# State if the triangles \triangle ABC\sim in each pair are similar if so complete the similarity statement

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

$\mathrm{△}ABC\sim$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

saiyansruleA
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
$\frac{AB}{AU}=\frac{AC}{AV}=\frac{27}{9}$
and $\mathrm{\angle }UAV\stackrel{\sim }{=}\mathrm{\angle }BAC$ (Reflexive property of congruence)
Hence by SAS criteria
$\mathrm{△}ABC\sim \mathrm{△}AUV$