can you explain how the triangles in d part be congruent

Dear student,

Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Note} \mathrm{that} \mathrm{in} △\mathrm{XOY} \mathrm{and} △\mathrm{OZW}, \mathrm{we} \mathrm{have} \\ \mathrm{side} \mathrm{XO}=\mathrm{side} \mathrm{OZ} \left(\mathrm{given}\right) \\ \mathrm{hypotenuse} \mathrm{XY}=\mathrm{hypotenuse} \mathrm{OW} \left(\mathrm{each} 12 \mathrm{units}\right) \\ \angle \mathrm{XOY}=\angle \mathrm{OZW} \left(\mathrm{each} 90°\right) \\ \mathrm{This} \mathrm{implies} \mathrm{that} \mathrm{by} \mathrm{RHS} \mathrm{congruency} \left(\mathrm{Right} \mathrm{angle}-\mathrm{Hypotenuse}-\mathrm{side}\right) \\ \mathrm{We} \mathrm{get} △\mathrm{XOY}\cong △\mathrm{OZW} \end{gathered}$$

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