Proof: Parallel Then Aia 2

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	XW || ZY	if WX || YZ, then XW || ZY (Parallel Lines Property 2)
2	m∠XSW = 180	if m∠WSX = 180, then m∠XSW = 180 (Angle Symmetry Example 2)
3	m∠ZTY = 180	if m∠YTZ = 180, then m∠ZTY = 180 (Angle Symmetry Example 2)
4	m∠XST = m∠STY	if XW || ZY and m∠XSW = 180 and m∠ZTY = 180, then m∠XST = m∠STY (Alternate Interior Angles Theorem (Converse))

Comments

Please log in to add comments