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On a squared paper, sketch the following:
(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry.
(b) A quadrilateral with both horizontal and vertical lines of symmetry.
(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.
(d) A hexagon with exactly two lines of symmetry.
(e) A hexagon with six lines of symmetry.
(Hint : It will be helpful if you first draw the lines of symmetry and then complete the figures.)

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:37:30

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To do:We have to sketch the given figures on a squared paper. Solution:Line of Symmetry: It is a line that divides the figure into two symmetrical parts in such a way that the figure on one side is the mirror image of the figure on the other side.Therefore, (a) A triangle with ... Read More

Can you draw a triangle which has
(a) exactly one line of symmetry?
(b) exactly two lines of symmetry?
(c) exactly three lines of symmetry?
(d) no lines of symmetry?
Sketch a rough figure in each case.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:37:28

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To do:We have to draw a triangle which has (a) exactly one line of symmetry(b) exactly two lines of symmetry(c) exactly three lines of symmetry(d) no lines of symmetrySolution:(a) We can draw an isosceles triangle which has only 1 line of symmetry as shown in the below figure.(b) We cannot draw ... Read More

Let A, B be the centres of two circles of equal radii; draw them so that each one of them passes through the centre of the other. Let them intersect at \\( C \\) and \\( D \\). Examine whether \\( \\overline{\\mathrm{AB}} \\) and \\( \\overline{\\mathrm{CD}} \\) are at right angles.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:37:27

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Given:$A, B$ are the centres of two circles of equal radii. To do:  We have to examine whether $\overline{AB}$ and $\overline{CD}$ are at right angles.Solution: Let us draw two circles of equal radii so that each one of them passes through the center of the other.Mark the centres of these ... Read More

Draw any circle and mark points \\( \\mathrm{A}, \\mathrm{B} \\) and \\( \\mathrm{C} \\) such that
(a) \\( \\mathrm{A} \\) is on the circle.
(b) \\( \\mathrm{B} \\) is in the interior of the circle.
(c) \\( \\mathrm{C} \\) is in the exterior of the circle.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:37:24

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To do:We have to draw a circle and mark points $A, B$ and $C$ such that(a) $A$ is on the circle(b) $B$ is in the interior of the circle.(c) $C$  is in the exterior of the circle.Solution:Draw a circle with the centre '$O$' using compasses.Now, Let us mark point '$A$' ... Read More

Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer?

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:37:23

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To do:We have to draw a circle and any two of its diameters and find the figure obtained(a) By joining the ends of the diameters.(b) If the diameters are perpendicular to each other.Solution: Draw a circle with the centre '$O$'.Let $AB$ and $CD$ be two diameters of the above circle.(a) ... Read More

With the same centre \\( O \\), draw two circles of radii \\( 4 \\mathrm{~cm} \\) and \\( 2.5 \\mathrm{~cm} \\).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:37:22

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To do:We have to draw two circles of radii $4\ cm$ and $2.5\ cm$.Solution: Steps of construction:(i) To draw the circles of radii $4\ cm$  and $2.5\ cm$, take compasses and first measure $2.5\ cm$ by using a ruler.(ii) Mark a point '$O$' for the centre.(iii) On the point '$O$' ... Read More

Draw a circle of radius \\( 3.2 \\mathrm{~cm} \\).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:37:21

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To do:We have to draw a circle of radius $3.2\ cm$.Solution: Steps of construction:(i) To draw the circle of radius of $3.2\ cm$, take compasses and measure $3.2\ cm$ by using a ruler.(ii) Mark a point '$O$'.(iii) On the point '$O$', place the pointer of the compasses.(iv) Turn the compasses ... Read More

Copy the triangle in each of the following figures on squared paper. In each case, draw the line(s) of symmetry, if any and identify the type of triangle.
"

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:37:17

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To do:We have to draw the line(s) of symmetry and identify the type of triangle. Solution:Line of Symmetry: It is a line that divides the figure into two symmetrical parts in such a way that the figure on one side is the mirror image of the figure on the other side.Therefore, (a)The ... Read More

Find the number of lines of symmetry for each of the following shapes :
"

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:37:08

51 Views

Given:$l$ is the line of symmetry.To do:We have to find the number of lines of symmetry for each of the given shapes. Solution:Line of Symmetry: It is a line that divides the figure into two symmetrical parts in such a way that the figure on one side is the mirror image of ... Read More

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

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:37:07

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Given:$l$ is the line of symmetry.To do:We have to draw the image of the triangle and complete the diagram so that it becomes symmetric. Solution:Symmetry :When an image looks identical to the original image after the shape is turned or flipped, then it is called symmetry.The required image of the triangle ... Read More

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