a paper.
[A]Â Line segment
[B]Â Ray
[C]Â Line
Answer
Answer: A) A Line segment can be drawn on a paper.
Explanation:
A Line segment can be drawn on a paper, since it has definite length.
However, a ray or line can’ t be draw on paper as they have indefinite length.
Q.11) An angle which has a measure of 50Ëš is ?
[A] an obtuse angle
[B] an acute angle
[C] a right angle
Answer
Answer: B) An acute angle
Explanation:Â Â Â Â
Acute angle – If the measure of an angle is more than 0Ëš but less than 90Ëš , it is called an acute angle.
Obtuse angle – If the measure of an angle is more than 90Ëš but less than 180Ëš , it is called an obtuse angle.
Right angle – If the measure of an angle is 90Ëš, then the angle is called a right angle.
In present case,
The given angle is 50Ëš
We know that
0Ëš < 50Ëš < 90Ëš
Hence, an angle which has a measure of 50Ëš is an acute angle.
Q.12) An angle which has a measure of 90Ëš is ?
[A] a straight angle
[B] a reflex angle
[C] a right angle
Answer
Answer: C) AÂ right angle
Explanation:
Straight angle – If the measure of an angle is 180Ëš, then the angle is called a straight angle.
Reflex angle – If the measure of the angle is more than 180Ëš but less than 360Ëš , then the angle is called a reflex angle.
Right angle – If the measure of an angle is 90Ëš, then the angle is called a right angle.
In present case,
Measure of the given Angle is = 90Ëš
Hence, an angle which has a measure of 90Ëš is a right angle.
Q.13) 4 right angles = ?
[A] 540Ëš
[B] 450Ëš
[C] 360Ëš
Answer
Answer: C) 360Ëš
Explanation:Â Â Â Â
We know that,
If the measure of an angle is 90Ëš, then the angle is called a right angle.
In other words,
1 right angle = 90Ëš
4 right angles = 4 x 90Ëš
4 right angles = 360Ëš
Q.14) 5/2 right angles = ?
[A] 225Ëš
[B] 335Ëš
[C] 360Ëš
Answer
Answer: A) 225Ëš
Explanation:Â Â Â Â
As we know that,
If the measure of an angle is 90Ëš, then the angle is called a right angle.
In other words,
1 right angle = 90Ëš
5/2 right angles = 5/2 x 90Ëš
5/2 right angles = 225Ëš
Q.15) Which of the following figure is a polygon?
[A]
[B]
[C]
Answer
Answer: B)
Explanation:Â Â Â Â
Polygon is : –
·  A simple closed figure
·  Having three or more than three sides
From the given figures, the Polygon is
Option 1 and 3 have more than 3 sides but they are not simple closed figures as they intersect themselves at some point.
Q.16) ______ is a simple closed figure formed by 3 or more than 3 sides.
[A]Â Polygon
[B]Â Circle
[C]Â Line segment
Answer
Answer: A) Polygon
Explanation:
Polygon is a simple closed figure formed by 3 or more than 3 sides.
Q.17) Triangle has ______ sides.
[A]Â 3
[B]Â 4
[C]Â 2
Answer
Answer: A) 3
Explanation:
Triangle has 3 sides.
In the given diagram, the 3 sides Triangle are AB, BC and AC.
Q.18) Pentagon has ______ vertices.
[A]Â 4
[B]Â 3
[C]Â 5
Answer
Answer: C) 5
Pentagon has 5 vertices.
In the given figure, the vertices of the Pentagon are marked as A, B, C, D and E.
Q.19) Quadrilateral has ______ sides.
[A]Â 3
[B]Â 4
[C]Â 5
Answer
Answer: B) 4
Explanation:
Quadrilateral has 4 sides.
In the given diagram, the 4 sides of Quadrilateral are AB, BC, CD and AD.
Q.20) Pentagon has ______ sides.
[A]Â 4
[B]Â 3
[C]Â 5
Answer
Answer: C) 5
Pentagon has 5 sides.
In the given diagram, the 5 sides of Pentagon are AB, BC, CD, DE and AE.
Basic Geometrical Ideas Class 6 Worksheet pdf
Q.21) Quadrilateral has ______ angles.
