Symmetry Test

Result

Symmetry Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following squares must be shaded to make this figure symmetric about XY?

A
C and E

B
C and D

C
D and E

D
C and B

Solution

As seen from the above figure, it can be concluded that after shading D and C, the figure becomes symmetric about XY.
Option (2) is correct.
Question 2
1 / -0

XYZ is an isosceles triangle and side XY is equal to side XZ. How many lines of symmetry does the triangle XYZ have?

A
1

B
2

C
3

D
None

Solution

If you can reflect or flip a figure over a line and the figure appears unchanged, then the figure has reflection symmetry or line symmetry. The line that you reflect over is called the line of symmetry.

In the above figure, the triangle XYZ is drawn and a point S is mentioned at line YZ which is extended to point X.
So, in the given figure, line XS will act as the line of symmetry. Therefore, it has one line of symmetry.
Option (1) is correct.
Question 3
1 / -0

Which of the following is not symmetrical about its diagonal?

A
Square

B
Rhombus

C
Rectangle

D
None of these

Solution

A rectangle cannot have a diagonal line of symmetry like a square because the sides are not of same length.
So, rectangle is not symmetrical about its diagonal.
Option (3) is correct.
Question 4
1 / -0

Directions: Select the incorrect match.

A
A

B
B

C
C

D
D

Solution

Since figure A has 4 lines of symmetry, it is the incorrect match.
Question 5
1 / -0

Which of the following statements is/are true?

(i) Letters A and Z have no lines of symmetry.
(ii) Letters M and B have exactly one line of symmetry.

A
Both (i) and (ii) are true.

B
Both (i) and (ii) are false.

C
Only (i) is true.

D
Only (ii) is true.

Solution

(i)

Since A has one line of symmetry, (i) is false.

(ii)

Since the letters M and B have exactly one line of symmetry, (ii) is true.
Hence, option (4) is correct.
Question 6
1 / -0

Which of the following options shows a symmetric figure?

A

B

C

D

Solution

In the above figure, a line of symmetry is shown about one of its diagonals. Therefore, it is a symmetric figure. Hence, option 1 is correct.
Question 7
1 / -0

How many of the following letters have only two lines of symmetry?

A
1

B
3

C
5

D
7

Solution

So, only 'I' has two lines of symmetry.
Option (1) is correct.
Question 8
1 / -0

Which of the following figures have at least three lines of symmetry?

A
C and B

B
D and A

C
A and B

D
C and D

Solution

So, figures A and B have at least three lines of symmetry.
Option (3) is correct.
Question 9
1 / -0

A trapezoid has

A
a line of symmetry along its diagonals

B
a line of symmetry along its sides

C
a line of symmetry along a perpendicular bisector

D
no line of symmetry

Solution

A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel. It has no line of symmetry.
Option (4) is correct.
Question 10
1 / -0

Which of the following shows a symmetric figure?

A

B

C

D

Solution

If a figure can be folded or divided into half, so that the two halves match exactly, then such a figure is called a symmetric figure.
The above figure is a symmetric figure.
Option (3) is correct.
Question 11
1 / -0

Which of the squares should be shaded, so that the figure is symmetrical along both AB and CD?

A
1 and 6

B
2 and 5

C
3 and 4

D
5 and 1

Solution

From the above figure, it can be seen that after shading box 2 and 5, the figure becomes symmetric about lines AB and CD.
Option (2) is correct.
Question 12
1 / -0

Which of the following figures has only one line of symmetry?

A

B

C

D

Solution

The line that divides the figure into two equal halves is called the line of symmetry. So, the above figure has only one line of symmetry which is represented by dotted line.
Option (3) is correct.
Question 13
1 / -0

What is the smallest number of squares that must be added, so that line XY becomes the line of symmetry?

A
1

B
2

C
3

D
4

Solution

The line that divides the figure into two equal halves is called the line of symmetry.
For XY to be a line of symmetry, we need 2 more squares as shown in the figure above.
Option (2) is correct.
Question 14
1 / -0

How many lines of symmetry are there in a pentagon which has all angles equal?

A
3

B
4

C
5

D
6

Solution

The above figure represents a regular pentagon having 5 lines of symmetry.
Option (3) is correct.
Question 15
1 / -0

Which of the following squares should be shaded, so that the figure has a line of symmetry?

A
A and B

B
B and D

C
D and C

D
C and A

Solution

To get one line of symmetry, we need to shade squares A and B.
Option (1) is correct.