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As we look at both triangles, we can see that they have a few things in common.

Each triangle shares a right angle, one leg, and an acute angle.

LL = leg and leg

HA = hypotenuse and angle

HL = hypotenuse and leg

LA = leg and angle

The triangles do not share two legs, nor do they share a hypotenuse.

Therefore,

LA is the only choice that makes sense.

For these two right triangle, LA(Leg and angle) verifies that ΔDEF ≅ ΔSTU.

What is the condition of congruence of two right triangles?

If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent.

In these two given right triangles, ∠D = ∠S and ∠F = ∠U.

Therefore, the third angle of each triangle are equal as per the third angle theorem.

The leg of each triangle is equal as mentioned.

Therefore, LA(Leg and angle) verifies that ΔDEF ≅ ΔSTU.

Learn more about a right triangle here: https://brainly.com/question/22909605

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