11 x1 t13 07 products of intercepts (2012)

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Products of Intercepts

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Page 1: 11 x1 t13 07 products of intercepts (2012)

Products of Intercepts

Page 2: 11 x1 t13 07 products of intercepts (2012)

Products of Intercepts

A

B

C

D

X

Page 3: 11 x1 t13 07 products of intercepts (2012)

Products of Intercepts

DXCXBXAX

A

B

C

D

X

Page 4: 11 x1 t13 07 products of intercepts (2012)

Products of Intercepts

DXCXBXAX

chords ngintersecti of intercepts ofproduct A

B

C

D

X

Page 5: 11 x1 t13 07 products of intercepts (2012)

Products of Intercepts

DXCXBXAX

chords ngintersecti of intercepts ofproduct A

B

C

D

X

“endpoint of the chord to the point of intersection (AX) times endpoint

of the chord to the point of intersection (BX) equals endpoint of the

chord to the point of intersection (CX) times endpoint of the chord to

the point of intersection (DX)

Page 6: 11 x1 t13 07 products of intercepts (2012)

A

B

C

D

X

Page 7: 11 x1 t13 07 products of intercepts (2012)

A

B

C

D

X

Note: secants intersect outside the circle

Page 8: 11 x1 t13 07 products of intercepts (2012)

DXCXBXAX

A

B

C

D

X

Note: secants intersect outside the circle

Page 9: 11 x1 t13 07 products of intercepts (2012)

DXCXBXAX

secants ngintersecti of intercepts ofproduct A

B

C

D

X

Note: secants intersect outside the circle

Page 10: 11 x1 t13 07 products of intercepts (2012)

DXCXBXAX

secants ngintersecti of intercepts ofproduct A

B

C

D

X

Note: secants intersect outside the circle

A

C

D

X

Page 11: 11 x1 t13 07 products of intercepts (2012)

DXCXBXAX

secants ngintersecti of intercepts ofproduct A

B

C

D

X

Note: secants intersect outside the circle

DXCXAX 2

A

C

D

X

Page 12: 11 x1 t13 07 products of intercepts (2012)

DXCXBXAX

secants ngintersecti of intercepts ofproduct A

B

C

D

X

Note: secants intersect outside the circle

DXCXAX 2

intercepts ofproduct tangentsof square

A

C

D

X

Page 13: 11 x1 t13 07 products of intercepts (2012)

DXCXBXAX

secants ngintersecti of intercepts ofproduct A

B

C

D

X

Note: secants intersect outside the circle

DXCXAX 2

intercepts ofproduct tangentsof square

A

C

D

X

Exercise 9G; 1ace, 2, 4, 6, 9a