Quiz (1 point)

• distance AB = distance BA

• if the following are true:

  • a = 90
  • b = 90

  then a + b = 180

• if (m∠ABC) + (m∠DEF) = 180, then ∠ABC and ∠DEF are supplementary
• if ∠WST and ∠YTS are supplementary, then WS || YT
• if quadrilateral ABCD is a trapezoid, then AB || DC
• if (AB || CD) and (m∠AXY = 180) and (m∠XYB = 180), then XY || CD
• if AB || CD, then CD || AB
• if (AB || CD) and (AC || BD), then ABDC is a parallelogram
• if WXYZ is a parallelogram, then distance WX = distance ZY
• if distance AB = distance CD, then distance BA = distance DC
• if m∠ABC = 180, then m∠XAB = m∠XAC
• if (m∠DXY = 90) and (m∠DXY = m∠DXB), then m∠BXD = 90
• if m∠ABC = 90, then ∠ABC is a right angle
• if m∠ABC = 180, then m∠XCB = m∠XCA
• if (m∠DXY = 90) and (m∠DXY = m∠DXB), then m∠BXD = 90
• if m∠ABC = 90, then ∠ABC is a right angle

• if a = b, then b = a

• if (∠ABC is a right angle) and (∠XYZ is a right angle) and (distance AC = distance XZ) and (distance BC = distance YZ), then △ABC ≅ △XYZ
• if △ABC ≅ △DEF, then m∠CAB = m∠FDE
• if (m∠ABC = 180) and (m∠BCD = 180), then m∠ABD = 180
• if (m∠ABC = 180) and (m∠BCD = 180), then m∠ACD = 180
• if (m∠DBX = m∠CAY) and (m∠AXB = 180) and (m∠AYB = 180), then m∠DBA = m∠CAB
• if △ABC ≅ △DEF, then distance CA = distance FD
• 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

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.