1) Calculate the transformed points of the triangle with vertices A (3, 2) , B(7, 4) and C(5,6) after applying scaling given the scaling vector as (2,2.5).

Show the original and the transformed triangle in the same graph with suitable coordinates.

Comment on the type of scaling with suitable reasons and on the change if any in the size of the triangle.

2) Find the coordinates of the vertices of triangle with T(2,1), R(4,3)andI(3,2) if it is to be moved 5 units to the left and 2 units up. Write the coordinates of the triangle as a coordinate matrix Translating the triangle 5 units to the left means that each x -coordinate decreases by 5 . Translating the triangle 2 units up means that each y -coordinate increases by 2

3) Use the figure below to answer each of the following questions. Be sure to write everything in coordinate notation when possible.

1. Translate this figure three units up.

2. Translate this figure four units to the right.

3. User the Matrix to find the new vertices

4. Draw the new figure.

5. Comment on the new figure 2

4) For example, to scale a triangle with respect to the origin, with vertices at original coordinates (10,20), (10,10), (20,10) by sx=2, sy=1.5. with respect to the origin. Roughly plot the original and resultant triangles.

5) Rotate a triangle with vertices (10,20), (10,10), (20,10) about the origin by 30 degrees and then translate it by tx=5, ty=10