In trapezoid ABCD, diagonals AC and BD are drawn, which intersect at point O. Prove that the triangle
| April 26, 2021 | education
In trapezoid ABCD, diagonals AC and BD are drawn, which intersect at point O. Prove that the triangle COB is similar to the triangle AOD
Consider triangles BOC and AOD, in which the angle BOC is equal to the angle AOD as vertical angles. In the same triangles, the angle ВСО is equal to the angle ОАD as criss-crossing angles at the intersection of parallel straight lines ВС and АD.
Therefore, the triangles BOC and AOD are similar in two angles.
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