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Special Quadrilaterals Practice Honors Geometry
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Give the most descriptive name A parallelogram with perpendicular diagonals must be a: ______________
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Answer Rhombus (Parallelogram diagonals must bisect each other. Diagonals don’t have to be congruent, but are perpendicular. Forms 4 congruent triangles (SAS), so 4 congruent sides.)
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Give the most descriptive name A parallelogram with congruent diagonals must be a ______________________
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Answer Rectangle
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Give the most descriptive name A quadrilateral with perpendicular diagonals must be a: _______________
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Answer Quadrilateral (Diagonals don’t have to bisect each other or be perpendicular!)
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Give the most descriptive name A kite with congruent diagonals must be a: ____________________
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Answer Kite – could be square, but given doesn’t say diagonals have to bisect each other! Could be:
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Give the most descriptive name A parallelogram with diagonals bisecting opposite angles must be a: ___________
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Answer Rhombus (Opp. angles of parallelogram are congruent, so halves of angles are congruent, forming isos. triangles with congruent sides. Opp. sides of parallelograms are congruent, so all 4 sides must be congruent.
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Give the most descriptive name A rhombus with congruent diagonals must be a: ___________________
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Answer Square (A parallelogram with congruent diagonals must be a rectangle, which has 4 rt. angles. A rhombus has 4 congruent sides. A shape with 4 congruent sides and angles is a square!)
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Give the most descriptive name:
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Answer Parallelogram (Diagonals bisect each other)
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Give the most descriptive name
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Answer Quadrilateral (Diagonals do not have to be same length or bisect each other. Could look like diagram below: )
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Give the most descriptive name
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Answer Quadrilateral (Could be either trap or parallelogram, so not enough info to classify)
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Give the most descriptive name
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Answer Kite (One diagonal is perp. bis. of the other, so the Equidistance Theorem applies)
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Give the most descriptive name
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Answer Rhombus (Bisecting diagonals means it must at least be a parallelogram, but 4 congruent sides makes it a rhombus.)
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Give the most descriptive name
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Answer Quadrilateral – Could be isos. trapezoid, but could also be parallelogram since it is not stated that sides of length 8 AREN’T parallel… categories don’t overlap, so it is only known that the shape has 4 sides
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