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Omni-MATH / Let ABCD be a rectangle, and let E and F be points on segment AB such that AE=EF=FB. If CE intersects the line AD at P, and PF intersects BC at Q, determine the ratio of BQ to CQ.

Problem

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problem

Let ABCDA B C D be a rectangle, and let EE and FF be points on segment ABA B such that AE=EF=FBA E=E F=F B. If CEC E intersects the line ADA D at PP, and PFP F intersects BCB C at QQ, determine the ratio of BQB Q to CQC Q.
Plain-text mathematical notation (without MathML)
Let ABCD be a rectangle, and let E and F be points on segment AB such that AE=EF=FB. If CE intersects the line AD at P, and PF intersects BC at Q, determine the ratio of BQ to CQ.
Original LaTeX notation
Let $A B C D$ be a rectangle, and let $E$ and $F$ be points on segment $A B$ such that $A E=E F=F B$. If $C E$ intersects the line $A D$ at $P$, and $P F$ intersects $B C$ at $Q$, determine the ratio of $B Q$ to $C Q$.

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Source and history

task_id
dea2d5fd-3e6a-5884-80c6-74c5a25ee613
task_key
test--dea2d5fd-3e6a-5884-80c6-74c5a25ee613
task_revision_id
1
config / split
/ test

Official source

initial import