Quiz (1 point)
Prove that:
WXYZ is a parallelogram
The following properties may be helpful:
- m∠ABC = m∠CBA
- if (m∠ABC = m∠CDA) and (m∠BCD = m∠DAB), then quadrilateral ABCD is convex
- if quadrilateral WXYZ is convex, then (((m∠WXY) + (m∠XYZ)) + (m∠YZW)) + (m∠ZWX) = 360
if the following are true:
- a + b = c
- d = b
then a + d = c
if a = b, then c + b = c + a
if a = b, then a + c = b + c
if the following are true:
- a = b
- a = c
then b = c
if ((a + b) + a) + b = 360, then a + b = 180
- if x + (m∠ABC) = y, then x + (m∠CBA) = y
- if (m∠ABC) + (m∠DEF) = 180, then ∠ABC and ∠DEF are supplementary
- if ∠WST and ∠YTS are supplementary, then WS || YT
if the following are true:
- a + b = c
- b = d
then a + d = c
if a + b = c, then b + a = c
if the following are true:
- a + b = c
- b = d
then a + d = c
- if (m∠ABC) + (m∠DEF) = 180, then ∠ABC and ∠DEF are supplementary
- if ∠WST and ∠YTS are supplementary, then WS || YT
- if AB || CD, then BA || DC
- if (AB || CD) and (AC || BD), then ABDC is a parallelogram
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.