By the HL test, ABC ≅ DEF
angles and sides in similar figures that match
The HL test, also known as the Hypotenuse-Leg theorem, states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Therefore, if we are given that ABC and DEF are right triangles and that the hypotenuse AB is congruent to the hypotenuse DE, and the leg BC is congruent to the leg EF, then we can say that ABC ≅ DEF.
This means that all corresponding sides and angles of the two triangles are congruent, and we can use this information to solve problems involving the triangles, such as finding the measures of other angles or sides.
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