[A]Â 3
[B]Â 4
[C]Â 5
Answer
Answer: B) 4
Explanation:
Quadrilateral has 4Â angles.
In the given figure, the angles of the Quadrilateral are marked as ∠A, ∠B, ∠C, ∠D.
Q.22) A polygon having 3 sides is called a ______ .
[A]Â triangle
[B]Â hexagon
[C]Â quadrilateral
Answer
Answer: A) Triangle
Explanation:
A polygon having 3 sides is called a triangle.
In the given diagram, the 3 sides of the given figure are AB, BC and AC.
Q.23) Which of the following figure is a closed figure?
[A]
[B]
[C]
Answer
Answer: C)
Explanation:Â Â
If starting point and the end point of a figure are same, then the figure is a closed figure.
So, the closed figure amongst the given figures is
​
Q.24) Which of the following figure is an open figure?
[A]
[B]
[C]
Answer
Answer: B)
Explanation:Â Â
If starting point and the end point of a figure are not same, then the figure is an open figure.
So, the open figure amongst the given figures is
Q.25) State whether the given statement is true or false for the given figure:
AF is parallel to BC.
[A] True
[B] False
Answer
Answer: B) False
Explanation:
When two lines are equidistant from each other and can never meet at any point, they are called parallel lines.
In given figure, we observe that
Line AF and Line BC are not equidistant from each other
Hence, we can say that Line AF is not parallel to Line BC.
Q.26) A line segment which passes through the center of a circle , and whose end points lie on the circumference of the circle is called the  ______ of a circle.
[A]Â diameter
[B]Â secant
[C]Â arc
Answer
Answer: A) Diameter
Explanation:Â Â
A line segment which passes through the center of a circle , and whose end points lie on the circumference of the circle is called the Diameter of a circle.
In the above figure, AB, is a line segment which passes through the center O , and its end points (A and B) lie on the circumference of the circle.
Hence, AB is the diameter of the given Circle.
Q.27) Chord that divide the circle into two equal parts is called _______ of the circle.
[A] diameter
[B]Â sector
[C]Â secant
Answer
Answer: A) Diameter
Explanation:Â Â
Chord that divides the circle into two equal parts is called Diameter of the circle.
Here, AB is the chord , which is the diameter of a circle, as it divides the circle into two equal parts.
Q.28) If the radius of the circle is 7 cm, find its diameter?
[A] 14 cm
[B] 21 cm
[C] 28 cm
Answer
Answer: A) 14 cm
Explanation:
As we know that,
Diameter of a Circle = 2 x ( Radius of a Circle )
Given,
Radius = 7 cm
then,
Diameter of a Circle = 2 x 7 cm
Diameter of a Circle = 14 cm
Hence, the Diameter of a Circle is 14 cm
Q.29) If the diameter of the circle is 12 cm, find its radius?
[A] 24 cm
[B] 6 cm
[C] 18 cm
Answer
Answer: B) 6 cm
Explanation:
Given,
Diameter of a Circle = 12 cm
We know that,
Diameter of a Circle = 2 x ( Radius of a Circle )
or in other words
Radius of a Circle = Diameter of a Circle/2
Radius of a Circle = 12/2 cm
Radius of a Circle = 6 cm
Hence, the Radius of a Circle is 6 cm
Q.30) Is the given figure is symmetrical about the dotted line?
[A] Yes
[B] No
Answer
Answer: A)Yes
Explanation:
A figure is said to be symmetrical about the dotted line, if on folding, one part will fit exactly over the other part.
If we separate the given image on the dotted line, it would be like this
Since the image on the left side of the dotted line is same in shape from the image on the right side of the dotted line, although its different in appearance, on folding left side image would exactly fit over the right side image. Hence, we can say that the given figure is symmetrical about dotted line.
Q.31) Given below is a bar graph showing the number of students passed in different subjects.
In which subject Maximum number of students have passed ?
[A] Hindi
[B] Science
[C] S.S.T
Answer
Answer: A) S.S.T
Explanation:
We have to find the subject in which maximum number of students have passed. The bar graph which has the tallest length would represent the subject, in which maximum number of students have passed
Look at the bar graph which is the tallest one amongst the given graphs.
According to the bar graph S.S.T is the tallest bar. Therefore, the maximum number of students have passed in SST.
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