Quiz (1 point)
Prove that:
The following properties may be helpful:
- if M is the midpoint of line AB, then distance AM = distance MB
- if distance AB = distance CD, then distance AB = distance DC
- if M is the midpoint of line AB, then distance AM = distance MB
- if distance AB = x, then distance BA = x
- if M is the midpoint of line AB, then m∠AMB = 180
- if m∠ABC = x, then m∠CBA = x
- if M is the midpoint of line AB, then m∠AMB = 180
- if m∠ABC = x, then m∠CBA = x
- if (m∠XPW = 180) and (m∠YPZ = 180), then m∠WPZ = m∠XPY
- if (distance AB = distance DE) and (m∠ABC = m∠DEF) and (distance BC = distance EF), then △ABC ≅ △DEF
- if △ABC ≅ △DEF, then m∠BCA = m∠EFD
if a = b, then b = a
- if M is the midpoint of line AB, then point M is in segment AB
- if (point M is in segment BC) and (m∠AME = 180) and (m∠ACD = 180), then point E lies in interior of ∠BCD
- if point X lies in interior of ∠ABC, then m∠ABC = (m∠ABX) + (m∠XBC)
if the following are true:
- a = b + c
- c > 0
then a > b
- if m∠ABC = 180, then m∠CAX = m∠BAX
if the following are true:
- a = b
- b = c
then a = c
- if m∠ABC = 180, then m∠BCX = m∠ACX
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a > b
- b = c
then a > c
if a > b, then b < a
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.