1 Marks Question

Question 511 Mark

State whether the following statement is true or false:
A pentagon with one line of symmetry can be drawn.

Answer

True.

Solution:

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Question 521 Mark

Which of the following statementare true and which are false?
A square has four lines of symmetry.

Answer

A square is symmetrical about each one of its diagonal and the lines joining the midpoints of the opposite sides.

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Question 531 Mark

Using only the two set-squares of the geometry box, an angle of $15^\circ$ can be drawn.

Answer

An angle of $15^\circ $ can be drawn using only the two set squares.

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Question 541 Mark

For the given figure, which one is the mirror line, $l_1$ or $l_2$?

Answer

The line $l_1$ is the mirror line of this figure as when the given figure is golded about the line $l_2$ the left part can exactly cover right part and vice versa.

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Question 551 Mark

The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry is ________.

Answer

The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry is $4.$
Solution:
Since, alphabets $H, I O$ and $X$ have both horizontal and vertical lines of symmetry.

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Question 561 Mark

With a given centre and a given radius, only one circle can be drawn.

Answer

With a given radius and a centre, only one circle can be drawn.

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Question 571 Mark

The number of lines of symmetry in a regular hexagon is __________.

Answer

The number of lines of symmetry in a regular hexagon is $6.$
Solution:
Since, all sides of regular hexagon are equal and each of its angles measures $120^\circ .$ Therefore, it has six lines of symmetry, three along the lines joining the mid-points of opposite sides and three along the diagonals.

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Question 581 Mark

Which of the following statementare true and which are false? A rectangle has two lines of symmetry.

Answer

A rectangle is symmetrical about the lines joining the midpoints of the opposite sides.

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Question 591 Mark

Which of the following statementare true and which are false?
Each one of the letters $H, I, O, X$ of the English alphabet has two lines of symmetry.

Answer

True.

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Question 601 Mark

Which of the following statementare true and which are false? A rhombus has four lines of symmetry.

Answer

A rhombus has two lines of symmetry. It is symmetrical about each one of its diagonals.

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Question 611 Mark

Given here are figures of a few folded sheets and designs drawn about the fold. In each case, draw a rough diagram of the complete figure that would be seen when the design is cut off.

Answer

The complete figures will be as following.

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Question 621 Mark

Can you draw a triangle which has. No lines of symmetry? Sketch a rough figure in case.

Answer

Yes, we may make a scalene triangle which has no line of symmetry.

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Question 631 Mark

If an isosceles triangle has more than one line of symmetry, then it need not be an equilateral triangle.

Answer

Since, if an isosceles triangle has more than one line of symmetry, then it must be an equilateral triangle.

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Question 641 Mark

Infinitely many perpendiculars can be drawn to a given ray.

Answer

Since, a ray has infinite length, therefore infinitely many perpendiculars can be drawn to it.

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Question 651 Mark

State whether the following statement is true or false:
An isosceles triangle with more than one line of symmetry must be an equilateral triangle.

Answer

If an isosceles triangle has no more than one line of symmetry, then it must be an equilateral triangle. This is because an equilateral triangle has three lines of symmetry, and a triangle other than that cannot have two lines of symmetry.

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Question 661 Mark

The number of capital letters of the English alphabets having no line of symmetry is __________.

Answer

The number of capital letters of the English alphabets having no line of symmetry is $10.$
Solution:
Alphabets $F, G, J, L, N, R, Q, R, S$ and $Z$ have no line of symmetry.

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Question 671 Mark

If an isosceles triangle has more than one line of symmetry, then it must be an equilateral triangle.

Answer

Because an equilateral triangle has three lines of symmetry.

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Question 681 Mark

The image of a point lying on a line l with respect to the line of symmetry $l$ lies on _______.

Answer

The image of a point lying on line $L$ with respect to the line of symmetry $L$ lies on line $L.$

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Question 691 Mark

Find the number of lines of symmety for the shapes.

Answer

There are 6 lines of symmetry for the given figure. Now we may observe the lines of symmetry in the above figures as.

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Question 701 Mark

Find the number of line of symmetry in the following shape:

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Question 711 Mark

If a line segment of length 5cm is reflected in a line of symmetry (mirror), then its reflection (image) is a ______ of length _______.

