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Are the triangles congruent or not congruent?

Are the triangles congruent or not congruent?-example-1

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∆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)

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