Question

crown glass : 1: 152:: flint glass​

Answer 1

Answer:

Prove: (KL)2 = KM KN

LM

Draw

LN

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

proof using the Two-Column Proof.

Proof:

Statement

Reason

m NLK

1

(m

LN

) and

(1)

1

LN

mzLMN (m

m2NLK = m_LMN

2

(2)

(3)

ZNLK ZLMN

mzLNK = m NLM + m2LMN

m LNK = m NLM + m2NLK

mZKLM = m NLM + m2NLK

(4)

(5)

(6)

mzLNK = m KLM

(7)

ZLNK

ZKLM

(8)

A

MKL ~ALNM

(9)

KM

KL

RT.

10. Lengths of sides of similar triangles are

KN

ILK

(10)

KM KN

2