Chapter SR14, Problem 9P

Solution

Transform $\Delta PST$ . Graph the result. For rotation, rotate about the origin. Reflect in x-axis.

Graph drawn below.

Given:

The given graph is -

  

Concept Used:

• 90° clockwise rotation: (x, y) becomes (y,-x). 
• 90° counterclockwise rotation: (x, y) becomes (-y, x).
• 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

Calculation:

Given the graph of $\Delta PST$ .

Coordinate of - $P(4,-1)$

  $S(-3,-5)$

  $T(0,2)$

On reflecting $\Delta PST$ to x-axis −

P becomes $(4,1)$

S becomes $(-3,5)$

T becomes $(0,-2)$

Graph of reflecting of $\Delta PST$ to x-axis is −