Special Quadrilaterals Practice Honors Geometry A quadrilateral with
- Slides: 25
Special Quadrilaterals Practice Honors Geometry
A quadrilateral with perpendicular diagonals must be a: ________ Give the most descriptive name
Quadrilateral (Diagonals don’t have to bisect each other or be perpendicular!) Answer
A parallelogram with perpendicular diagonals must be a: _______ Give the most descriptive name
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
A quadrilateral in which both diagonals bisect the opposite angles must be a _________. Give the most descriptive name
Rhombus Answer
A kite with congruent diagonals must be a: __________ Give the most descriptive name
Kite – could be square, but given doesn’t say diagonals have to bisect each other! Could be: Answer
A parallelogram with diagonals bisecting opposite angles must be a: ______ Give the most descriptive name
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
A rhombus with congruent diagonals must be a: __________ Give the most descriptive name
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
Give the most descriptive name:
Parallelogram (Diagonals bisect each other) Answer
Give the most descriptive name
Quadrilateral (Diagonals do not have to be same length or bisect each other. Could look like diagram below: ) Answer
Give the most descriptive name
Quadrilateral (Could be either trap or parallelogram, so not enough info to classify) Answer
Give the most descriptive name
Kite (One diagonal is perp. bis. of the other, so the Equidistance Theorem applies) Answer
Give the most descriptive name
Rhombus (Bisecting diagonals means it must at least be a parallelogram, but 4 congruent sides makes it a rhombus. ) Answer
Give the most descriptive name
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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