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

R (1, 1)
S (3, 1)
T (1, 6) R' (–1, –1)
S' (–3, –1)
T' (–1, –6)

Sagot :

The transformation was a 180° rotation about the origin.

We can solve this question by plotting the points R (1, 1)

S (3, 1) T (1, 6) and R' (–1, –1) S' (–3, –1) T' (–1, –6) on the graph as shown below.

As we can see from the graph, the original triangle RST which was in quadrant 1, now becomes triangle R’S’T’ in quadrant 3. Thus, when triangle RST was transformed using the rule (x, y) → (–x, –y), from quadrant 1 to quadrant 3 it is a 180° rotation about the origin.

Hence, the transformation was a 180° rotation about the origin.

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Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown. R (1, 1) S (3, 1) T (1, 6) R' (–1, –1) S' (–3, –1) T' (–1, –6)

Which best describes the transformation?

The transformation was a 90° rotation about the origin.

The transformation was a 180° rotation about the origin.

The transformation was a 270° rotation about the origin.

The transformation was a 360° rotation about the origin.

Learn more about graphical transformations here-

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