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MathNet 2016-part-03 — 184 problems (EN–VI) Question 131

Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)

Question 131

In the cube $ABCDA'B'C'D'$, let $Q$ be the projection of $D'$ onto $A'C$ and $S$ the projection of $D'$ onto $AC'$. Show that:

a) $A'C \perp (D'QB')$;

b) $QS \parallel (ABC)$.