In the figure, $O$ is the centre of the circle $BCDE$ and $ABC$ and $AED$ are straight lines

Question

In the figure, $O$ is the centre of the circle $BCDE$ and $ABC$ and $AED$ are straight lines, prove that $AD=AC$, Given that $AB=AE$, show that $BE$ is parallel to $CD$. As shown in the diagram, $A,B,O,D$ lie on one circle, and $B,C,D,E$ lie on the circle with centre $O$.

Accepted Answer

(i) AD = AC (proved); (ii) BE is parallel to CD (proved).

Basic Geometry - Angles Formed by Two Parallel Lines and a Transversal

Basic Geometry - Angles Formed by Two Parallel Lines and a Transversal

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