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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].
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Rewritten by : Barada
Answer:
True statements are,
A, B, D, E , and F
Step-by-step explanation:
Properties of a square
1) All sides are equal
2) All angles are equal to 90°
3) Opposite sides are parallel
A. WXYZ is a parallelogram
True (property 3)
B.
True (Property 2)
C. WXYZ is a trapezoid
False
D. WX ≅ XY
True (Property 1)
E.
True (Property 1)
F.
True (Property 2)
True statements are,
A, B, D, E , and F
