Triangle UVW is dilated with a scale factor of 1∕3 with the center of dilation at the origin. What are the coordinates of the resulting triangle U′V′W′? answers: A) U′ (0, 1), V′ (2, 2), W′ (2, 0) B) U′ (0, 2), V′ (3, 3), W′ (4, 0) C) U′ (0, 1), V′ (3, 3), W′ (2, 0) D) U′ (0, 9), V′ (18, 18), W′ (18, 0)

A) U′ (0, 1), V′ (2, 2), W′ (2, 0)

Step-by-step explanation:

The coordinate plane showing Triangle UVW is found online and attached below.

From the graph, the coordinates of the vertices of the triangle are:

U(0,3), V(6,6) and W(6,0)

When you dilate a point (x,y) with a scale factor of 1/3, you obtain:

Therefore, applying the dilation , we have:

The coordinates of the resulting triangle U′V′W′ are:

U′ (0, 1), V′ (2, 2), W′ (2, 0)

The correct option is A.

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