Quiz (1 point)
Prove that:
WXYZ is a rectangle
The following properties may be helpful:
- if ABCD is a parallelogram, then AB || DC
- if AB || CD, then BA || DC
- if AB || CD, then CD || AB
- 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
- d = b
then a + d = c
if a + a = 180, then a = 90
- if m∠ABC = 90, then ∠ABC is a right angle
- if (ABCD is a parallelogram) and (∠CDA 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.