SOLUTION: Please help me answer this proof Given:line segment YW is an altitude of triangle XYZ; angle X is congruent to angle Z Prove:line segment YW is a median of triangle XYZ

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Question 244320: Please help me answer this proof
Given:line segment YW is an altitude of triangle XYZ; angle X is congruent to angle Z
Prove:line segment YW is a median of triangle XYZ


Answer by geometryguy(2) About Me  (Show Source):
You can put this solution on YOUR website!
After Given;
Segment YW is perpendicular to segment XZ (Def Altitude)
Angles YWX and YWZ are right angles (Perpendicular lines form right angles)
Segment YW is congruent to YW (Identity)
Triangle YWX is congruent to triangle YWX (Leg Acute Angle)
Segment XW is congruent to segment ZW (CPCTC)
W is midpoint of segment XZ (Def Midpoint)
Segment YW is median of triangle XYZ (Def median)