Question

An animator is drawing a scene in which a ladybug moves around three mushrooms. The figure shows the starting position of the ladybug. The animator rotates the ladybug 180° around mushroom A, then 180° around mushroom B, and finally 180° around mushroom C. What are the final coordinates of the Ladybug? What are the final coordinates of the ladybug?

Answer 1

(-1, 4)

Step-by-step explanation:

Original position of the ladybug → (-1, 4)

Animator rotates the ladybug 180° around the mushroom A.

Coordinates of the new position of the ladybug → (-5, -4)

Now this point is rotated by 180° around the mushroom B,

Coordinates of the new position → (0, 3)

Point (0, 3) has been rotated again by 180° about the mushroom C,

Coordinates of the new position → (-1, 4)

Therefore, ladybug will come back to its original position after these transformations at (-1, 4).