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Given: ∆ABC ≅ ∆DEF
Find: AB, m∠F

Answer:
AB = 6 and
m<F = 50°
Step-by-step explanation:
If the triangles are similar
ABC ≅ DEF
That means AB ≅ DE
BC ≅ EF
and CA ≅ FD
We want to find AB so it is equal to DE
AB = DE = 6
We also know the angles are equal
A = D
B = E
C = F
Angle F = angle C = 50
Answer:
Given: ∆ABC ≅ ∆DEF
Using the rule CPCTC: (Congruent Parts of Congruent Triangles are Congruent) ∴ AB ≅ ED ; m∠F ≅ m∠C.
ED = 6 ≅ AB ∴ AB also = 6.
m∠F ≅ m∠C = 50° ∴ m∠F = 50°
Answer: AB = 6 ; m∠F = 50°
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