A pentagon is graphed on a coordinate grid and then translated 4 units to the right and 7 units up. If one of the vertices of the original pentagon is located at (10,-2). what is the ordered pair of this vertex of the new pentagon after the translation?​

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c