Question

Using the figure at the left, complete the extended similarity statement:

ΔUVW ∼ Δ _______ ∼ Δ __________

Answer 1

Answer:

$\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}$

Step-by-step explanation:

The triangles UVW, UVA and UAW, since all three are right angles and have the same combination of angles, meaning the existence of proportionality between corresponding lengths. That is:

$UA \propto AV \propto UV$, $AW \propto UA \propto UW$, $UW \propto UV \propto WV$

Hence, the complete similarity statement is:

$\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}$