Question

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

ΔUVW ∼ Δ _______ ∼ Δ __________

Answer 1

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

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}`