Question

step 1: statement: $overline{ac} perp overline{bd}$, $overline{bd}$ bisects $overline{ac}$; reason: given. step 2: statement: $overline{ad} cong overline{cd}$; reason: a segment bisector divides a segment into two congruent segments. step 3: statement: $overline{bd} cong overline{bd}$; reason: reflexive property. (there is a triangle diagram with vertices a, b, c, and d on ac, bd perpendicular to ac and bisecting it.)

Explanation:

Answer:

$\angle ADB=\angle CDB = 90^{\circ}$ (Definition of perpendicular lines), $\triangle ABD\cong\triangle CBD$ (SAS Congruence Theorem)