Quiz (1 point)
Prove that:
WXYZ is a rectangle
The following properties may be helpful:
- distance AB = distance BA
- if WXYZ is a parallelogram, then distance ZW = distance YX
if a = b, then b = a
- if (distance AB = distance DE) and (distance BC = distance EF) and (distance CA = distance FD), then △ABC ≅ △DEF
- if △ABC ≅ △DEF, then m∠CAB = m∠FDE
- if m∠ABC = m∠XYZ, then m∠ABC = m∠ZYX
- if ABCD is a parallelogram, then AD || BC
- if AB || CD, then BA || DC
- if WX || YZ, then ∠WXZ and ∠XZY 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 + a = 180, then a = 90
- if m∠ABC = 90, then ∠ABC is a right angle
- if (ABCD is a parallelogram) and (∠ABC is a right angle), then ABCD is a rectangle
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.