TAEKOOKNAMJINGO
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Learning Task 3: In your answer sheet, copy and answer.
KL
KM
Given: and
are tangent and
secant segments, respectively,
of oo drawn from exterior point K.
Coordinates
K
N
KM
intersects OO at N.
Prove: (KL)2 = KM
KN
LM LN
Draw and
so that we formed two similar triangles. Then show the
proof using the Two-Column Proof.
Proof:
Statement
Reason
m NLK
LN
(m
) and
(1)
LN
mZLMN
mZNLK = m_LMN
(2)
(3)
NLK LLMN
m LNK = m NLM + m2LMN
m LNK = m.NLM + m2NLK
mZKLM m NLM + m2NLK
(5)
(6)
m LNK
m KLM
(7)
(8)
LLNK LKLM
AMKL ~ALNM
(9)
KM
KL
10. Lengths of sides of similar triangles are
KT
KN
İLKI 2
(10)
KM
KN​

Learning Task 3 In Your Answer Sheet Copy And AnswerKLKMGiven Andare Tangent Andsecant Segments Respectivelyof Oo Drawn From Exterior Point KCoordinatesKNKMinte class=

Sagot :

NEILSAIROPACANAGO

Answer:

REASON

1.the measure of an inscribe angle is one half the measure of its intercepted arc.

2.Transitive property

3.Angles with equal measurement are congruent

4.The measure of exterior angle of a triangle is equal to the sum of the measure of its remote interior angles.

5.Substitution

6.angle addition postulate

7.transitive

8. Angles with equal measurement are congient

9. Similarity theorem

10.lengths of sides of similar triangels are

10. Multiplication property

Step-by-step

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