Questions: Is it possible to prove that the triangles are congruent? If so, state the postulate(s) or theorem(s) you would use.

Solution Steps

In question 4, we have two triangles: \( \triangle WFL \) and \( \triangle WLY \).

To prove congruence, we can use the following postulates:

• Side-Side-Side (SSS)
• Side-Angle-Side (SAS)
• Angle-Side-Angle (ASA)
• Angle-Angle-Side (AAS)
• Hypotenuse-Leg (HL) for right triangles

In \( \triangle WFL \) and \( \triangle WLY \):

• \( \overline{WL} \) is common to both triangles.
• \( \angle WLF \) and \( \angle WLY \) are vertical angles and thus congruent.
• \( \overline{FL} \) and \( \overline{LY} \) are not given as equal, so we cannot use SSS or SAS directly.

Since we do not have enough information to prove congruence using the given criteria, we cannot conclude that the triangles are congruent.

Final Answer