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

Given information:

The system triangles:

Haven
2021-01-19
Answered

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

Given information:

The system triangles:

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Bella

Answered 2021-01-20
Author has **81** answers

Calculation:

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

$\mathrm{\angle}WXV\stackrel{\sim}{=}\mathrm{\angle}ZXY$

They are vertically opposite angles

Compare the corresponding sides,$\frac{WX}{ZX}=\frac{10}{15}=\frac{2}{3}$

Compare the corresponding sides,$\frac{VX}{YX}=\frac{12}{18}=\frac{2}{3}$

Thus,

$\frac{WX}{ZX}=\frac{VX}{YX}$

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

According to the SAS similarity theorem:

Therefore,

$\mathrm{\u25b3}WXV\sim \mathrm{\u25b3}ZXY$

Hence,$\mathrm{\u25b3}WXV\sim \mathrm{\u25b3}ZXY$ are similar with each other by the SAS similarity theorem

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

They are vertically opposite angles

Compare the corresponding sides,

Compare the corresponding sides,

Thus,

According to the SAS similarity theorem:

Therefore,

Hence,

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