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Geometry lesson 1-5 Properties of Special Quadrilaterals
Choose the correct response for each.
___ 1) Which statement is always true?
A) The diagonals of a parallelogram are perpendicular.
B) The diagonals of a parallelogram bisect the angles of the parallelogram.
C) The diagonals of a parallelogram bisect each other.
D) The diagonals of a parallelogram are congruent.
___ 2) Which statement is always true about a parallelogram?
A) Diagonals are perpendicular.
B) Diagonals bisect each other.
C) Diagonals bisect the angles.
D) Adjacent sides are congruent.
___ 3) Which statement is not always true about a parallelogram?
A) Opposite angles are congruent.
B) Opposite sides are congruent.
C) Opposite sides are parallel.
D) Diagonals are congruent.
___ 4) A parallelogram must be a rhombus if the
A) diagonals are perpendicular
B) diagonals are congruent
C) opposite angles are congruent
D) opposite sides are congruent
___ 5) If the diagonals of a quadrilateral are perpendicular and not congruent, the quadrilateral
may be
A) a rectangle
B) a rhombus
C) a square
D) an isosceles trapezoid
___ 6) Which figure does not always have congruent diagonals?
A) rectangle
B) isosceles trapezoid
C) square
D) rhombus
___ 7) Which quadrilateral must have congruent diagonals?
A) rhombus
B) rectangle
C) trapezoid
D) parallelogram
___ 8) Which statement is always true?
A) All parallelograms are rectangles.
B) All rhombuses are rectangles.
C) All trapezoids are parallelograms.
D) All squares are rhombuses.
___ 9) A quadrilateral has diagonals that are congruent but not perpendicular. The quadrilateral
contains no right
angles. The quadrilateral could be
A) a rectangle
B) a square
C) an isosceles trapezoid
D) a rhombus
___ 10) Which is an example of a quadrilateral whose diagonals are congruent but do not bisect
each other?
A) a square
B) a rhombus
C) a rectangle
D) an isosceles trapezoid
Write out: True or False
_______ 11) Every rhombus is a parallelogram.
_______ 12) Every rectangle is a parallelogram.
_______ 13) Every parallelogram is a square.
_______ 14) Every parallelogram is a rhombus.
_______ 15) The diagonals of a rhombus bisect each other.
_______ 16) The diagonals of a rhombus are perpendicular to each other.
_______ 17) The diagonals of a rhombus are congruent.
_______ 18) The diagonals of a rectangle are perpendicular to each other.
_______ 19) The diagonals of a rectangle are congruent.
Blast from the past:
20) If M(-2,5) is the midpoint of AB and the coordinates of A are (4,7),
find the coordinates of B.
Challenge question:
21) Find, in simplest radical form, the length of the diagonals of a rectangle with vertices
P(-4,-6), Q(7,-6), R(7,-3),and S(-4,-3).
Reminder: HW’s may be collected and GRADED!!
Study for quiz on formulas next block: slope, distance, midpoint!