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Lady bird [3.3K]
3 years ago
7

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.

Mathematics
1 answer:
natta225 [31]3 years ago
8 0

Answer:

Correct answer is:

The transformation was a 180° rotation about the origin.

Step-by-step explanation:

Given the triangle RST formed by points:

R (1, 1),\\S (3, 1)\ and\\T (1, 6)

is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :

R' (-1, -1),\\S' (-3, -1)\ and\\T' (-1, -6)

Please refer to the attached image for the given dimensions and coordinates.

It is clearly visible that:

The given triangle RST has coordinates in first quadrant.

and the resulting coordinates R'S'T' are in third quadrant.

The rotation of angle from 1st quadrant to 2nd quadrant is 90^\circ and

The rotation of angle from 2nd quadrant to 3rd quadrant is 90^\circ.

<em></em>\therefore<em> total rotation is </em>180^\circ.

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