Question

What is the image point of (8, -9) after the transformation R90° 0 T5,-2?

Answer 1

Given:

The point is (8,-9).

Rule of transformation $R(90^\circ,0)\circ T$.

To find:

The image of given point after transformation.

Solution:

Consider the give point is P(8,-9).

Rule of transformation $R(90^\circ,0)\circ T$ represents translation T<5,-2> after that rotation 90 degrees counter clockwise.

If a figure translated by T<5,-2>, then

$(x,y)\to (x+5,y-2)$

$P(8,-9)\to P'(8+5,-9-2)$

$P(8,-9)\to P'(13,-11)$

If a figure rotated 90 degrees counter clockwise, then

$(x,y)\to (-y,x)$

$P'(13,-11)\to P''(-(-11),13)$

$P'(13,-11)\to P''(11,13)$

Therefore, the image of point (8,-9) after transformation is (11,13).