Question

is △abc ≅ △def? explain.
a
b
c
d
e
f
the triangles
congruent by
aas
no
hl
asa
are
are not
sas
yes

Explanation:

Step1: Check the congruence of right - angled triangles

For right - angled triangles, we can use the Hypotenuse - Leg (HL) criterion. In \(\triangle ABC\) and \(\triangle DEF\), we need to check the hypotenuse and one leg.
Let's assume the hypotenuse and a leg of the right - angled triangles. If the hypotenuse and a leg of one right - angled triangle are equal to the hypotenuse and a leg of another right - angled triangle, then the two right - angled triangles are congruent.
In \(\triangle ABC\) and \(\triangle DEF\), we can observe that the hypotenuse and a leg (based on the markings in the triangles) satisfy the HL condition.

Answer:

Yes, \(\triangle ABC\cong\triangle DEF\) by \(HL\) (Hypotenuse - Leg)