What additional information will allow you to prove the triangles congruent by the HL Theorem?Triangles A B C and D E C are shown with a common vertex at C at the intersection of A E and B D. Side A B is congruent to side D E. Angles A C B and D C E are right angles.
(1 point)
In order to prove the triangles congruent by the HL (Hypotenuse-Leg) Theorem, we need to show that the hypotenuse of one triangle is congruent to the hypotenuse of the other triangle, and that one pair of legs (or sides) is congruent to the other pair of legs (or sides).
To do this, we would need to know the following information:
1) The lengths of side AC and side DC.
2) The measures of angles ACB and DCE.
3) Any additional information about the relationship between the sides and angles of the two triangles.
Without this additional information, we cannot prove the triangles congruent by the HL Theorem.