1 Marks Question

Question 11 Mark

Can we have a rotational symmetry of order more than $1$ whose angle of rotation is$17^\circ ?$

Answer

If the angle of rotation is $17^\circ $, then it is not possible to have rotational symmetry of order more than one since $360^\circ $ is not completely divisible by $17^\circ .$

View full question & answer→

Question 21 Mark

Can we have a rotational symmetry of order more than $1$ whose angle of rotation is $45^\circ ?$

Answer

If the angle of rotation is $45^\circ $, then it is possible to have rotational symmetry of order more than one since, $360^\circ $ is completely divisible by $45^\circ .$

View full question & answer→

Question 31 Mark

If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than $1?$

Answer

Yes, a figure having two or more lines of symmetry will have rotational symmetry of order more than one since, both the line symmetry and the rotational symmetry are symmetric about the centre axis.

View full question & answer→

Question 41 Mark

Draw, wherever possible, a rough sketch of a quadrilateral with a rotational symmetry of order more than $1$ but not a line symmetry.

Answer

Not possible. A quadrilateral with a line symmetry may have rotational symmetry of order one but not more than one.

View full question & answer→

Question 51 Mark

Name any two figures that have both line symmetry and rotational symmetry.

Answer

An equilateral triangle and a square have both line symmetry and rotational symmetry.

View full question & answer→

Question 61 Mark

Give the order of rotational symmetry for the figure:

Answer

The figure has a $3rd$ order of rotational symmetry.

View full question & answer→

Question 71 Mark

Give the order of rotational symmetry for the figure:

Answer

The figure has a 6th order of rotational symmetry.

View full question & answer→

Question 81 Mark

Give the order of rotational symmetry for the figure:

Answer

The figure has a $5th$ order of rotational symmetry.

View full question & answer→

Question 91 Mark

Give the order of rotational symmetry for the figure:

Answer

The figure has a $4th$ order of rotational symmetry.

View full question & answer→

Question 101 Mark

Give the order of rotational symmetry for the figure:

Answer

The figure has a $4th$ order of rotational symmetry.

View full question & answer→

Question 111 Mark

Give the order of rotational symmetry for the figure:

Answer

The figure has a $3rd$ order of rotational symmetry.

View full question & answer→

Question 121 Mark

State the number of lines of symmetry for figure: A regular hexagon

Answer

The number of lines of symmetry $= 6$

View full question & answer→

Question 131 Mark

State the number of lines of symmetry for figure: A quadrilateral

Answer

The number of lines of symmetry $= 0$

View full question & answer→

Question 141 Mark

State the number of lines of symmetry for figure: A parallelogram

Answer

The number of lines of symmetry $= 0$

View full question & answer→

Question 151 Mark

State the number of lines of symmetry for figure: A rhombus

Answer

The number of lines of symmetry $= 2$

View full question & answer→

Question 161 Mark

State the number of lines of symmetry for figure: A rectangle

Answer

The number of lines of symmetry $= 2$

View full question & answer→

Question 171 Mark

State the number of lines of symmetry for figure: A square

Answer

The number of lines of symmetry =$ 4$

View full question & answer→

Question 181 Mark

State the number of lines of symmetry for figure: A scalene triangle

Answer

The number of lines of symmetry $= 0$

View full question & answer→

Question 191 Mark

State the number of lines of symmetry for the figure: An isosceles triangle

Answer

The number of lines of symmetry $= 1$

View full question & answer→

Question 201 Mark

State the number of lines of symmetry for figure: A circle

Answer

The number of lines of symmetry = Infinite

View full question & answer→

Question 211 Mark

State the number of lines of symmetry for figure: An equilateral triangle

Answer

The number of lines of symmetry $= 3$

View full question & answer→

Question 221 Mark

Copy the diagram and complete the shape to be symmetric about the mirror lines:

View full question & answer→

Question 231 Mark

Copy the diagram and complete the shape to be symmetric about the mirror line:

Answer

To complete the figure, we need to join the squares exactly the same way as the shape is in on the other side of the line of symmetry. Hence, the completed figure is shown as follows:

View full question & answer→

Question 241 Mark

Copy the diagram and complete the shape to be symmetric about the mirror line:

Answer

To complete the figure, we need to join the squares exactly the same way as the shape is in on the other side of the line of symmetry. Hence, the completed figure is shown as follows:

View full question & answer→

Question 251 Mark

In the figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete the figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

Answer

The other side of the figure is found by just flipping the image onto the vertical axis.
The figure is an octagon, since there are eight sides and all sides are equal.

