ОА.
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
OB.
a reflection across the x-axis, and then a dilation by a scale factor of 3
a reflection across the x-axls, and then a dilation by a scale factor of 2
Ос.
D.
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 3

Question

14-01-2021
Mathematics

contestada

ОА.
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
OB.
a reflection across the x-axis, and then a dilation by a scale factor of 3
a reflection across the x-axls, and then a dilation by a scale factor of 2
Ос.
D.
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 3

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joaobezerra joaobezerra · Answer 1 · 2021-01-20T01:05:55+01:00

Answer:

a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2

Step-by-step explanation:

At Image I, we have vertex at point (3,-2), and the length of the left side is of 1 unit(from -2 to -3).

In the larger figure, this length is of 2 units, so the dilation has a scale factor of 2 units. The rotation, due to the coordinates changing, is of 90º counterclockwise(if it was across the x-axis, only the y coordinate would change, but on image II, both coordinates change).

So the correct answer is:

a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2