1. The point P(2, -3) is reflected on the X-axis. The image P' thus obtained is rotation through +90° about origin. Find the coordinates of the final image P'' and P'.
2. Triangle PQR having vertices P(2, 1), Q(5, 3) and R(7, -1) is reflected on the y-axis, the image so formed is enlarged by E[(0, 0),2]. Write the co-ordinates of the vertices of the images thus obtained and present the ∆PQR and its images in the same graph paper.
3. L (2, 2) O (6, 2) V (7, 4) and E (3, 4) are the vertices of a parallelogram LOVE. Find the co- ordinates of the vertices of the images of parallelogram LOVE under the rotation of positive 90° about origin followed by enlargement E [(0, 0), 3]. Represent the object and images on the same graph paper.
4. P(1, 2), Q(2, 1) and R(4, 3) are the vertices of the triangle PQR. Find the coordinates of the images of the triangle PQR under the reflection on the line y = x followed by the enlargement E [(0, 0), 2]. Present the ∆PQR and its images in the same graph paper.
5. The vertices of ∆ABC are A (2, 0), B(3, 1) and C (1, 1). ∆ABC is translated by the vector
6. C(2, 5), A(-1, 3) and T(4, 1) are the vertices of the triangle CAT. Find the coordinates of the images of triangle CAT under the rotation of positive 90° about origin followed by enlargement E [(0,0), 2]. Represent the object and images in the same graph paper.
7. State the single transformation equivalent to the combination of reflections on the X- axis and Y-axis respectively. Using this single transformation find the coordinates of the vertices of the image of ∆ABC having vertices A(2,3), B(3,4), C(1,-2,) . Also, draw the object and image on the same graph.
8. A ∆ABC with vertices A(1, 2) B(4, -1) and C(2, 5) is reflected successively in the line y = x and the X- axis. Find the stating co- ordinates and graphically represent the image under these transformations. State also the single transformation given by the combinations of these transformations.
9. State the single transformation equivalent to the combination reflections on the X- axis and Y-axis respectively. Using this single transformation find the coordinates of the vertices of the image of ∆ PQR having vertices P(4,3), Q(1,1), and R(5,-1,). Also, draw the object and image on the same graph.
10. K(2, 5), L(-1, 3), and M (4, 1) are the vertices of a triangle KLM. Find the coordinates of the images of triangle KLM under the rotation of positive 90°about origin followed by enlargement E [(0, 0), 2]. Present the object and images in the same graph paper.
11. Translate the ∆PQR vertices are P (2, 4), Q(-1, 2) and R (5, -1) by translation vector T =