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

Answer:

$\large \boxed{\mathrm{similar, \ AA \ similarity}, \ \Delta TML}$

Step-by-step explanation:

The two triangles are similar.

We can prove by angle-angle similarity, in $\mathrm{AA}$ similarity, there are two pairs of congruent corresponding angles in two triangles, this proves the two triangles are similar.

$\angle U$ and $\angle M$ are a pair of congruent corresponding angles.

$\angle V$ and $\angle L$ are a pair of congruent corresponding angles.

Therefore,

$\Delta TUV \sim \Delta TML$

Answer 2

Answer:

fourth option

Step-by-step explanation:

∠ FTC = ∠ MTL ( vertical angles )

Since FC and ML are parallel, then

∠ FCT = ∠ TML (corresponding angles )

Thus

Δ TCF ~ Δ TML by the AA postulate