Answer:
Yes, the polygons are similar.
Step-by-step explanation:
A similar polygon is a polygon that shares the same scale factor as another polygon. A scale factor is a number you can multiply each side by to get a similar figure,
Step 1:
Divide a few of the sides. You do not need to divide every side to find the ratio, but do at least 2 or 3 to guarantee that the scale factor remains the same throughout the sides. Let’s divide a few pairs of sides.
[tex]27/18=1.5[/tex]
[tex]30/20=1.5[/tex]
[tex]21/14=1.5[/tex]
Step 2:
To really be safe, even though we can clearly tell this is a similar figure, is we can multiply each side on the right figure by 1.5, our scale factor, and see if we generate the sides on the left figure.
[tex]18*1.5=27[/tex]
[tex]20*1.5=30[/tex]
[tex]14*1.5=21[/tex]
And this is why the polygons are similar :)
