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