Question

The sequence of transformations, RO,90° ° rx-axis, is applied to ΔXYZ to produce ΔX''Y''Z''. If the coordinates of Y'' are (3, 0), what are the coordinates of Y?



Y(, )

Answer 1

The transformation can be defined as the introduction of a new set of mathematical coordinates. The coordinate of Y will be (0,3).

What is transformation?

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

When a point with coordinates (x,y) is transformed by rotating 90°, then the coordinate of the new points are given as (-y,x).

Now, given that there exists a ΔXYZ. Now if the ΔXYZ is transformed, therefore rotated by 90° to form triangle X'Y'Z', then the coordinate of Y' is (-3,0). Therefore, the coordinate of Y will be (0,3).

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