Learning Task 3: In your answer sheet, copy and answer.
KM
Given:
KL
and
are tangent and
secant segments, respectively,
of oo drawn from exterior point K.
M M
Coo
N
А
K
KM
intersects 00 at N.
In yo
Prove: (KL)2 = KM KN
Draw
LM
and
LN
so that we formed two similar triangles. Then show the
proof using the Two-Column Proof.
Proof
Statement
Reason
1. Hoc
ing
2. Hc
m_NLK
LN
(m
) and
pc
(1)
LN
mzLMN
m2NLK = M2LMN
(2)
(3)
NLK ZLMN
m LNK = m2NLM + m2LMN
m2LNK = m_NLM + m2NLK
(5)
(6)
m KLM m NLM + m2NLK
mZLNICm KLM
ZINK
KLM
(8)
AMKI
LNM
191
KM
ki, WN
10. Lengths of sides of similar triangles are
ILKI
(10)​