180 Degree Rotations Quick Check5 of 55 of 5 ItemsQuestionUse the image to answer the question.An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 8 to 8 in increments of 1. Four triangles are plotted on the graph. The four triangles plotted are triangle A B C, triangle A prime B prime C prime, triangle A double prime B double prime C double prime, and triangle A triple prime B triple prime C triple prime. The triangle A B C has its vertices marked with closed points at A left parenthesis 2 comma 4 right parenthesis, B left parenthesis 6 comma 6 right parenthesis, and C left parenthesis 6 comma 2 right parenthesis. The triangle A prime B prime C prime has its vertices marked with closed points at A prime left parenthesis negative 4 comma 2 right parenthesis, B prime left parenthesis negative 6 comma 6 right parenthesis, and C prime left parenthesis negative 2 comma 6 right parenthesis. The triangle A double prime B double prime C double prime has its vertices marked with closed points at A double prime left parenthesis negative 2 comma negative 4 right parenthesis, B double prime left parenthesis negative 6 comma negative 6 right parenthesis, and C double prime left parenthesis negative 6 comma negative 2 right parenthesis. The triangle A triple prime B triple prime C triple prime has its vertices marked with closed points at A triple prime left parenthesis 4 comma negative 2 right parenthesis, B triple prime left parenthesis 6 comma negative 6 right parenthesis, and C triple prime left parenthesis 2 comma negative 6 right parenthesis.Given point A (2, 4) on the triangle Quadrant I, where is the new point if the triangle is rotated 270 degrees counterclockwise?(1 point)Responses(−4, 2) left parenthesis negative 4 comma 2 right parenthesis(4,−2) left parenthesis 4 comma negative 2 right parenthesis(−2,−4)left parenthesis negative 2 comma negative 4 right parenthesis(−4,−2) left parenthesis negative 4 comma negative 2 right parenthesis

Answer 1

To rotate a point 270 degrees counterclockwise, we can exchange the x and y coordinates and negate the new x coordinate.

In this case, point A (2, 4) becomes (-4, 2).

Therefore, the answer is (-4, 2) or option (−4, 2) left parenthesis negative 4 comma 2 right parenthesis.