Quiz (1 point)
Given that:
m∠XZE = 180
M is the midpoint of line XZ
M is the midpoint of line YG
m∠YZF = 180
m∠FZG > 0
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 DC = distance AB
- if M is the midpoint of line AB, then distance AM = distance MB
- if distance AB = distance CD, then distance CD = distance BA
- if M is the midpoint of line AB, then m∠AMB = 180
- if M is the midpoint of line AB, then m∠AMB = 180
- 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∠CAB = m∠FDE
- if m∠ABC = 180, then m∠XCB = m∠XCA
- 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 m∠ACF = (m∠ACG) + (m∠GCF), then m∠FCA = (m∠FCG) + (m∠GCA)
if the following are true:
- a = b + c
- b > 0
then a > c
- if (m∠WPY = 180) and (m∠XPZ = 180), then m∠YPX = m∠WPZ
if the following are true:
- a > b
- a = c
then c > b
if the following are true:
- a = b
- a = c
then b = c
if the following are true:
- a > b
- b = c
then a > c
- if m∠ABC = 180, then m∠XAB = m∠XAC
if the following are true:
- a > b
- b = c
then a > c
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.