Question

is polygon f a scaled copy of polygon e? polygon e (image with sides 1, 2, 2, 1 and angles 40°, 140°, 40°, 140°) polygon f (image with sides 4, 8, 8, 4 and angles 80°, 100°, 80°, 100°) yes no

Explanation:

Step1: Check angle correspondence

Polygon E has angles \(40^\circ, 140^\circ, 40^\circ, 140^\circ\). Polygon F has angles \(80^\circ, 100^\circ, 80^\circ, 100^\circ\). Angles don't match, so not similar (scaled copy requires same angle measures).

Step2: Check side ratio consistency

Polygon E sides: \(1, 2, 1, 2\). Ratios between corresponding sides (if we try to match) would not be consistent. For example, \(4/1 = 4\), \(8/2 = 4\), but angles differ, so even side ratios being 4 doesn't matter as angles must match for scaled copy.

Answer:

No