In the trapezoid, the diagonals AC and BD are drawn. Then the triangles BOC and DOA will be
| June 25, 2021 | education
In the trapezoid, the diagonals AC and BD are drawn. Then the triangles BOC and DOA will be: a) similar in two angles: b) similar in two proportional sides and an angle between them; c) are similar in three proportional sides; d: not similar
In the triangles BOC and DAO, the angle BOC = DAO as the vertical angles at the intersection of the diagonals AC and BD.
Since the bases of the trapezoid are parallel, the angle ВСО = DАО as criss-crossing angles at the intersection of parallel straight lines ВС and АD secant АС.
Then the triangles BOC and DAO are similar in two angles.
Answer: a) are similar in two corners.
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