1
The quadrilateral formed is a rhombus, and a parallelogram.
2
The quadrilateral formed is a square, a rhombus, and a parallogram
3
The quadrilateral formed is a parallelogram
4.
| Conditions |
Quadrilateral(s)
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Explain your reasoning
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Diagonals are perpendicular.
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Rhombus, Kite
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Diagonals are perpendicular and only one diagonal is bisected.
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Kite |
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Diagonals are congruent and intersect but are not perpendicular.
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Rectangle, Isos. Trap |
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Diagonals bisect each other.
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parallelogram |
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Diagonals are perpendicular and bisect each other.
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Diagonals are congruent, perpendicular and bisect each other
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10.
a parallelogram
opposite sides are parallel
-or
opposite sides are congruent
-or
diagonals bisect each other
b.rectangle
diagonals are congruent and bisect each other
-or
opposite sides are parallel and congruent
-or
opposite angles are congruent and diagonals are congruent
(c) a rhombus
diagonals are perpendicular and bisect each other
-or
opposite sides are congruent and diagonals bisect each other
a square
diagonals are congruent, perpendicular and bisect each other
-or
opposite sides are congruent and diagonals are congruent and perpendicular
a kite
diagonals are perpendicular and one diagonal is bisected
or
diagonals are perpendicular and two pairs of consecutive sides are congruent
an isosceles trapezoid
only one pair of sides is parallel and diagonals are congruent
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