To determine:Given triangles are similar or not, if not give reason.Given information:12210203021.jpg

Ramsey 2021-02-11 Answered

To determine:Given triangles are similar or not, if not give reason.
Given information:
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Expert Answer

okomgcae
Answered 2021-02-12 Author has 4352 answers
In order to find two triangles to be similar all corresponding sides must be proportional. Write ratios corresponding sides in order from least to greatest.
\(\displaystyle{m}=\frac{{{y}_{{2}}-{y}_{{1}}}}{{{x}_{{2}}-{x}_{{1}}}}\)
\(\displaystyle\frac{{{R}{S}}}{{{Y}{W}}}=\frac{{8}}{{8}}={1}\)
\(\displaystyle\frac{{{R}{T}}}{{{Y}{X}}}=\frac{{12}}{{9}}={1.33}\)
\(\displaystyle\frac{{{S}{T}}}{{{W}{X}}}=\frac{{16}}{{12}}={1.33}\)
Since all three pairs of sides are not proportional, \(\displaystyle\triangle{R}{S}{T}\ne\sim{Y}{W}{X}\) by SSS similarity.
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