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yawa3891 [41]
4 years ago
15

Which transformation will be equivalent to rotating a figure 90° counterclockwise

Mathematics
1 answer:
stepladder [879]4 years ago
4 0

Answer:

<em>Reflecting over the x-axis and then reflecting over the line y = x.  </em>

Step-by-step explanation:

<em>A rotation 90° counterclockwise will map every point (x, y) to (-y, x).</em>

<em></em>

<em>Since the x- and y-coordinates are switched, this is not a reflection across the x-axis followed by a reflection across the y-axis.</em>

<em></em>

<em>Since the y-coordinate is negated and the x- and y-coordinates are switched, this is not a translation.</em>

<em></em>

<em>Reflecting across the x-axis will negate the y-coordinate, giving us (x, -y).  Following this with a reflection across y=x will switch the coordinates giving us (-y, x).  This is the correct transformation.</em>

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