In the diagram, $E$, $F$, $G$ and $H$ are the midpoints of the sides of the rectangle \(ABCD

Question

In the diagram, $E$, $F$, $G$ and $H$ are the midpoints of the sides of the rectangle $ABCD$. The points $P$, $Q$, $R$ and $S$ are the midpoints of $HE$, $EF$, $FG$ and $GH$ respectively. By drawing the line segments $EG$ and $HF$, prove that $EF = EH$, $EFGH$ is a rhombus, $\angle SPQ = 90{}^\circ$, $PQRS$ is a rectangle.

Accepted Answer

(a) Proved: $EF=EH$ (b) Proved: $EFGH$ is a rhombus (c) Proved: $\angle SPQ=90^\circ$ (d) Proved: $PQRS$ is a rectangle

Pythagoras’ Theorem - Applications of Pythagoras’ Theorem

Pythagoras’ Theorem - Applications of Pythagoras’ Theorem

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