Answer

If a line segment of length $5\ cm$ is reflected in a line of symmetry (mirror), then its reflection (image) is a Line segment of length $5\ cm.$
Solution:
Because its reflection is a line segment of length $5\ cm.$

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Question 721 Mark

Find the number of lines of symmetry in the following shape. How will you check your answer?

Answer

We may observe that there is only $1$ line of symmetry.

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Question 731 Mark

The number of lines of symmetry in Figure is __________.

Answer

In the given figure of circle, we can draw $5$ lines of symmetry to bisect the figure in equal parts. Hence, the lines of symmetry of given circle is $5.$

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Question 741 Mark

Copy the triangle in of the following figures on squared paper. In case, draw the line (s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figures and try paper-folding first!)

Answer

It is a right angled triangle. Here it will be only 1 line of symmetry.

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Question 751 Mark

Copy the following on a squared paper and compute then in such a way that the dotted line is the line of symmetry.

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Question 761 Mark

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

Answer

Yes.

Line of aymmetry are shown in the following figures.

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Question 771 Mark

Can you draw a triangle which has. Exactly three lines of symmetry?

Answer

Yes, we may make an equilateral triangle which has 3 lines of symmetry.

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Question 781 Mark

List any four symmetrical objects from your home or school.

Answer

Paper sheet, Glass, $CD$, Bucket.

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Question 791 Mark

A $45^\circ - 45^\circ - 90^\circ$ set-square has _______ line/ lines of symmetry.

Answer

A $45^\circ- 45^\circ- 90^\circ$ set-square has One line line/ lines of symmetry.
Solution: Since, a $45^\circ - 45^\circ - 90^\circ $ set square has a shape of isosceles triangle and an isosceles triangle has one line of symmetry.

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Question 801 Mark

A right triangle can have at most one line of symmetry.

Answer

A right-angled triangle can have one line of symmetry, if it is an isosceles triangle.

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Question 811 Mark

On a squared paper, sketch the following: A quadrilateral with both horizontal and vertical lines of symmetry.

Answer

A quadrilateral with both horizontal and vertical lines of symmetry may be drawn as following.

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Question 821 Mark

With ruler and compasses, we can bisect any given line segment.

Answer

We can bisect any given line segment, using ruler and compass.

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Question 831 Mark

The distance of the image of a point (or an object) from the line of symmetry (mirror) is ________ as that of the point (object) from the line (mirror).

Answer

The distance of the image of a point (or an object) from the line of symmetry (mirror) is Same as that of the point (object) from the line (mirror).

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Question 841 Mark

A rectangle is symmetrical about the lines joining the _________ of the opposite sides.

Answer

A rectangle is symmetrical about the lines joining the Mid-points of the opposite sides.

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Question 851 Mark

On a squared paper, sketch the following: A hexagon with six lines of symmetry.

Answer

A haxagon with six lines of symmetry may be sketched as following.

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Question 861 Mark

Only one perpendicular bisector can be drawn to a given line segment.

Answer

A line segment has only one perpendicular bisector.

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Question 871 Mark

The number of lines of symmetry in a picture of Taj Mahal is _______.

Answer

The number of lines of symmetry in a picture of Taj Mahal is One.

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Question 881 Mark

Copy the following drawing on a paper and compute it in such a way that resulting figure has two dotted lines as two lines of symmetry:

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Question 891 Mark

If a rectangle has more than two lines of symmetry, then it must be a square.

Answer

Because a square has four lines of symmetry.

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Question 901 Mark

Draw the line (or lines) of symmetry of the following figure.

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Question 911 Mark

In the figure, l is the line of symmetry. Draw the image of the triangle and complete the diagram so that it becomes symmetric.

Answer

The required triangle may be formed as below.

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Question 921 Mark

Copy the following drawing on squared paper. Complete one of them such that the resulting figure has two dotted lines as two lines of symmetry.

Answer

We may complete these figures by drawing similar parts as shown in these figures, first about the vertical line of symmetry and then about the horizontal line of symmetry of first about the horizontal line of symmetry and then about the vertical line of symmetry. Now completed figures will be as following.

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Question 931 Mark

Copy the following on a squared paper. A square paper is what you would have used in your arithmetic notebook in earlier classes. Then complete them such that the dotted line is the line of symmetry.