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