Question

Triangle RST has vertices R(2, 0), S(4, 0), and T(–3, –1). The image of triangle RST after a rotation has vertices

R'(0, –2), S'(0, –4), and T'(–3, –1). Which rule describes the transformation?


R0, 90°
R0, 180°
R0, 270°
R0, 360°

Answer 1

It should be C aka 270°

Explanation:

Answer 2

3 option is correct.

Explanation:

Given Triangle RST has vertices R(2, 0), S(4, 0), and T(–3, –1). The image of triangle RST after a rotation has vertices R'(0, –2), S'(0, –4), and T'(–3, –1).

We have to tell the rule describes the transformation.

A rotation is transformation that turns a figure about a fixed point. An object and its rotation are the same shape, but the figures may turned or rotate in different directions.

Here, the coordinates shift after rotation according to the rule

(2,0) → (0,-2) i.e (x, y) → (y, -x)

As, Rotation of 270º on coordinate axes.

(x, y) → (y, -x)

which match to the given rule.

hence, 3 option is correct.