Quiz (1 point)

• if m∠ABC = 180, then ∠ABX and ∠XBC are supplementary
• if ∠ABC and ∠DEF are supplementary, then (m∠ABC) + (m∠DEF) = 180
• if ∠ABC is a right angle, then m∠CBA = 90

• if the following are true:

  • a + b = c
  • a = d

  then d + b = c

• if 90 + a = 180, then a = 90

• if m∠ABC = x, then m∠CBA = x
• if m∠ABC = 90, then ∠ABC is a right angle
• if (∠ABC is a right angle) and (∠DEF is a right angle), then m∠ABC = m∠DEF
• if m∠ABC = 180, then m∠ACX = m∠BCX
• if m∠ABC = m∠XYZ, then m∠ABC = m∠ZYX
• if (m∠CAB = m∠ZXY) and (m∠ABC = m∠XYZ), then △ABC ∼ △XYZ
• if △ABC ∼ △DEF, then △BCA ∼ △EFD
• if △ABC ∼ △DEF, then △DEF ∼ △ABC

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.