Fill in the blanks:
We know that angle WZX is congruent to angle YZX and that sides ZW is congruent to side ZY. The ____ property allows us to say that line segment ZX is congruent to itself. Thus by the ____ congruency theorem, ΔWZX ≅ ΔYZX. We know that Corresponding Parts of Congruent Triangles are _____ , so ∠ZXY ≅ ∠ZXW. Because they make up the straight line segment WY, the two angles are a _____
______, which means that m∠ZXY + m∠ZXW = ______
°. Because the angles are equal, we can use substitution to get 2(m∠ZXW) = 180°. Solving, we find that both angles equal 90°. This implies that line segment ZX is ______ to WY by the definition of perpendicular. Finally, using CPCTC again we know that WX ≅ YX. Therefore, X is the _____ of WY, and ZX is the _____ of WY.
