Atriangle is shown on the graph: a coordinate plane is shown. a triangle has vertices at negative 6 comma 2, negative 5 comma 5, negative 2 comma 2. what effect will a 90-degree clockwise rotation have on the triangle? be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.

given coordinates of a triangle (-6,2), (-5,5) and (-2,2).

the given transformation is 90-degree clockwise rotation have on the triangle.

in order to find the new coordinates of rotatation 90°clockwise about the origin, we can apply rule (h, k) > (k,-h).

where (h,k) are the coordinates of original image on axes and (k,-h) are the coordinates of rotated image.

in resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.

on applying rule (h, k) > (k,-h), we get

(2,6), (5,5) and (2,2).

in order to draw the rotated coordinates by an angle 90-degree clockwise, we can draw 90 angles in clockwise direction on each coordinates, we can get new coordinates.

because it's just translation (rotation), therefore pre-image and the new image would be congurent.

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