Question

explain why the quadrilateral abcd is a kite. choose the best response. a. because the interior angles sum to 360°. b. because the diagonal bd is congruent to the diagonal ac. c. because (overline{ab}=overline{ad}) and (overline{bc}=overline{cd}). d. because (overline{ab}=overline{cd}) and (overline{bc}=overline{ad}).

Explanation:

A kite is a quadrilateral with two pairs of adjacent - sides equal. In a kite \(ABCD\), \(\overline{AB}=\overline{AD}\) and \(\overline{BC}=\overline{CD}\). The sum of interior angles of any quadrilateral is \(360^{\circ}\), so option A is incorrect. In a kite, the diagonals are not congruent, so option B is incorrect. Option D describes a parallelogram (opposite - sides equal).

Answer:

C. Because \(\overline{AB}=\overline{AD}\) and \(\overline{BC}=\overline{CD}\)