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2009 CEMC Pascal Problems/Problem 7

Revision as of 11:28, 7 September 2025 by Anabel.disher (talk | contribs) (Created page with "==Problem== In the diagram, <math>\triangle PQR</math> is right-angled at <math>Q</math>, <math>PQ</math> is horizontal and <math>QR</math> is vertical. What are the coordinat...")
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Problem

In the diagram, $\triangle PQR$ is right-angled at $Q$, $PQ$ is horizontal and $QR$ is vertical. What are the coordinates of $Q$?

An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.

$\text{ (A) }\ (5, 2) \qquad\text{ (B) }\ (5, 0) \qquad\text{ (C) }\ (5, 1) \qquad\text{ (D) }\ (4, 1) \qquad\text{ (E) }\ (1, 5)$

Solution

Since $PQ$ is horizontal and $QR$ is vertical, point $Q$ must have the same y-coordinate as point $P$ and the same x-coordinate as point $R$.

This works out to $\boxed {\textbf {(C) } (5, 1)}$.

~anabel.disher

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