Question

6) Triangle RST has vertices R(2,3), S(5. -1), and T(3, -4). The triangle is rotated 90° counterclockwise about the origin. Which are the coordinates of the image of vertex T?​

Answer 1

A(x,y)____rotation through 90°. >A'(-y,x)

Explanation:

T(3,-4))____rotation through 90°. >T'(4,3)

R(2,3))____rotation through 90°. >R'(-3,2)

S(5,-1))____rotation through 90°. >S'(1,5)

Answer 2

• T'(4, 3)

Explanation:

The rule of 90° counterclockwise rotation about the origin:

• (x, y) → (-y, x)

Apply the rule to the point T:

• T(3, -4) → T'(4, 3)