Question

In trapezoid ABCD with parallel sides AD and BC, and with diagonals intersecting at point O, which of the following statements is true?

A) AO/CO=DO/BO
B) AO/CO=BO/DO
C) BO/DO=AO/CO
D) CO/AO=DO/BO

Answer 1

The correct statement is C) BO/DO=AO/CO.

Step-by-step explanation:

The correct statement is C) BO/DO=AO/CO.

In trapezoid ABCD with parallel sides AD and BC, and with diagonals intersecting at point O, we can use the similar triangles ABO and CDO to find the relationship between the sides.

Since ABO and CDO are similar triangles, the ratios of their corresponding sides are equal. Therefore, we have BO/DO=AO/CO.

Thus, the correct statement is C) BO/DO=AO/CO.