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8. true or false, the following two triangles are congruent by hl. fals…

Question

  1. true or false, the following two triangles are congruent by hl. false true

Explanation:

Step1: Recall the HL Congruence Theorem

The Hypotenuse - Leg (HL) Congruence Theorem states that if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the two right triangles are congruent.

Step2: Identify hypotenuse and leg in the given triangles

In right - triangle \(ABC\) and right - triangle \(FDE\):

  • The hypotenuse \(AC\) is congruent to the hypotenuse \(FE\) (marked with one tick).
  • The leg \(BC\) is congruent to the leg \(DE\) (marked with two ticks).

Answer:

true