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Novosibirsk Oral Olympiad in Geometry
2016 Novosibirsk Oral Olympiad in Geometry
4
4
Part of
2016 Novosibirsk Oral Olympiad in Geometry
Problems
(1)
midpoint wanted, 2 squares (2016 Novosibirsk Oral Geo Oly 8-9 p4)
Source:
4/26/2021
The two angles of the squares are adjacent, and the extension of the diagonals of one square intersect the diagonal of another square at point
O
O
O
(see figure). Prove that
O
O
O
is the midpoint of
A
B
AB
A
B
. https://cdn.artofproblemsolving.com/attachments/7/8/8daaaa55c38e15c4a8ac7492c38707f05475cc.png
geometry
Squares
midpoint