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Omni-MATH / Let ABCD and WXYZ be two squares that share the same center such that WX‖AB and WX<AB. Lines CX and AB intersect at P, and lines CZ and AD intersect at Q. If points P,W, and Q are …

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problem

Let ABCDA B C D and WXYZW X Y Z be two squares that share the same center such that WX‖ABW X \| A B and WX<ABW X<A B. Lines CXC X and ABA B intersect at PP, and lines CZC Z and ADA D intersect at QQ. If points P,WP, W, and QQ are collinear, compute the ratio AB/WXA B / W X.
Plain-text mathematical notation (without MathML)
Let ABCD and WXYZ be two squares that share the same center such that WX‖AB and WX<AB. Lines CX and AB intersect at P, and lines CZ and AD intersect at Q. If points P,W, and Q are collinear, compute the ratio AB/WX.
Original LaTeX notation
Let $A B C D$ and $W X Y Z$ be two squares that share the same center such that $W X \| A B$ and $W X<A B$. Lines $C X$ and $A B$ intersect at $P$, and lines $C Z$ and $A D$ intersect at $Q$. If points $P, W$, and $Q$ are collinear, compute the ratio $A B / W X$.

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Source and history

task_id
769c19e8-7965-5a85-b8be-75387b271154
task_key
test--769c19e8-7965-5a85-b8be-75387b271154
task_revision_id
1
config / split
/ test

Official source

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