Answered

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Is this right or wrong

Is This Right Or Wrong class=

Sagot :

Answer:

∠C and ∠F are right angles

Step-by-step explanation:

To prove that two triangles are congruent using HL, one must have:

  1. a right angle congruent,
  2. a leg congruent, and
  3. the hypotenuse (the side across from the right angle) congruent.

For this problem, there are two sides of the triangle already congruent:  one could be the hypotenuse (if the right angle were across from it), and the other congruent side could be a leg.  So, if we can prove either that angles C & F are right angles, or that angles A & D are right angles, that would be enough to use HL congruence.

Hence, from the answer choices provided, proving that angle C and angle F are both right angles would be sufficient to prove the triangles are congruent via HL congruence.

Side note:  Proving angles B and E would not be enough to use HL congruence, because the hypotenuse is always across from the right angle.  So, if angle B were a right angle, it would mean that side AC was the hypotenuse (which hadn't yet been proven or stated to be congruent).

While not enough to prove triangle congruence via HL, if angle B and E were congruent at all (right angles or not), it would be enough to prove that the triangles were congruent by SAS (side-angle-side) because it would have proven that two sides and the included angle were congruent.

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