Question

given kite abcd and isosceles trapezoid wxyz, complete a two - column proof to show that △adw≅△cdz. which of the following is given from the figure? select all that apply. a. (overline{ac}paralleloverline{wz}) b. (overline{ab}paralleloverline{cd}) c. (overline{dw}congoverline{ac}) d. (overline{dw}congoverline{dz})

Explanation:

Step1: Analyze the isosceles trapezoid

In isosceles trapezoid WXYZ, the non - parallel sides are equal. Since WXYZ is an isosceles trapezoid, the legs are congruent. So, $\overline{DW}\cong\overline{DZ}$ because in an isosceles trapezoid, the distances from the non - parallel sides to the mid - point of the base (in this case, D is the mid - point of WZ) for the segments related to the non - parallel sides are equal.

Step2: Analyze the kite

There is no information in the kite ABCD that helps in directly determining the other given statements. $\overline{AC}
parallel\overline{WZ}$, $\overline{AB}
parallel\overline{CD}$ in the context of the given figure for the proof of $\triangle ADW\cong\triangle CDZ$, and there is no indication that $\overline{DW}\cong\overline{AC}$.

Answer:

D. $\overline{DW}\cong\overline{DZ}$