MathDB
Problems
Contests
National and Regional Contests
Saudi Arabia Contests
Saudi Arabia Pre-TST + Training Tests
2011 Saudi Arabia Pre-TST
4
4
Part of
2011 Saudi Arabia Pre-TST
Problems
(1)
fixed length of square
Source: 2011 Saudi Arabia Pre-TST January p4
12/31/2021
Points
A
,
B
,
C
,
D
A ,B ,C ,D
A
,
B
,
C
,
D
lie on a line in this order. Draw parallel lines
a
a
a
and
b
b
b
through
A
A
A
and
B
B
B
, respectively, and parallel lines
c
c
c
and
d
d
d
through
C
C
C
and
D
D
D
, respectively, such that their points of intersection are vertices of a square. Prove that the side length of this square does not depend on the length of segment
B
C
BC
BC
.
geometry
square
fixed