Question

Identify a similarity statement for the two triangles.

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ANSWERED
asked 2021-08-04
Identify a similarity statement for the two triangles.
image
1.The triangles are not similar
2.\(\displaystyle\triangle{T}{R}{S}\sim\triangle{L}{J}{K}\)
3.\(\displaystyle\triangle{R}{S}{T}\sim\triangle{J}{K}{L}\)
4.\(\displaystyle\triangle{S}{R}{T}\sim\triangle{K}{L}{J}\)
5.\(\displaystyle\triangle{T}{S}{R}\sim\triangle{L}{J}{K}\)

Answers (1)

2021-08-05

Step 1
we will check whether two traingle satisfy SAS criterion of similiarity
Step 2
Now
\(\displaystyle{\frac{{{R}{T}}}{{{J}{L}}}}={\frac{{{18}}}{{{24}}}}={\frac{{{3}}}{{{4}}}}\)
and
\(\displaystyle{\frac{{{S}{T}}}{{{K}{L}}}}={\frac{{{8}}}{{{10}}}}={\frac{{{4}}}{{{5}}}}\)
\(\displaystyle\Rightarrow{\frac{{{R}{T}}}{{{J}{L}}}}\ne{\frac{{{S}{T}}}{{{K}{L}}}}\)
\(\displaystyle\Rightarrow\) it does not satisfy SAS criterion
\(\displaystyle\Rightarrow\) These two triangle are not similiar.

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