Quadrilaterals:

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Quadrilaterals A Review Game
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Go To The Head of the Class--Review Game
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Rules A question starts with a player. If that
player answers correctly he/she keeps his/her
seat.
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If the player misses, then the question goes to
the next player. If missed, it goes to the next
player...
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and continues until someone gets it correct.
That student moves to the seat where the question
started...
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and everyone who missed the question moves back
one seat.
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The object of the game is to occupy and keep the
1 seat.
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Questions with a limited number of possible
responses will not be offered indefinitely. A
substitute question will be posed.
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It is important to listen to previous responses.
They will not be repeated for you.
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Have paper and pencil, formula sheet, and
calculator ready.
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The first person to receive a question will have
a maximum of 30 seconds to answer.
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Every person after that has only 10 seconds to
reply. Be ready when called upon.
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Terms and Definitions
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What is the term for a quadrilateral with exactly
1 pair of opposite sides parallel?
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Answer Trapezoid
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What is the term for an equilateral
quadrilateral?
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Answer Rhombus
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What is the term for a regular quadrilateral?
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Answer Square
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What is the term for a segment that connects 2
non-consecutive vertices of a polygon?
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Answer Diagonal
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What is the term for the 2 sides of a trapezoid
that are parallel?
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Answer Bases
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What is the term for a quadrilateral with 2 pairs
of opposite sides parallel?
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Answer Parallelogram
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What is the term for a quadrilateral with 4 right
angles?
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Answer Rectangle
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What is the term for the 2 sides of a trapezoid
that are not parallel?
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Answer Legs
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What is the term for the segment that joins the
midpoints of the legs of a trapezoid?
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Answer Midsegment
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What is the term for a quadrilateral with 2
distinct pairs of consecutive sides congruent?
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Answer Kite
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What is the term for a trapezoid with congruent
legs?
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Answer An Isosceles Trapezoid
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What is the term for an equiangular quadrilateral?
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Answer Rectangle
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SYMMETRY
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Which special quadrilateral has the symmetry
described...
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- 4 lines - 90o rotational
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Answer Square
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- No lines - 180o rotational
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Answer Parallelogram
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- 2 lines (not along diagonals) - 180o rotational
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Answer Rectangle
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- 2 lines (along diagonals) - 180o rotational
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Answer Rhombus
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- 1 line (along a diagonal) - No Rotational
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Answer Kite
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-1 line (not along a diagonal) - No rotational
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Answer Isosceles Trapezoid
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Complete the Theorem.
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The diagonals of a parallelogram_________.
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bisect each other.
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Opposite sides of a parallelogram are__________.
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congruent.
(They are also parallel, but that is in the
definition, not a theorem.)
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If the opposite angles of a quadrilateral are
congruent, then__________
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then the quadrilateral is a parallelogram.
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A parallelogram is a ______ if and only if its
diagonals bisect opposite angles.
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Rhombus...
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If one angle of a parallelogram is supplementary
to________________________.
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both of its consecutive angles, then it is a
parallelogram.
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If one pair of opposite sides of a quadrilateral
are___________ _____________.
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both congruent and parallel, then the
quadrilateral is a parallelogram.
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A parallelogram is a ______ if and only if its
diagonals are congruent.
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...Rectangle...
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A parallelogram is a ________ if and only if its
diagonals are perpendicular.
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Rhombus...
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Consecutive angles of a parallelogram are
____________.
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Supplementary.
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Always, Sometimes, or Never...
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The diagonals of a parallelogram ____ bisect each
other.
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Always
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The diagonals of a rectangle are _______
perpendicular.
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Sometimes
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The opposite angles of a rhombus are_____
congruent.
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Always
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A quadrilateral is _____ a parallelogram,
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Sometimes
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A square is ____ a rhombus.
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Always
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The bases of a trapezoid are ____ congruent.
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Never
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A square is ____ a rectangle.
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Always
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The diagonals of a kite are_____ perpendicular.
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Always
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The diagonals of a trapezoid ____ bisect each
other.
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Never
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Both pairs of opposite angles of a kite are _____
congruent.
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Never
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A rectangle is ____ a rhombus.
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Sometimes
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The legs of a trapezoid are ____ congruent.
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Sometimes
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Finding Measures...
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Find x in rectangle
x
25o
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Answer 25o
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Find x in rectangle
25o
x
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Answer 65o
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Find x in rectangle
25o
x
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Answer 130o
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Find x in rectangle
25o
x
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Answer 50o
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Find x in Rhombus
25o
x
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Answer 25o
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Find x in Rhombus
25o
x
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Answer 65o
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Find x in Rhombus
25o
x
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Answer 90o
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Find x (Isos. Trap.)
6
8
x
65o
14
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Answer 65o
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Find x (Isos. Trap.)
6
x
8
65o
14
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Answer 115o
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Find x in the Trapezoid
6
8
x
65o
14
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Answer 10
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Find x in the Trapezoid
x
6
11
65o
14
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Answer 8
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Find x in the kite
50o
x
25o
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Answer 90o
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Find x in the kite
50o
x
25o
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Answer 65o
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Find x in the kite
50o
x
25o
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Answer 40o
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Identify the type of Quadrilateral, based on the
given information.
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Use this picture for reference only
B
A
C
E
D
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B
A
C
E
D
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Answer Rectangle
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B
A
C
E
D
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Answer Rhombus
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B
A
C
E
D
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Answer Rhombus
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B
A
C
E
D
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Answer Rectangle
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B
A
C
E
D
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Answer Isosceles Trapezoid
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The End
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