Quiz (1 point)
Prove that:
The following properties may be helpful:
- a + a = a ⋅ 2
- if M is the midpoint of line AB, then distance AM = distance MB
- if M is the midpoint of line AB, then m∠AMB = 180
- if m∠ABC = 180, then (distance AB) + (distance BC) = distance AC
if the following are true:
- a + b = c
- d = b
then a + d = c
if a + a = b, then a ⋅ 2 = b
if a ⋅ 2 = b, then a = b ⋅ (1 / 2)
if the following are true:
- a = b ⋅ c
- b = d
then a = d ⋅ c
- if M is the midpoint of line AB, then distance AM = distance MB
- if M is the midpoint of line AB, then m∠AMB = 180
- if m∠ABC = 180, then (distance AB) + (distance BC) = distance AC
if the following are true:
- a + b = c
- d = b
then a + d = c
if the following are true:
- a = b
- a = c
then b = c
if a ⋅ 2 = b, then a = b ⋅ (1 / 2)
if the following are true:
- a = c
- b = c
then a = b
if a = b, then b = a
- if m∠ABC = x, then m∠CBA = x
- if m∠ABC = x, then m∠CBA = x
- if (m∠BDA = 180) and (m∠CEA = 180), then m∠BAE = m∠CAD
- if distance AB = x, then distance BA = x
- if distance AB = distance CD, then distance AB = distance DC
- 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.