B
C
D
AB is parallel to CD
A
A
B
C
D
AB is parallel to CD
ABC = BCD
A
B
C
D
AB is parallel to CD
ABC = BCD
E
ABC = BCD
AEB = CED
A
B
C
D
AB is parallel to CD
ABC = BCD
E
ABC = BCD
AEB = CED
BAE = EDC
ABE is SIMILAR to CED
A
B
C
D
AB is parallel to CD
ABC = BCD
E
ABC = BCD
AEB = CED
BAE = EDC
ABE is SIMILAR to CED
X
x
A
B
C
D
AB is parallel to CD
ABC = BCD
E
ABC = BCD
AEB = CED
BAE = EDC
ABE is SIMILAR to CED
X
x
Y
y
A
B
C
D
AB is parallel to CD
ABC = BCD
E
ABC = BCD
AEB = CED
BAE = EDC
ABE is SIMILAR to CED
X
x
Y
y
Z
z
A
B
C
D
AB is parallel to CD
ABC = BCD
E
ABC = BCD
AEB = CED
BAE = EDC
X
x
Y
y
Z
z
Xx
Yy
Zz
= =
these lines are parallel
10 feet
9 feet
7 feet
3 feet
xy
10 feet
9 feet
7 feet
3 feet
xy
10 feet
9 feet
7 feet
3 feet
xy
10 feet
9 feet
7 feet
3 feet
xy
10 feet
9 feet
7 feet
3 feet
xy = 2.7
9y
10 3
=
y = 2.7 feet
10 feet
9 feet
7 feet
3 feet
x= 2.1
y = 2.7
7x
10 3
=
x = 2.1
10 feet
9 feet
7 feet
3 feet
x= 2.1
y = 2.7
these lines are parallel
these lines are parallel
these angles have equal measure
these lines are parallel
these angles have equal measure
these angles have equal measure
these lines are parallel
these angles have equal measure
these angles have equal measure
these triangles are similar
these lines are parallel
these angles have equal measure
these angles have equal measure
these triangles are similar
P
p
Q
q
R
r
Rr
Qq
Pp
= =
A
B
C
DE
BE is parallel to CD
CD = 12 feet
BE = 9 feet
AD = 20 feet
AE = ?
A
B
C
DE
BE is parallel to CD
CD = 12 feet
BE = 9 feet
AD = 20 feet
AE = 15 feet
12 9
20 x
=
x = 15