2) ∠W ≅ ∠E WX ≅ EF
∠X ≅ ∠F XY ≅ FG
∠Y ≅ ∠G WY ≅ EG
3) a) KM ≅ AC e) ∠K ≅ ∠A
b) CY ≅ RM f) ∠ACY ≅ ∠KMR
c) PK ≅ YA g) ∆ MPK ≅ ∆CYA
d) ∠Y ≅ ∠R h) ∆ YAC ≅ ∆RKM
4) a) BN = 9 cm
b) TW = 14 cm
c) BF = 17 cm
d) m∠W = 82⁰
e) m∠B = 67⁰
f) m ∠F = 31⁰
How the congruent sides and angles are deduced.
2)If ∆WXY ≅ ∆EFG
∠W ≅ ∠E WX ≅ EF
∠X ≅ ∠F XY ≅ FG
∠Y ≅ ∠G WY ≅ EG
3) Given that
∆KPM ≅ AYC
a) KM ≅ AC e) ∠K ≅ ∠A
b) CY ≅ RM f) ∠ACY ≅ ∠KMR
c) PK ≅ YA g) ∆ MPK ≅ ∆CYA
d) ∠Y ≅ ∠R h) ∆ YAC ≅ ∆RKM
4) Given ∆STW ≅ ∆BFN
a) BN = SW = 9 cm
b) TW = FN = 14 cm
c) BF = ST = 17 cm
d) m∠W = m∠N = 82⁰
e) m∠B = m∠S = 67⁰
f) m ∠F
∠F + ∠N + ∠B = 180⁰( sum of angles in a triangle)
∠F + 82 + 67 = 180
∠F + 149 = 180
∠F = 180 - 149
∠F = 31⁰
Therefore, measure of ∠F is 31⁰.