Quiz (1 point)
Prove that:
The following properties may be helpful:
- if distance AX = distance BX, then m∠BAX = m∠ABX
- if m∠ABC = m∠XYZ, then m∠XYZ = m∠CBA
- if m∠ABC = 180, then ∠ABX and ∠XBC are supplementary
- if ∠ABC and ∠DEF are supplementary, then (m∠ABC) + (m∠DEF) = 180
if a + b = c, then a = c + (b ⋅ (-1))
- 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
- a = d
then d + b = c
if a + b = c, then b = c + (a ⋅ (-1))
if the following are true:
- a = c
- b = c
then a = b
- if m∠ABC = m∠XYZ, then m∠ABC = m∠ZYX
- 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.