The transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.
<h3>What is transformation?</h3>
A transformation is a general term for four specific ways to manipulate the shape or position of a point, a line, or a geometric figure.
We have,
Coordinates of a pentagon Q.
(2, 4), (3, 7), (7, 5), (5,4), and (4,2).
Coordinates of pentagon Q'.
(-2, -4), (-3, -7), (-7, -5), (-5,-4), and (-4,-2).
We see that the coordinates of each point of the pentagon Q have changed their position as negative coordinates in pentagon Q'
The coordinates of pentagon Q are in (x, y) which can be assumed to be in the first quadrant of the coordinate plane.
The coordinates of pentagon Q' are in (-x, -y) which is in the 3rd quadrant.
From the first quadrant to 3rd quadrant there is a rotation of 180°.
Thus the transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.
Learn more about transformation here:
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