A line is drawn through vertex C of parallelogram ABCD, which intersects side AD at point F
| April 18, 2021 | education
A line is drawn through vertex C of parallelogram ABCD, which intersects side AD at point F, and line AB – at point O. Prove that triangle FDC is similar to triangle FAO
In triangles FAO and FDC, the angles OFA and CFD are equal as the vertical angles formed by the intersection of straight lines AD and OC.
The angle OAF and FDС are equal as the crosswise angles formed by the intersection of the secant АD of the parallel straight lines ОВ and СD.
Then the triangles FAO and FDC are similar in two angles, as required.
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