Question

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Explanation:

Step4: Match congruent triangle vertices

$\triangle RQS \cong \triangle YWX$, so $\angle Q \cong \angle W$

Step5: Match congruent triangle vertices

$\triangle GFE \cong \triangle FGP$, so $\overline{GF} \cong \overline{FG}$

Step6: Match congruent triangle sides

From tick marks, $\overline{QR} \cong \overline{EG}$

Step7: Match congruent triangle angles

From tick marks, $\angle U \cong \angle S$

Step8: Use alternate exterior angles

$m\angle2 = 88^\circ$, so $x+56=88$
$x=88-56=32$

Step9: Use isosceles triangle properties

$\angle2=40^\circ$, so $8x+6=40$
$8x=34$
$x=\frac{34}{8}=4.25$

Step10: Check triangle congruence

Triangles share a side, have 2 pairs of congruent sides (SSS). Congruent by SSS.

Step11: Check triangle congruence

No matching side-angle pairs to prove congruence. Not congruent.

Answer:

1. $\angle W$
2. $\overline{FG}$
3. $\overline{EG}$
4. $\angle S$
5. $32$
6. $4.25$
7. Yes, congruent by SSS (Side-Side-Side)
8. No, cannot prove congruence with given marks