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Special Quadrilaterals Practice
Honors Geometry
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Give the most descriptive name
A quadrilateral with perpendicular diagonals must be a: _______________ Give the most descriptive name
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Quadrilateral (Diagonals don’t have to bisect each other or be perpendicular!) Answer
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Give the most descriptive name
A parallelogram with perpendicular diagonals must be a: ______________ Give the most descriptive name
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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.) Answer
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Give the most descriptive name
A quadrilateral in which both diagonals bisect the opposite angles must be a _________________. Give the most descriptive name
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Rhombus Answer
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Give the most descriptive name
A kite with congruent diagonals must be a: ____________________ Give the most descriptive name
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Kite – could be square, but given doesn’t say diagonals have to bisect each other! Could be:
Answer
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Give the most descriptive name
A parallelogram with diagonals bisecting opposite angles must be a: ___________ Give the most descriptive name
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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. Answer
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Give the most descriptive name
A rhombus with congruent diagonals must be a: ___________________ Give the most descriptive name
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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!) Answer
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Give the most descriptive name:
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Parallelogram (Diagonals bisect each other) Answer
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Give the most descriptive name
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Quadrilateral (Diagonals do not have to be same length or bisect each other. Could look like diagram below: ) Answer
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Give the most descriptive name
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Quadrilateral (Could be either trap or parallelogram, so not enough info to classify)
Answer
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Give the most descriptive name
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Kite (One diagonal is perp. bis. of the other, so the Equidistance Theorem applies) Answer
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Give the most descriptive name
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Rhombus (Bisecting diagonals means it must at least be a parallelogram, but 4 congruent sides makes it a rhombus.) Answer
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Give the most descriptive name
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Quadrilateral – Could be isos
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 Answer
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