State if the triangles in each pair are similar if so complete the similarity statement

$\mathrm{\u25b3}ABC\sim$

Ava-May Nelson
2021-08-04
Answered

State if the triangles in each pair are similar if so complete the similarity statement

$\mathrm{\u25b3}ABC\sim$

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saiyansruleA

Answered 2021-08-05
Author has **110** answers

Step 1

establish the similarity by using the fact that sides of the two triangles are proportional and the angle at vertex A is common to both the triangles.

Step 2

In$\mathrm{\u25b3}ABC\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}\mathrm{\u25b3}AUV$

$\frac{AB}{AU}=\frac{AC}{AV}=\frac{27}{9}$

and$\mathrm{\angle}UAV\stackrel{\sim}{=}\mathrm{\angle}BAC$ (Reflexive property of congruence)

Hence by SAS criteria

$\mathrm{\u25b3}ABC\sim \mathrm{\u25b3}AUV$

establish the similarity by using the fact that sides of the two triangles are proportional and the angle at vertex A is common to both the triangles.

Step 2

In

and

Hence by SAS criteria

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