MathDB

2006 JHMT Geometry # 3

Source:

September 1, 2023

geometry

Problem Statement

Rectangle

ABCD

is folded in half so that the vertices

D

and

B

coincide, creating the crease

O

, with

E

on

DOC

and

F

on

\overline{BC}

. Let

O

be the midpoint of

\overline{EF}

. If triangles

DOC

and

DCF

are congruent, what is the ratio

BC : CD

?

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