Proof: Rectangle Diagonals Congruent

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	WXYZ is a parallelogram	if WXYZ is a rectangle, then WXYZ is a parallelogram (Rectangle Property)
2	distance WZ = distance XY	if WXYZ is a parallelogram, then distance WZ = distance XY (If Parallelogram Then Sides Congruent)
3	distance XY = distance WZ	if distance WZ = distance XY, then distance XY = distance WZ (Symmetric Property of Equality)
4	∠ZWX is a right angle	if WXYZ is a rectangle, then ∠ZWX is a right angle (Rectangle Right Angles)
5	∠WXY is a right angle	if WXYZ is a rectangle, then ∠WXY is a right angle (Rectangle Property)
6	m∠ZWX = 90	if ∠ZWX is a right angle, then m∠ZWX = 90 (Right Angle Property)
7	m∠WXY = 90	if ∠WXY is a right angle, then m∠WXY = 90 (Right Angle Property)
8	m∠ZWX = m∠WXY	if m∠ZWX = 90 and m∠WXY = 90, then m∠ZWX = m∠WXY (Transitive Property of Equality Variation 1)
9	m∠WXY = m∠XWZ	if m∠ZWX = m∠WXY, then m∠WXY = m∠XWZ (Angle Symmetry 4)
10	distance WX = distance XW	distance WX = distance XW (Distance Equality Property)
11	△WXY ≅ △XWZ	if distance WX = distance XW and m∠WXY = m∠XWZ and distance XY = distance WZ, then △WXY ≅ △XWZ (SAS Property)
12	distance WY = distance XZ	if △WXY ≅ △XWZ, then distance WY = distance XZ (Congruent Triangles to Distance 3)

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