How do I complete the statements for the following figure?

enter image source here

1 Answer
Nov 23, 2017

#"see explanation"#

Explanation:

#"using the "color(blue)"properties of the parallelogram"#

#• " opposite sides are parallel and congruent"#

#• " opposite angles are congruent"#

#• " consecutive angles are supplementary"#

#• " the diagonals bisect each other"#

#bar(XW)~=bar(YZ)larr"opposite sides parallel"#

#bar(XY)~=bar(WZ)larr"opposite sides parallel"#

#bar(XV)~=bar(VZ)larr"diagonals bisect"#

#bar(WV)~=bar(VY)larr"diagonals bisect"#

#bar(XV)+bar(VZ)=bar(XZ)#

#bar(WY)-bar(WV)=bar(VY)#

#angleWXY=angleWZYlarr"opposite angles congruent"#

#angleWXY+angleXWZ=180^@larr"consecutive angles"#