Quiz (1 point)
Prove that:
m∠XMS = 90
The following properties may be helpful:
- a = a
- if M is the midpoint of line AB, then distance AM = distance MB
- if distance AB = x, then distance BA = x
- if (distance AB = distance DE) and (distance BC = distance EF) and (distance CA = distance FD), then △ABC ≅ △DEF
- if △ABC ≅ △DEF, then m∠BCA = m∠EFD
- if m∠ABC = m∠XYZ, then m∠CBA = m∠XYZ
- if M is the midpoint of line AB, then m∠AMB = 180
- if m∠ABC = 180, then ∠ABX and ∠XBC are supplementary
- if ∠ABC and ∠DEF are supplementary, then (m∠ABC) + (m∠DEF) = 180
if the following are true:
- a + b = c
- d = b
then a + d = c
if a + a = 180, then a = 90
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.