View full question & answer→

Question 261 Mark

In the figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete the figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete

Answer

The reflection in the dotted line is-

View full question & answer→

Question 271 Mark

In the figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete the figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

Answer

The other side of the figure is found by just flipping the image onto the vertical axis.
The figure is a circle since the radius of the figure is uniform.

View full question & answer→

Question 281 Mark

In the figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete the figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

Answer

The other figure side of the figure is found by just flipping the image onto the vertical axis.
The figure is a rhombus since all sides are equal and the angle between the sides is not $90^{\circ}$.

View full question & answer→

Question 291 Mark

In the figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete the figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

Answer

The other side of the figure is found by just flippling the image onto the vertical axis.

View full question & answer→

Question 301 Mark

In the figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete the figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

Answer

The complete figure is a rectangle.

View full question & answer→

Question 311 Mark

Given the line of symmetry, find the other hole:

Answer

The other hole must lie in such a position such that the line of symmetry divides the figure into two identical halves. In this case, the hole lies on either side of the line of symmetry.

View full question & answer→

Question 321 Mark

Given the line of symmetry, find the other hole:

Answer

The other hole must lie in such a position such that the line of symmetry divides the figure into two identical halves. In this case, the hole lies on the other half of the circle.

View full question & answer→

Question 331 Mark

Given the line of symmetry, find the other hole:

Answer

The other hole must lie in such a position such that the line of symmetry divides the figure into two identical halves. In this case, the hole lies on the other side of the line of symmetry and in the same corner.

View full question & answer→

Question 341 Mark

Given the line of symmetry, find the other hole:

Answer

The other hole must lie in such a position such that the line of symmetry divides the figure into two identical halves. In this case, the hole lies on the other side of line of symmetry and on the opposite side.

View full question & answer→

Question 351 Mark

Given the line of symmetry, find the other hole:

Answer

The other hole must lie in such a position such that the line of symmetry divides the figure into two identical halves. In this case, the hole lies on the other side of the line of symmetry and in the same corner.

View full question & answer→

Question 361 Mark

Copy the figure with punched holes and find the axes of symmetry:

Answer

The given figure is a triangle and the holes lie on the median. Hence, the line of symmetry will be the median bisecting the two holes.

View full question & answer→

Question 371 Mark

Copy the figure with punched holes and find the axes of symmetry:

Answer

The given figure is a triangle and the holes lie on two corners of the triangle. Hence, the line of symmetry will be the median of the triangle between the two holes.

View full question & answer→

Question 381 Mark

Copy the figure with punched holes and find the axes of symmetry:

Answer

The given figure is a triangle and the holes lie on two corners of the triangle. Hence, the line of symmetry will be the median of the triangle in between the two holes.

View full question & answer→

Question 391 Mark

Copy the figure with punched holes and find the axes of symmetry:

Answer

The given figure is a square the holes lie in the middle and on one side of the square. Hence, the line of symmetry will just be a vertical line through the centre bisecting one of the holes.

View full question & answer→

Question 401 Mark

Copy the figure with punched holes and find the axes of symmetry:

Answer

The given figure is a square the holes lie on each of the $4$ corners. Hence, the line of symmetry will be a horizontal and a vertical line along with the two diagonals of the square.

View full question & answer→

Question 411 Mark

Copy the figure with punched holes and find the axes of symmetry:

Answer

The axes of symmetry in the given figures are as follows:

View full question & answer→

Question 421 Mark

Copy the figure with punched holes and find the axes of symmetry:

Answer

The axis of symmetry for the given figure:

View full question & answer→

Question 431 Mark

Copy the figure with punched holes and find the axes of symmetry:

Answer

The axis of symmetry for the given figure:

View full question & answer→

Question 441 Mark

Copy the figure with punched holes and find the axes of symmetry:

Answer

The given figure is a circle where two holes lie on the horizontal diameter and one on the vertical diameter. Hence, the line of symmetry will be a vertical line on the diameter bisecting the hole.

View full question & answer→

Question 451 Mark

Copy the figure with punched holes and find the axes of symmetry:

Answer

The given figure is a circle and the holes lie on the horizontal and vertical diameter. Hence, the line of symmetry will be a vertical line vertical and horizontal passing through the centre and bisecting the holes.

View full question & answer→

Question 461 Mark

Copy the figure with punched holes and find the axes of symmetry:

Answer

The given figure is a circle and the holes lie on the horizontal diameter. Hence, the line of symmetry will be a vertical line in between the holes and a horizontal line bisecting the two holes and both passing through the centre.