Similar polygons are _____ the same size.
always
sometimes**
never
I'm having a brain fart. ahh! please help!
correct...on the sometimes.
Oh okay thanks! Sorry that was such a dumb question lol my brain was not working.
correct
the brain kinda just quits sometimes, if u know what i mean. lol ------|
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No worries! I'm here to help. When dealing with similar polygons, it means that they have the same shape, but not necessarily the same size. So, when asked if similar polygons are always, sometimes, or never the same size, the correct answer is sometimes.
To understand why, let's break it down:
Similar polygons have proportional corresponding sides and equal corresponding angles. This means that if you have two similar polygons, you can change the size of one of them through dilation (expansion or contraction) while keeping the same shape. As a result, the size of similar polygons can be different.
However, "sometimes" does not mean that all similar polygons are different in size. In certain cases, similar polygons can be the same size. This occurs when the original polygon is already congruent to its corresponding polygon. In other words, when the scale factor (ratio of corresponding side lengths) is 1, the polygons are not only similar but also the same size.
So, remember that similar polygons may or may not have the same size, making the correct answer "sometimes."