Question

Complete this statement.

A rotation of 180° around (0,0) has the same effect as an enlargement by a scale factor ______ with the center of enlargement ______.

a) -1; (0, 0)
b) 0; (0, 0)
c) 1; (0, 0)
d) 2; (0, 0)

Answer 1

A 180° rotation around (0,0) is the same as an enlargement by a scale factor of -1, with the center of enlargement at (0, 0).

Step-by-step explanation:

A rotation of 180° around the origin (0,0) has the same effect as an enlargement by a scale factor -1 with the center of enlargement (0, 0). This means that every point (x, y) after a 180° rotation becomes (-x, -y). It's the equivalent of multiplying the coordinates by -1, which is an enlargement by a scale factor of -1 centered at the origin.

A rotation of 180° around (0,0) has the same effect as an enlargement by a scale factor -1 with the center of enlargement (0, 0). with the center of enlargement at (0, 0).