What are the resulting coordinates of triangle A′B′C′ after reflecting triangle ABC across the origin if the vertices of triangle ABC are A(2, 6), B(–4,–7), and C(5, –4)? Question 15 options: A) A′(–2, –6), B′(4,7), C′(–5, 4) B) A′(2, –6), B′(–4,7), C′(5, 4) C) A′(6, 2), B′(–7,–4), C′(–4, –5) D) A′(–2, 6), B′(4,–7), C′(–5, –4)

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