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∆abc and ∆fde are congruent by the . (use the three-letter abbreviation without spaces.)
the value of x and the value of y
.

∆ABC and ∆FDE are congruent by the SSS criterion

The value of x is 11 and the value of y is 8.

Step-by-step 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

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step-by-step explanation: