Answered

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Are these polygons similar ? Explain why or why not.

Are These Polygons Similar Explain Why Or Why Not class=

Sagot :

arrowfighter333

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 :)

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