To determine: Whether the triangle ABC and GHI are similar to each other. Given: Triangle ABC that is 75% of its corresponding side in triangle DEF. Triangle GHI that is 32% of its corresponding side in triangle DEF.

Question

To determine: Whether the triangle ABC and GHI are similar to each other.  Given:  Triangle ABC that is 75% of its corresponding side in triangle DEF.  Triangle GHI that is 32% of its corresponding side in triangle DEF.

Theodore Schwartz · Accepted Answer

&amp;nbsp;△ABC∼△DEF&amp;nbsp;so,&amp;nbsp;ABDE=BCEF&amp;nbsp;=ACDF&amp;nbsp;&amp;nbsp;△GHI∼△DEF&amp;nbsp;then,&amp;nbsp;GHDE=HIEF&amp;nbsp;=GIDF&amp;nbsp;If a triangle&#039;s sides are similar to one another, then its angles are likewise similar to one another.The triangles &amp;nbsp;△ABC∼△GHI&amp;nbsp;, the triangle&amp;nbsp;△DEF&amp;nbsp;by SAS similarity, is comparable in both the triangles.As a result, according to SAS similarity, the triangles ABC and GHI are similar to one another.

To determine: Whether the triangle ABC and GHI are similar to each other. Given: Triangle ABC that is 75% of its corresponding side in triangle DEF. Triangle GHI that is 32% of its corresponding side in triangle DEF.

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