example 1 use the sss congruence postulate write a proof. given kl nl, km nm proof it is given that...

EXAMPLE 1 Use the SSS Congruence Postulate Write a proof. GIVEN KL NL, KM NM ProofIt is given that KL NL and KM NM By the Reflexive Property, LM LN. So, by the SSS Congruence Postulate, KLM NLM PROVE KLM NLM

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EXAMPLE 1 Use the SSS Congruence Postulate

Write a proof.

GIVEN KL NL, KM NM

Proof It is given that KL NL and KM NM

By the Reflexive Property, LM LN.

So, by the SSS Congruence Postulate, KLM NLM

PROVE KLM NLM

Page 2: EXAMPLE 1 Use the SSS Congruence Postulate Write a proof. GIVEN KL NL, KM NM Proof It is given that KL NL and KM NM By the Reflexive Property, LM LN. So,

Three sides of one triangle are congruent to three sides of second triangle then the two triangle are congruent.

GUIDED PRACTICE for Example 1

Decide whether the congruence statement is true. Explain your reasoning.

SOLUTION

Yes. The statement is true.

1. DFG HJK

Side DG HK, Side DF JH,and Side FG JK.

So by the SSS Congruence postulate, DFG HJK.

Page 3: EXAMPLE 1 Use the SSS Congruence Postulate Write a proof. GIVEN KL NL, KM NM Proof It is given that KL NL and KM NM By the Reflexive Property, LM LN. So,

GUIDED PRACTICE for Example 1

Decide whether the congruence statement is true. Explain your reasoning.

SOLUTION

2. ACB CAD

BC ADGIVEN :

PROVE : ACB CAD

PROOF: It is given that BC AD By Reflexive propertyAC AC, But AB is not congruent CD.

Page 4: EXAMPLE 1 Use the SSS Congruence Postulate Write a proof. GIVEN KL NL, KM NM Proof It is given that KL NL and KM NM By the Reflexive Property, LM LN. So,

GUIDED PRACTICE for Example 1

Therefore the given statement is false and ABC is not Congruent to CAD because corresponding sides are not congruent

Page 5: EXAMPLE 1 Use the SSS Congruence Postulate Write a proof. GIVEN KL NL, KM NM Proof It is given that KL NL and KM NM By the Reflexive Property, LM LN. So,

GUIDED PRACTICE for Example 1

Decide whether the congruence statement is true. Explain your reasoning.

SOLUTION

QT TR , PQ SR, PT TSGIVEN :

PROVE : QPT RST

PROOF: It is given that QT TR, PQ SR, PT TS. So bySSS congruence postulate, QPT RST. Yes the statement is true

QPT RST 3.

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