Question

Point M at the coordinates (−3,−6) is rotated 180° then reflected in the x-axis. Write down the coordinates of the transformed point M’.

A) (−3, 6)
B) (−3, −6)
C) (3, 6)
D) (3, −6)

Answer 1

After rotating Point M at coordinates (-3,-6) 180° around the origin and reflecting it in the x-axis, the new coordinates are (3, -6), which corresponds to answer choice D) (3, -6).

Step-by-step explanation:

The question involves finding the coordinates of Point M at the coordinates (−3,−6) after it is rotated 180° and then reflected in the x-axis. To solve this:

1. When a point is rotated 180° around the origin, both its x and y coordinates are negated. Thus after the rotation Point M would be at (3, 6).
2. Reflecting this new point in the x-axis means inverting its y-coordinate, keeping the x-coordinate the same. Thus, the reflected point M' would have coordinates (3, -6).

Therefore, the transformed coordinates of Point M are (3, -6), which corresponds to answer choice D) (3, -6).