Proof: Midpoint Right Angle

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	distance XM = distance MY	if M is the midpoint of line XY, then distance XM = distance MY (Midpoint Property)
2	distance XM = distance YM	if distance XM = distance MY, then distance XM = distance YM (Distance Property 2)
3	m∠XMY = 180	if M is the midpoint of line XY, then m∠XMY = 180 (Angle Formed by Midpoint)
4	m∠ZMY = 90	if ∠ZMY is a right angle, then m∠ZMY = 90 (Right Angle Property)
5	m∠XMZ = 90	if m∠XMY = 180 and ∠ZMY is a right angle, then m∠XMZ = 90 (Supplementary Angles 2)
6	m∠XMZ = m∠ZMY	if m∠XMZ = 90 and m∠ZMY = 90, then m∠XMZ = m∠ZMY (Transitive Property of Equality Variation 1)
7	m∠XMZ = m∠YMZ	if m∠XMZ = m∠ZMY, then m∠XMZ = m∠YMZ (Angle Symmetry Example)
8	distance MZ = distance MZ	distance MZ = distance MZ (Reflexive Property of Equality)
9	△XMZ ≅ △YMZ	if distance XM = distance YM and m∠XMZ = m∠YMZ and distance MZ = distance MZ, then △XMZ ≅ △YMZ (SAS Property)

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