Q1:

Find the coordinates of image of the point (6, -4) when it is first reflected on the x-axis and then translated by \(\begin{pmatrix}-2\\-1\\ \end{pmatrix}\).

Q2:

Point (4, 5) is rotated about the origin O through +90^o and the image so obtained is reflected on the y-axis. Find the coordinates of the image.

Q3:

Find the coordinates of the image of the point (-4, 6) when it is first translated by \(\begin{pmatrix}6\\-4\\ \end{pmatrix}\) and then reflected on the X-axis.

Q4:

If r₁ is the  reflection  in y-axis and r₂ is the rotation through -90^o about the origin. Find the image of point P(-5, 8) under the combined transformation r₁r₂.

Q5:

P' is the image of P(-3, 5) after a rotation about the origin through -90^o and p'' is the image of p' after a reflection on the x-axis. Write down the coordinates of p' and p''.

Q6:

Point (-9, 15) is rotated about the origin through -180^o and the image so formed is reflected on the line y = x. Find the coordinates of the image so obtained.

Q7:

A(2, 3), B(2, 6) and C(3, 4) are the vertices of ΔABC. If T₁ =\(\begin{pmatrix}-2\\1\\ \end{pmatrix}\) and T₂ =\(\begin{pmatrix}0\\2\\ \end{pmatrix}\) are two translation then find the image of  ΔABC under the combined transformation T₂0T₁.

Q8:

Point (-2, 3)is rotated about the origin through 90^o and the image so obtained is reflected on the x - axis. Find the coordinates of the image.

Q9:

Point (3, -2) is rotated about the origin O through -90^o and the image so formed is reflected on the x-axis. Find the coordinates of the image formed.

Q10:

Point(3, 2) is reflected on the line y = x. The image so obtained is rotated about O through +90^o. Find the coordinates of this image.

Q11:

On a graph paper draw a triangle PQR having the vertices P(1, 4), Q(4, 1) and R(7, 5). Find the image of triangle PQR by stating coordinates and graphing them after successive reflection in y-axis followed by the reflection in the line x = y.

Q12:

Draw the figure having vertices O(0, 0), A(2, 0), B(3, 1) and C(1, 1) on a  graph  paper. It is translated by \(\begin{pmatrix}0\\2\\ \end{pmatrix}\) and plot the figure O' A' B' C' on the same graph paper. Then the figure O' A' B' C' is reflected on the line x = 3 to form the figure O'' A" B" C" on the same graph. Determine the vertices of O", A", B" and C".

Q13:

A triangle with vertices A(1, 2), B(4, -1) and C(2, 5) is reflected successively in the line x = 5 and y = -2. Find by stating coordinates and graphically represent the images under these transformations. Also state the single transformation given by the combination of these transformations. 

Q14:

Draw the triangle MNP whose vertices are M(4, -2), N(2, 1) and P(5, 2). Rotate triangle MNP through clockwise 180^o about (1, 1) and followed by 90^o+ about (1, 1) and draw the image points on the graph.

Q15:

Enlarge the ΔPQR with vertices P(-4, 6), Q(2, 8) and R(6, 2) under enlargement E[(2, 3), -2] and then reflect the image under the line y = x. Also draw the triangle ABC and its image on the same graph paper.