Question

A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'? (–4, 2) (–2, 4) (2, 4) (4, –2)

Answer 1

Answer:

(-4, 2)

Step-by-step explanation:

Under a 90° rotation (conventionally anticlockwise) about the origin, each point (x,y) is mapped to the point (-y,x).

So...

S = ( -2, -4 )

--> ( 4, -2 ) after 90°

--> ( 2, 4 ) after 180°

--> ( -4, 2 ) after 270°

Alternatively, reverse the rule for 90° rotation to see that if (x,y) goes to (-y,x) with a 90° anticlockwise rotation, then (-y,x) goes to (x,y) with a 90° clockwise rotation.  Since 270° anticlockwise is the same as 90° clockwise:

S = ( -2, -4 ) --> ( -4, 2 )