the hl theorem proves these triangles are congruent. false true

Answer:

False

Brief Explanations:

The HL (Hypotenuse - Leg) theorem is used to prove the congruence of right - angled triangles, where we compare the hypotenuse and one leg of the right - triangles. In the given diagram, the markings suggest that we have two triangles with two pairs of equal sides (the marked sides) and a common side (the diagonal). This situation is more likely to be proven congruent by the SSS (Side - Side - Side) or SAS (Side - Angle - Side) congruence criteria for triangles (since the triangles here don't seem to be right - angled, or if they were, HL wouldn't be the appropriate criterion here as we have more than just hypotenuse and leg equal). So the statement that the HL theorem proves these triangles are congruent is false.