Question

Line segment XW is congruent to line segment ZW both create a straight line but has a bisector that creates a 90 degree angle how would i explain this as a reason in a proof?

Answer 1

is that all you're given?

Answer 2

http://tinypic.com/view.php?pic=301n782&s=5 yes

Answer 3

I'm assuming you want to prove that the two triangles XWY and ZWY are congruent right?

Answer 4

we know that XW = WZ (given by the tick marks)

angle XWY = angle ZWY because they are both right angles (all right angles are congruent and equal to 90 degrees)

finally, YW = YW (reflexive property)

Answer 5

It wants me to prove that line segment XY is congruent to ZY

Answer 6

put this all together and you can use the SAS postulate to prove that

triangle XWY = triangle ZWY

Answer 7

the last step is to use CPCTC to say that XY = YZ

Answer 8

CPCTC = corresponding parts of congruent triangles are congruent

Answer 9

For XW = ZW what else would i be able to put as a reason

Answer 10

it's given because that's exactly what those tick marks mean

Answer 11

if you have the same tick mark on two segments, then those segments are the same length