A hexagon has different side lengths and angle measures. The top and bottom sides are equal, and the left and right sides are equal. The top 2 angles and bottom 2 angles are equal, and the left and right angles are equal. At which angle will the hexagon rotate onto itself? 60° 90° 120° 180°

The answer is 180°

Step-by-step explanation:

For a hexagon to rotate unto itself, the shape after rotation and relative length and angles is identical to the original figures.

Since this hexagon is irregular i.e has sides of different lengths, and from the facts given, opposite sides and angles are equal.

This implies top/bottom, left/right and sides and angles 180° apart are identical.

Hence, only a 180° rotation will yield an identical hexagon.

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Step-by-step explanation:

I took the test on E2020.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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