Quiz (1 point)
Given that:
M is the midpoint of line XY
∠ZMY is a right angle
Prove that:
△XMZ ≅ △YMZ
The following properties may be helpful:
- a = a
- if M is the midpoint of line AB, then distance AM = distance MB
- if distance AB = distance CD, then distance AB = distance DC
- if M is the midpoint of line AB, then m∠AMB = 180
- if ∠ABC is a right angle, then m∠ABC = 90
- if (m∠XYZ = 180) and (∠PYZ is a right angle), then m∠XYP = 90
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
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.