Question

The sequence of transformations, Ro,90°°rx-axis, is applied to AXYZ to produce AX"Y"Z". If the coordinates of Y".

3.0), what are the coordinates of Y?

Answer 1

The coordinates of Y are (0,3)

Step-by-step explanation:

Given that the coordinate of Y'' is (3,0)

We need to determine the coordinates of Y

Coordinates of Y:

The transformation rule for rotating a point 90° about the origin is given by

`(x,y)\implies(-y,x)`

Since, the Y'' coordinate is (3,0) and substituting x = 3 and y = 0 in the above rule, we get,

`(3,0)\implies(0,3)`

Thus, the coordinates of Y is (0,3)