taiwan-gsat 2025 Q2

taiwan-gsat · Other · ast__math-a 6 marks Vectors: Lines & Planes Prove Perpendicularity/Orthogonality of Line and Plane

In space, there is a regular cube $ABCD-EFGH$, where vertices $A, B, C, D$ lie on the same plane, and $\overline{AE}$ is one of its edges, as shown in the figure. Among the following options, select the plane that is perpendicular to both plane $BGH$ and plane $CFE$.
(1) Plane $ADH$
(2) Plane $BCD$
(3) Plane $CDG$
(4) Plane $DFG$
(5) Plane $DFH$

In space, there is a regular cube $ABCD-EFGH$, where vertices $A, B, C, D$ lie on the same plane, and $\overline{AE}$ is one of its edges, as shown in the figure. Among the following options, select the plane that is perpendicular to both plane $BGH$ and plane $CFE$.

(1) Plane $ADH$

(2) Plane $BCD$

(3) Plane $CDG$

(4) Plane $DFG$

(5) Plane $DFH$

Paper Questions

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