Question

You rotate triangle ABC, with vertices A(-3, 1), B(-2, 2), and C(-3, 4), 90° counterclockwise about the origin to form triangle A′B′C′. Match each vertex of triangle A′B′C′ to its coordinates. Tiles (2, 2) (-1, -3) (1, 3) (4, 3) (-2, -2) (-4, -3)

Answer 1

The rule for going 90 degree counter clockwise is:
(x, y) becomes (y, -x)

Therefore, the new points are:

A(-3, 1) to (1, 3)
B(-2, 2) to (2, 2)
C(-3, 4) to (4, 3)

Answer 2

The coordinates of A' are (-1,-3) , B' are (-2,-2) , C' are (-4,-3).

Explanation:

You rotate triangle ABC, with vertices A(-3, 1), B(-2, 2), and C(-3, 4), 90° counterclockwise about the origin to form triangle A′B′C′.

" When point M (h, k) is rotated about the origin O through 90° in anticlockwise direction. The new position of point M (h, k) will become M'(-k, h) ".

As the coordinates of A are (-3,1)

⇒ h=-3 and k=1

Hence, the coordinates of A' will be (-1,-3)

similarly the coordinates of B are (-2,2)

⇒ h=2 and k=-2

Hence, coordinates of B' are: (-2,-2)

similarly the coordinates of C are (-3,4).

⇒ h=-3 and k=4

Hence, coordinates of C' are (-4,-3).