Question

is polygon f a scaled copy of polygon e?
is polygon f a scaled copy of polygon e?
polygon e: sides 2,1,2,1; angles 40°,140°,40°,140°
polygon f: sides 8,4,8,4; angles 80°,100°,80°,100°
options: yes, no

Explanation:

Step1: Check angle correspondence

For a scaled copy, corresponding angles must be equal. In Polygon E, angles are \(40^\circ, 140^\circ, 140^\circ, 40^\circ\). In Polygon F, angles are \(80^\circ, 100^\circ, 100^\circ, 80^\circ\). These angles do not match, so the angle condition for a scaled copy (equal corresponding angles) is not met.

Step2: Check side ratio consistency (optional, but angle mismatch is enough)

Even if we check side ratios: In Polygon E, side lengths are \(1, 2, 1, 2\). In Polygon F, side lengths are \(4, 8, 4, 8\). The ratio of sides of F to E is \(4/1 = 4\), \(8/2 = 4\) (for some sides), but since angles don't match, it can't be a scaled copy.

Answer:

No