Question

Are these polygons similar ? Explain why or why not.

Answer 1

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.

$27/18=1.5$

$30/20=1.5$

$21/14=1.5$

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.

$18*1.5=27$

$20*1.5=30$

$14*1.5=21$

And this is why the polygons are similar :)