The coordinates of ΔABC are (-3, 4), (0, 4), and (2, 5). The coordinates of ΔA'B'C' are (-1.5, 2), (0, 2) and (1, 2.5). How do you know that the transformation is a dilation? A) The coordinates of ΔABC have been multiplied by a scale factor of 0.5. B) The coordinates of ΔABC have been multiplied by a scale factor of 2. C) The signs of the coordinates of ΔABC have remained the same. D) The coordinates of ΔABC have been divided by 1 2.

Question

Mathematics

Arabella Krueger

10 January, 02:20

The coordinates of ΔABC are (-3, 4), (0, 4), and (2, 5). The coordinates of ΔA'B'C' are (-1.5, 2), (0, 2) and (1, 2.5). How do you know that the transformation is a dilation? A) The coordinates of ΔABC have been multiplied by a scale factor of 0.5. B) The coordinates of ΔABC have been multiplied by a scale factor of 2. C) The signs of the coordinates of ΔABC have remained the same. D) The coordinates of ΔABC have been divided by 1 2.

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Ezekiel · Answer 1

Answer: Choice A

The coordinates of triangle ABC have been multiplied by a scale factor of 0.5

In other words, the coordinates have been cut in half or they divided each coordinate value over 2

eg: (-3,4) - - > (-1.5, 2)

since - 3/2 = - 1.5 and 4/2 = 2

The resulting figure is smaller. Specifically the linear dimensions are half that as the original.