Quiz (1 point)
Prove that:
WXYZ is a rectangle
The following properties may be helpful:
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- b = c
then a = c
- if (m∠XYZ = m∠ZWX) and (m∠WXY = m∠YZW), then WXYZ is a parallelogram
- 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
- b = c
then a = c
if the following are true:
- a + b = c
- d = b
then a + d = c
if a = b, then b = a
if the following are true:
- x = y
- (a + x) + c = f
then (a + y) + c = f
if a = b, then c + b = c + a
if the following are true:
- (a + b) + c = d
- a = e
then (e + b) + c = d
if ((a + a) + a) + a = 360, 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.