Using Figure 1.13, or otherwise, show that if PR is not parallel to BC, then AP/|AB|...

 

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Using Figure 1.13, or otherwise, show that if PR is not parallel to BC, then AP\/|AB| = |AR|/|AC|. B L P A l R C Figure 1.13: Converse of the Thales theorem Conclude that if P is any point on AB and Q is any point on AC, then PQ is parallel to BC if and only if |AP|/|AB| = |AQ|/|AC|. Using Figure 1.13, or otherwise, show that if PR is not parallel to BC, then AP\/|AB| = |AR|/|AC|. B L P A l R C Figure 1.13: Converse of the Thales theorem Conclude that if P is any point on AB and Q is any point on AC, then PQ is parallel to BC if and only if |AP|/|AB| = |AQ|/|AC|.