Quiz (1 point)
Prove that:
WXYZ is a parallelogram
The following properties may be helpful:
- if (m∠XPW = 180) and (m∠YPZ = 180), then m∠XPY = m∠WPZ
- if distance AB = distance CD, then distance AB = distance DC
- if distance AB = x, then distance BA = x
- if (distance AB = distance DE) and (m∠ABC = m∠DEF) and (distance BC = distance EF), then △ABC ≅ △DEF
- if △ABC ≅ △DEF, then distance AC = distance DF
- if △ABC ≅ △DEF, then m∠CAB = m∠FDE
- if m∠ABC = m∠XYZ, then m∠XYZ = m∠CBA
- if m∠ABC = 180, then m∠XCB = m∠XCA
if the following are true:
- a = b
- a = c
then b = c
- if m∠ABC = 180, then m∠BAX = m∠CAX
if the following are true:
- a = b
- b = c
then a = c
- if m∠WST = m∠STZ, then WS || TZ
- if AB || CD, then CD || AB
- if (WX || ZY) and (distance WX = distance YZ), then WXYZ is a parallelogram
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.