Chapter 11.3, Problem 10PPS

To determine

The image formed by the triangle with the given coordinates after rotation of ${\text{180}}^{°}$ .

Explanation of Solution

The given co-ordinate for the vertex P (-3,1) denotes 3 units in the negative X-direction and 1 unit in the Positive Y-direction.

Similarly, Q (0,4) denotes 0 units in the X-direction and 4 units in the Positive Y-direction.

R (1,-1) denotes 1 units in the Positive X-direction and 1 unit in the negative Y-direction.

A graph is plotted according to the co-ordinates of P,Q and R taking 2 small square as 1 unit.

i.e. 1 unit = 2 small square

  

Figure (a): Triangle formed with the given coordinates

After rotation of ${\text{180}}^{°}$ about the origin, the co-ordinates of the Vertex are:

P(3,1),Q(0,-4), and R(-1,1)

Figure (b) represents the triangle after ${\text{180}}^{°}$ rotation.

  

Figure (b) Triangle after rotation of ${\text{180}}^{°}$