michaelrosasag michaelrosasag
  • 16-01-2019
  • Mathematics
contestada

Are the polygons below similar? If they are, write a statement and give the scale factor.

Are the polygons below similar If they are write a statement and give the scale factor class=

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MrsStrong
MrsStrong MrsStrong
  • 17-01-2019

Answer:

Yes they are similar. Triangle ABC is similar to Triangle FED. The scale factor from large to small is 3/4 or small to large is 4/3.

Step-by-step explanation:

To determine if two triangles are similar, their corresponding sides create equal ratios.

[tex]\frac{AB}{FE} = \frac{BC}{ED}= \frac{CA}{FD}   \\\\\frac{15}{20} =\frac{12}{16} =\frac{18}{24} \\\\ \frac{3}{4} =\frac{3}{4} =\frac{3}{4}[/tex]

This ratio is the scale factor depending on which is the pre-image. 3/4 or 4/3.

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