MathDB

Point Reflections

Source:

January 5, 2007

geometrygeometric transformationreflectionrectanglesearch

Problem Statement

Let

u

and

v

be integers satisfying

0<v<u.

Let

A=(u,v),

let

B

be the reflection of

A

across the line

y=x,

let

C

be the reflection of

B

across the y-axis, let

D

be the reflection of

C

across the x-axis, and let

E

be the reflection of

D

across the y-axis. The area of pentagon

ABCDE

is 451. Find

u+v.

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