In the diagram, $EFG$ is a straight line. The points $E$, $F$ and $G$ are the midpoints of \

Question

In the diagram, $EFG$ is a straight line. The points $E$, $F$ and $G$ are the midpoints of $AD$, $AC$ and $BC$ respectively. Prove that $EG = \frac{1}{2}(AB + DC)$, $\angle CAB = \angle ACD$.

Accepted Answer

(a) Proved: $EG=\frac12(AB+DC)$ (b) Proved: $\angle CAB=\angle ACD$

Proofs in Plane Geometry - Midpoint Theorem

Proofs in Plane Geometry - Midpoint Theorem

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