Ask your own question, for FREE!
Mathematics 10 Online
OpenStudy (anonymous):

PROOF Prove Line XY is congruent to Line ZY Statements 1.Line YZ is perpendicular to Line XZ and line YW bisects line XZ 2.Line XW is congruent to Line ZW 3.

OpenStudy (irishboy123):

for this kind of problem, you always need to start with a sketch. not to scale or even that artistic, but you do need to draw it out. did you do that? if so, can you share it?

OpenStudy (anonymous):

the link to the picture is in there but here it is http://tinypic.com/view.php?pic=301n782&s=5

OpenStudy (anonymous):

Also in reasons #3 is Definition of perpendicular bisector

OpenStudy (anonymous):

Notice how dropping the right bisector WY creates two congruent parts, XW and WZ. We now have two triangles: XYW and YWZ. Both these triangles share two sides, i.e. XW and WZ are congruent; YW is shared by both triangles and they both share a 90 degrees angle created by the right bisection YW. Hence, by the SAS (Side-Angle-Side) property, these two triangles must be congruent.\[\bf \therefore \ XY=ZY\] \[\bf Q.E.D\]

OpenStudy (anonymous):

@stephanie 1000000

OpenStudy (anonymous):

Can you maybe put this in a more organized way like number the reasons.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!