Quiz (1 point)
Given that:
SM ⊥ MY
M is the midpoint of line XY
Prove that:
The following properties may be helpful:
- a = a
- if M is the midpoint of line AB, then m∠AMB = 180
- if AB ⊥ BC, then ∠ABC is a right angle
- if ∠ABC is a right angle, then m∠ABC = 90
- 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
- b = d
then a + d = c
if a + 90 = 180, then a = 90
if the following are true:
- a = c
- b = c
then a = b
- if m∠ABC = m∠XYZ, then m∠XYZ = m∠CBA
- if M is the midpoint of line AB, then distance AM = distance MB
- 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 CA = distance FD
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.