Grades 11-12 Video Solutions 2026-2026_11-12

Video Transcription

Video Summary

The diagram involves a square \(PQRS\) with \(X\) and \(Y\) as midpoints of sides \(QR\) and \(PS\). The two triangles \(PQY\) and \(SRX\) each have area \(\frac{1}{4}\) of the square, since their legs are \(S\) and \(\frac{S}{2}\). That leaves region \(QXSY\) as half the square. By symmetry, diagonal \(PR\) splits this remaining region into two equal parts, so the shaded area is \(\frac{1}{4}\) of the square. The correct answer is D.

Keywords

square geometry

midpoints

triangle area

symmetry

shaded region