Best solutions to - "To prove:The two triangles are similar using postulate..."

Haven

Answered question

2021-01-19

To prove:The two triangles are similar using postulate or theorem.
Given information:
The system triangles:

Bella

Skilled2021-01-20Added 81 answers

Calculation:
Consider two triangles WXV and ZXY as shown as in the textbook.

∠ W X V \tilde{=} ∠ Z X Y

They are vertically opposite angles
Compare the corresponding sides,

\frac{W X}{Z X} = \frac{10}{15} = \frac{2}{3}

Compare the corresponding sides,

\frac{V X}{Y X} = \frac{12}{18} = \frac{2}{3}

Thus,

\frac{W X}{Z X} = \frac{V X}{Y X}

\frac{2}{3} = \frac{2}{3}

According to the SAS similarity theorem:
Therefore,

△ W X V \sim △ Z X Y

Hence,

△ W X V \sim △ Z X Y

are similar with each other by the SAS similarity theorem

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