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, 2006

Geometry Difficulty 3.0 AMC 10/12 Prove it Canada

Point $X$ is the midpoint of $AD$ and point $Y$ is the midpoint of $BC$ . When $X$ and $Y$ are joined, the trapezoid is divided into two smaller trapezoids. What is the ratio of the area of trapezoid $ABYX$ to the area of trapezoid $XYCD$ ? Explain how you got your answer.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.