Symmetry(6th Grade > Mathematics ) Questions and answers for exam Preparation

6th Grade > Mathematics

SYMMETRY MCQs

Total Questions : 88 | Page 9 of 9 pages

We often see these types of signals on traffic sign boards. State whether they are mirror images of each other or not. [2 MARKS]

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Answer: Option A. ->
:

Yes/No: 1 Mark
Reason: 1 Mark
Yes, they are mirror images of each other. The mirror image is the image formed by reflection of an object on the mirror. If we try to overlap one arrow over the another then they will completely fit on one another.

Question 82.

A rectangular cricket field is to be divided into two parts. How can it be divided in order to get two more symmetrical rectangular fields? Show it with a diagram. [3 MARKS]

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How: 2 Marks
Diagram: 1 Mark
There are two ways in which we can divide a rectangular field into two similar fields. The lines should pass through the midpoint of the two sides which are opposite to each other. For rectangles, we have 2 lines of symmetry.

Question 83.

(a) What is required for a kaleidoscope to produce images?
(b) Do the images so produced have any line of symmetry? If yes, what determines the number of lines of symmetry? [3 MARKS]

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Answer: Option A. ->
:
(a) 1 Mark
(b) 2 Marks
(a) A kaleidoscope uses mirrors to produce images.

(a) What Is Required For A Kaleidoscope To Produce Images?(...

(b) Yes, the images formed can have several lines of symmetry. The number of lines of symmetry is determined by the angle between the mirrors.

Question 84.

What is the name of the given triangle? How many line(s) of symmetry is/are possible for the given figure? [2 MARKS]

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Name: 1 Mark
Correct answer with diagram: 1 Mark
The given figure is an isosceles triangle where two sides are equal. We can have one line of symmetry for this triangle. It is shown below.

Question 85.

How many lines of symmetry are possible for an octagon? Show it with a diagram. [3 MARKS]

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:

Answer with Concept: 2 Marks
Diagram: 1 Mark
Any regular octagon has 8 lines of symmetry: 4 through opposite vertices and 4 through midpoints of parallel sides. The dotted lines show that the half figure is a mirror image of the other half.

Question 86.

(a) In the figure below, can u determine if the pattern is symmetrical and if symmetrical how many lines of symmetry are possible for the following figure?

(b) Name a geometrical figure that has seven lines of symmetry. Draw a diagram showing the lines of symmetry.

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Answer: Option A. ->
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(a) 2 Marks
(b) 2 Marks
(a) In the given figure, one line of symmetry is possible as depicted in the image below. By folding the figure about this line it will overlap completely.

(b) Any line which divides a diagram into two equal halves is called a line of symmetry. This line of symmetry divides the figure into two identical halves. If a random diagram has 7 such lines, it will have 7 lines of symmetry.
The most basic figure that would have 7 lines of symmetry can be a regular heptagon with all 7 sides equal.

Question 87.

(a) Identify multiple lines of symmetry, if any, in the following figure: [4 MARKS]

(b) Copy the diagram and make a symmetric shape about the mirror line.

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Answer: Option A. ->
:
Visualisation: 1 Mark each
Diagram: 1 Mark each
(a) The following figure will have 6 distinct lines which will cut the figure into identical halves. Hence, lines of symmetry are 6.
Lines of symmetry

(a) Identify Multiple Lines Of Symmetry, If Any, In The Foll...

(b) The completed shape symmetric about the mirror line is shown below:

Question 88.

(a) A diagram has 5 lines of symmetry. Draw all the lines of symmetry and then divide the figure into 10 parts. Given here is a part of the diagram. Complete the diagram. [4 MARKS]

(b) How many lines of symmetry does a polygon with its adjacent sides equal and perpendicular have?

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Answer: Option A. ->
:

Each option: 2 Marks
(a) The asked diagram is a pentagon.

(b) A polygon with adjacent sides equal and perpendicular is a square. A square has 4 lines of symmetry.