Chapter 4.1, Problem 1PSA

To determine

To prove $\mathrm{\Delta }\mathrm{X}\mathrm{A}\mathrm{Y}\cong \mathrm{\Delta }\mathrm{Z}\mathrm{A}\mathrm{Y}$ and fill the missing statements and reasons.

Explanation of Solution

Given information:

  

To prove $\mathrm{\Delta }\mathrm{X}\mathrm{A}\mathrm{Y}\cong \mathrm{\Delta }\mathrm{Z}\mathrm{A}\mathrm{Y}$ the missing statements are,

  $\begin{array}{l}\left(3\right)\overline{\mathrm{W}\mathrm{Y}}\cong \overline{\mathrm{W}\mathrm{Y}}\\ \left(4\right)\overline{\mathrm{A}\mathrm{Y}}\cong \overline{\mathrm{A}\mathrm{Y}}\end{array}$

Similarly, the given reasons for the given statements are,

  $\begin{array}{c}\left(4\right)\mathrm{B}\mathrm{y}\mathrm{S}\mathrm{S}\mathrm{S}\mathrm{R}\mathrm{u}\mathrm{l}\mathrm{e}\\ \left(5\right)\mathrm{B}\mathrm{y}\text{}\mathrm{C}\mathrm{P}\mathrm{C}\mathrm{T}\\ \left(7\right)\mathrm{B}\mathrm{y}\mathrm{S}\mathrm{A}\mathrm{S}\mathrm{R}\mathrm{u}\mathrm{l}\mathrm{e}\end{array}$

Therefore, the missing blanks are given above.