14. Given: A (3,1), B (4,5), C (2,3), D (-1, -3), E (-5, -4), F (-3, -2)
Which statement proves ΔABC maps onto ΔDEF?
A. Rotation: (x, y) → (y, -x), followed by a Reflection: (x, y) → (x, -y).
B. Reflection: (x, y) → (-x, y), followed by a Rotation: (x, y) → (y, -x).
C. Translation: (x, y) → (x-4, y), followed by a Translation: (x, y) → (x, y-6).
D. Rotation: (x, y) → (-y, x), followed by a Reflection: (x, y) → (x, -y).

Dis the correct  answer

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