Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

Draw any figure showing neither reflection nor rotational symmetry.

Give the order of rotational symmetry and angle of rotation for the following figure:

Give the order of rotational symmetry and angle of rotation for the following figure:

Give the order of rotational symmetry and angle of rotation for the following figure:

Give the order of rotational symmetry and angle of rotation for the following figure:

Give the order of rotational symmetry and angle of rotation for the following figure:

Give the order of rotational symmetry and angle of rotation for the following figure:

Draw three figures which do not show either the reflection or the rotation symmetry.

Draw three figures which show only the reflection symmetry but not the rotational symmetry. Also draw the line (axis) of symmetry.

Do the following figures show rotational symmetry? Find the value of angle of rotation.

Does the following figure show the rotational symmetry? If yes, find the angle of rotation.

Find the angle of rotation, if any, for the following figures:

Find the angle of rotation, if any, for the following figures:

Find the angle of rotation, if any, for the following figure:

Enlarge $P$ by a scale factor $2$ centre $(0,0)$. Label the image.

John dilated the $△ABC$ by a scale factor of $3$ to obtain the image triangle $△A\text{'}B\text{'}C\text{'}$. The coordinates of the vertices of $△ABC$ are: $A(3,3), B(5, 3), C(5, 1)$. Determine the coordinates of $△A\text{'}B\text{'}C\text{'}$.

This triangle has rotational symmetry of order _____.

 What does the equation $2x+3=-1$ represent when considered as a linear equation in two variables?

The following question consists of two sets of figures. There is a definite relationship between the first set of figures. Establish a similar relationship between the second set of figures by selecting a suitable figure from the options.

Graph the rectangle $ABCD$ with coordinates $A(-2,1),B(1,1),C(1,-1),D(-2,-1)$ . Then dilate the image by a scale factor of $2$ with the origin as the centre of dilation.