Learning Task 3: In Your Answer Sheet, Copy And Answer. , Given: And Are Tangent And, Secant Segments, Respectively,, Of 0298o Drawn From Exterior Point K.

Learning Task 3: In your answer sheet, copy and answer.

Given: and are tangent and

secant segments, respectively,

of ʘO drawn from exterior point K.

intersects ʘO at N.

Prove: (KL)2 = KM KN

Draw and so that we formed two similar triangles. Then show the

proof using the Two-Column Proof.


Proof:

Statement Reason

m∠NLK = (m ) and

m∠LMN = (m )


(1)


m∠NLK = m∠LMN (2)

∠NLK ∠LMN (3)

m∠LNK = m∠NLM + m∠LMN (4)

m∠LNK = m∠NLM + m∠NLK (5)

m∠KLM = m∠NLM + m∠NLK (6)

m∠LNK = m∠KLM (7)

∠LNK ∠KLM (8)

MKL LNM (9)

=


10. Lengths of sides of similar triangles are


KM KN = 2 (10)

 

Answer:

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