The document describes a line segment FG that is 30 units long. Points H and I lie on the segment such that FH is 1/3 of FG and FI is 3/5 of FG. The question asks for the length of line segment HI.

1. April 7, 2009
Points F and G are the endpoints of a line
segment and FG = 30. Points H and I lie
3
1
on FG such that FH is of FG and FI is
5
3
of FG. What is the length of HI ?
30
(A) 4
(B) 8
3.
5 30 18
(C) 10
10
1.
(D) 18 3 30
(E) 20
G
F H I

2. Segments and Circles
1. Intersecting Chords
2. Secants with same endpoint
3. Secant and Tangent
with same endpoint

3. Intersecting Chords
S
The product of the parts F
of the chords are equal.
Z
FZ ZM = AZ ZS
A M

5. Secants with the same endpoint
J
The products of the
entire secant and the
part outside are equal.
P
VR VB = VJ VP V R
B

6. Secant and Tangent
with the same endpoint L
The same as the two secants ; however, for
the tangent, you multiply it by itself
(the outside is the entire length)
D
K W
DL DL = DK DW

7. HW: 10.6 Practice A Worksheet
#1­9, 10­18 (even)