Question

State if the triangles in each pair are similar. If so, state how you know they are similar

And complete the similarity statement.

Answer 1

`\triangle LKJ \sim \triangle LHG`

Explanation:

Let suppose that JK and GH are parallel to each other and the length of JK is a multiple of the length of GH (
`JK = m\cdot GH`), then we know that
`\angle H \cong \angle J` and
`\angle G \cong \angle K` by alternate internal angles and
`\angle L_(1) \cong \angle L_(2)` by opposite angles, then
`KL = m\cdot GL` and
`HL = m\cdot JL`. Lastly, we conclude that
`\triangle LKJ \sim \triangle LHG`