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Published on: 07/09/2019
Symmetry
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Questions + Answers key
Take MCQ Mathematics Test

1.
In the word 'FIGURE', mention the symmetrical letters.
2.
Find the number of lines of symmetry in the following shapes. How will you check your answers?

3.
Is the following figure symmetrical?

4.
Identify the shapes given below. Check whether, they are symmetric or not. Draw the line of symmetry as well.

5.
List any four symmetrical objects from your home or school.
6.
Inked-string Patterns: Fold a paper in half. On one half-portion, arrange short lengths of string dipped in a variety of coloured inks or paints. Now press the two halves. Study the figure you obtain. Is it symmetric? In how many ways can it be folded to produce two identical halves?
7.
Take a piece of paper. Fold it in half. Spill a few drops of ink on one half side. Now press the halves together. What do you see? Is the resulting figure symmetric? If yes, where is the line of symmetry? Is there any other line along which it can be folded to produce two identical parts? Try more such patterns.
8.
How many lines of symmetry are there in the given figure?

9.
Write the letters of the word ALGEBRA which have no line of symmetry.
10.
In the figure given alongside, l is the line of symmetry. Draw the image of the triangle and complete the diagram, so that it becomes symmetric.

11.
A paper-delivery boy wants to park his cycle at some point P and deliver the newspapers to houses A and B. Where should he park the cycle so that his walking distance AP + BP will be least?

12.
In the word 'IMAGE', which letter has identical mirror image?
13.
Write the number of lines of symmetry in each letter of the word 'SYMMETRY' and draw the line of symmetry.
14.
Line of symmetry of given figure is

horizontal
vertical
Both (a) and (b)
None of these
15.
Which of the following letters does not have the vertical line ot symmetry?
M
H
E
V
16.
In the following figures, the figure that is not symmetric with respect to any line is




17.
If a line segment of length 5 cm is reflected in a line of symmetry (mirror), then its reflection (image) is a line of length _______
18.
The number of lines of symmetry in a rectangle and a square are ______. (equal / unequal).
19.
The number of lines of symmetry in a rectangle and a rhombus are ______ (equal/unequal).
20.
A square and a rectangle have the same number of lines of symmetry.
21.
An equilateral triangle has more than one line of symmetry.
22.
A parallelogram has no line of symmetry.
23.
A kite has two lines of symmetry.
1.
I, U and E
2.
The number of lines of symmetry for this figure is 2, which are shown below:

3.
No
4.
The given figure is symmetric and its line of symmetry is shown below :

5.
There are many symmetrical objects, which found in our school or home. Some of these are blackboard, table top, wall clock, bucket, photoframe, etc.
6.

The figure obtained is symmetric. It can be folded only in one way to produce two identical halves.
7.
We see that the resulting figure is symmetric about the line of fold which is the line of symmetry. There is no other line along which it can be folded to produce two identical parts.

8.
Two
9.
The letters L, G and R have no line of symmetry.
10.
On drawing the image of the triangle and completing the diagram, we get the adjoining figure which is symmetrical about the line of symmetry l.

11.
We can use reflectional symmetry here. Let A' be the image of A in the mirror line which is the street here. Then the point P is the ideal place to park the cycle (where the mirror line and A'B meet?
Using reflectional symmetry,
AP = A'P
AP' = A'P
\(\therefore\) AP' + BP' = A'P' + BP' > A'B
\(\Rightarrow\) AP' + BP' > A'P + PB
\(\Rightarrow\) AP' + BP' > AP + PB

12.
I, M, A
13.
The given word is 'SYMMETRY' The letter S has no line of symmetry. Letter Y has one line of symmetry.

The letter M has one line of symmetry

The letter E has one line of symmetry

The letter T has one line of symmetry

The letter R has no line of symmetry.
14.
(c)
Both (a) and (b)
15.
(c)
E
16.
(b)

17.
( )
5 cm
18.
( )
unequal.
19.
( )
equal
20.
(b)
21.
(a)
22.
(a)
23.
(b)
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