Question

Math geometry help please show work thanks

Answer 1

Answer: Tony is correct

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Explanation:

There are number of ways to go about this, but let's pick on the sides marked in the diagram below (circled in red and blue). I picked on those sides specifically because they are on either side of the marked angles (A and Q).

They help form the proportion below, in which we'll show later on its a false statement.

AE/PQ = AB/QR

24/(14.5) = 18/(11.5)

24*11.5 = 14.5*18

270 = 261

We arrive at a false statement at the end, so the original proportion is false. Furthermore, it means the figures are not similar.

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We could try the other way around and try to see if

AE/QR = AB/PQ

is true or not

Let's find out

24/(11.5) = 18/(14.5)

24*14.5 = 11.5*18

348 = 207

We see this is false as well. The gap is even bigger than before, so the first scenario was slightly close to having similar polygons. But neither case works perfectly. So that's why we don't have similar polygons and why Tony is correct. It's not enough to look at the angles only when dealing with polygons that have more than 3 sides. If we were just focused on triangles, then Jacenta would be correct.