Question

180 Degree Rotations Quick Check3 of 53 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 in Quadrant I, how would you describe the coordinates of the new point when the triangle is rotated 90 degrees clockwise?(1 point)Responses(−4, 2) left parenthesis negative 4 comma 2 right parenthesis(−2,−4)left parenthesis negative 2 comma negative 4 right parenthesis(4,−2) left parenthesis 4 comma negative 2 right parenthesis(−4,−2) left parenthesis negative 4 comma negative 2 right parenthesis

Answer 1

To describe the coordinates of the new point when the triangle is rotated 90 degrees clockwise, we need to swap the x and y coordinates and change the sign of the new x coordinate.

For point A (2, 4), the new point would be (4, -2).

So the correct answer is (4, -2).