Answer:
∆ABC and ∆FDE are congruent by the SSS criterion
The value of x is 11 and the value of y is 8.
Explanation:
By the given diagram,
AB = FD ⇒ AB ≅ FD,
BC = ED ⇒ BC ≅ ED,
CA = EF ⇒ CA ≅ EF,
By SSS ( side-side-side ) congruence postulate,
Δ ABC ≅ Δ FDE
Now, BC = ED ⇒ x + 3 = 14 ⇒ x = 11
Also, AB = FD ⇒ 3 = x - y ⇒ 3 = 11 - y ⇒ 3 - 11 = - y ⇒ -8 = -y ⇒ y = 8