Answer: A. WXYZ is a parallelogram
B. [tex]\angle{W}[/tex] is a right angle.
D. [tex]\overline{WX}\cong\overline{XY}[/tex]
E. [tex]\angle{W}\cong\angle{Y}[/tex]
F. [tex]\angle{W}[/tex] is supplementary to [tex]\angle{Y}[/tex].
Step-by-step explanation:
Given: WXYZ is a square.
A. A square is a parallelogram because its opposite sides are equal.
B. [tex]\angle{W}[/tex] is a right angle , since all the interior angles in a square area right angle.
C. A trapezoid has two equal parallel sides and two non-parallel sides.
But square has opposite sides parallel , therefore WXYZ is not a trapezoid.
D. Since all the sides of a square are congruent to each other , therefore
[tex]\overline{WX}\cong\overline{XY}[/tex]
E. Since all the angles of a square are congruent to each other , therefore
[tex]\angle{W}\cong\angle{Y}[/tex]
F. Since , all the interior angles in a square area right angle.
Thus, [tex]\angle{W}+\angle{Y}=90^{\circ}+90^{\circ}=180^{\circ}[/tex]
Hence, [tex]\angle{W}[/tex] is supplementary to [tex]\angle{Y}[/tex].
