Quiz (1 point)
Given that:
the y coordinate of point Z = b
the y coordinate of point Y = b
the y coordinate of point W = 0
the y coordinate of point X = 0
S is the midpoint of line WZ
T is the midpoint of line XY
not((the x coordinate of point T) - (the x coordinate of point S) = 0)
not((the x coordinate of point X) - (the x coordinate of point W) = 0)
Prove that:
ST || WX
The following properties may be helpful:
- slope of line AB = ((the y coordinate of point B) - (the y coordinate of point A)) / ((the x coordinate of point B) - (the x coordinate of point A))
- slope of line AB = ((the y coordinate of point B) - (the y coordinate of point A)) / ((the x coordinate of point B) - (the x coordinate of point A))
- if M is the midpoint of line AB, then the y coordinate of point M = ((the y coordinate of point A) + (the y coordinate of point B)) / 2
if the following are true:
- y = (a + b) / 2
- a = 0
- b = e
then y = e / 2
- if M is the midpoint of line AB, then the y coordinate of point M = ((the y coordinate of point A) + (the y coordinate of point B)) / 2
if the following are true:
- y = (a + b) / 2
- a = 0
- b = e
then y = e / 2
if the following are true:
- a = b
- c = d
then a - c = b - d
if x = a - a, then x = 0
if the following are true:
- a = b / c
- b = d
then a = d / c
if the following are true:
- x = 0 / y
- not (y = 0)
then x = 0
if the following are true:
- b = 0
- a = 0
then b - a = 0
if the following are true:
- a = b / c
- b = d
then a = d / c
if the following are true:
- x = 0 / y
- not (y = 0)
then x = 0
if the following are true:
- a = c
- b = c
then a = b
- if slope of line AB = slope of line CD, then AB || CD
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.