Question

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). 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 is C 270

Explanation:

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Answer 2

The correct option is C.

Explanation:

It is given that the triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3) and the image has vertices R'(0, –2), S'(0, –4), and T'(–3, –1). .

From the given vertices it is clear that the relation between preimage and image is defined as

`(x,y)\rightarrow (y,-x)`

This is the rule of rotation, when the figure rotates 90 degree clockwise adn 270 degree counter clock wise.

R0, 270° represents 270 degree rotation counter clock wise about the origin.

Therefore correct option is C.