QuadrilateralsQuadrilaterals:
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 Terms and Definitions: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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SYMMETRYSYMMETRY
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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 Complete the Theorem….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, Always, Sometimes, or Sometimes, or Never...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 Finding
Measures...Measures...
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Find x in rectangle
25ox
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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
xMoody Mathematics
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
14
8
65ox
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Answer: 65o
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Find x (Isos. Trap.)
6
14
8
65o
x
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Answer: 115o
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Find x in the Trapezoid
6
14
8
65o
x
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Answer: 10
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Find x in the Trapezoid
14
6
65o
11
x
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Answer: 8
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Find x in the kite 25o
50o
x
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Answer: 90o
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Find x in the kite 25o
50o
x
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Answer: 65o
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Find x in the kite 25o
50o
x
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Answer: 40o
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Identify the type of Identify the type of Quadrilateral, Quadrilateral, based on the based on the given information.given information.
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Use this picture for reference only:
A
B
C
D
E
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A
B
C
D
E//
AB CD
AB CD
AC BD
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Answer: Rectangle
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A
B
C
D
E
AB CD
BC AD
AC BD
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Answer: Rhombus
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A
B
C
D
E
BE ED
AE CE
AB BC
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Answer: Rhombus
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A
B
C
D
E
//
//
AB CD
BC AD
AB CB
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Answer: Rectangle
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A
B
C
D
E//
BC AD
AB CD
AB CD
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Answer: Isosceles Trapezoid
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The EndThe End
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