MathDB
Problems
Contests
National and Regional Contests
South Africa Contests
South Africa National Olympiad
2009 South africa National Olympiad
2
2
Part of
2009 South africa National Olympiad
Problems
(1)
Ratios in a rectangle
Source: South African MO 2009 Q2
5/26/2012
Let
A
B
C
D
ABCD
A
BC
D
be a rectangle and
E
E
E
the reflection of
A
A
A
with respect to the diagonal
B
D
BD
B
D
. If
E
B
=
E
C
EB = EC
EB
=
EC
, what is the ratio
A
D
A
B
\frac{AD}{AB}
A
B
A
D
?
ratio
geometry
rectangle
geometric transformation
reflection
trapezoid
geometry unsolved