∆ADR ≅ ∆AKR(Side-Angle-Side SAS)
∆ADY ≅ ∆YOA(Side-Angle-Side)
∆JID ≅ ∆JED (Side-Side-Side)
∆QRS ≅ TUV (Angle- Side-Angle ASA)
∆NOP ≅ ∆MOL(Angle -Side-Angle ASA)
∆AST ≅ ∆ART(hypotenuse-Leg, HL).
What are conditions for congruence of triangles?
∆ADR ≅ ∆AKR
AD ≅ AK(given)
∠DAR ≅ ∠KAR(given)
AR ≅ AR(reflective property of congruence)
∆ADR ≅ ∆AKR(Side-Angle-Side SAS)
In ∆ADY and ∆YOA
DY ≅ OA(given)
∠D ≅ ∠O(given)
AY ≅ AY(reflective property of equality)
∆ADY ≅ ∆YOA(Side-Angle-Side)
In ∆JID and ∆JED
JI ≅ JE(given)
DI ≅ DE(given)
DJ ≅ DJ(reflective property of congruence)
∆JID ≅ ∆JED (Side-Side-Side)
In ∆QRS and ∆TUV
QR ≅ TU(given)
∠Q ≅ ∠T(given)
∠R ≅ ∠U(given)
∆QRS ≅ TUV (Angle- Side-Angle ASA)
In ∆NOP and MOL
NO ≅ MO(given)
∠N ≅ ∠M(given)
∠MOP ≅ ∠MOL(vertical angle theorem)
∆NOP ≅ ∆MOL(Angle -Side-Angle ASA)
∆AST and ∆ART
m∠A = m∠A = 90⁰(right angle)(given)
ST ≅ RT(given)
∆AST ≅ ∆ART(hypotenuse-Leg, HL)