SOLUTION: 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. <YWX and <YWZ

Algebra ->  Geometry-proofs -> SOLUTION: 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. <YWX and <YWZ      Log On


   

Question 757720: 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. 4.Line YW is congruent to line YW
5. Triangle WXY is congruent to triangle WZY
6.Line XY is congruent to Line ZY
http://tinypic.com/view.php?pic=301n782&s=5
Here are the reasons
!. Given
2.
3. Definition of perpendicular bisector
4.
5.
6.
It is a 2 column proof and you have to fill in the blanks
IT MUST BE A 2 COLUMN PROOF
Answer by MathLover1(20850) About Me  (Show Source):
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Statements
1.Line YZ is perpendicular to Line XZ and line YW bisects line XZ
2.Line XW is congruent to Line ZW
3. 4.Line YW is congruent to line YW
5. Triangle WXY is congruent to triangle WZY
6.Line XY is congruent to Line ZY

the reasons
!. Given
2.YW is the perpendicular bisector of XZ
3. Definition of perpendicular bisector (Perpendicular lines form right angles)
4.a common side to YWX and YWZ
5. by SAS
6. corresponding sides in congruent to triangles