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Quadrilaterals : A Review Game. Moody Mathematics. Go To The Head of the Class--Review Game. Moody Mathematics. Rules : A question starts with a player. If that player answers correctly he/she keeps his/her seat. Moody Mathematics. - PowerPoint PPT Presentation
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QuadrilateralsQuadrilaterals:
A Review Game
Moody Mathematics
Go To The Head of the Class--Review Game
Moody Mathematics
Rules: A question starts with a player. If that player answers correctly he/she keeps his/her seat.
Moody Mathematics
If the player misses, then the question goes to the next player. If missed, it goes to the next player...
Moody Mathematics
…and continues until someone gets it correct. That student moves to the seat where the question started...
Moody Mathematics
…and everyone who missed the question moves back one seat.
Moody Mathematics
The object of the game is to occupy and keep the #1 seat.
Moody Mathematics
Questions with a limited number of possible responses will not be offered indefinitely. A substitute question will be posed.
Moody Mathematics
It is important to listen to previous responses. They will not be repeated for you.
Moody Mathematics
Have paper and pencil, formula sheet, and calculator ready.
Moody Mathematics
The first person to receive a question will have a maximum of 30 seconds to answer.
Moody Mathematics
Every person after that has only 10 seconds to reply.
Be ready when called upon.
Moody Mathematics
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?
Moody Mathematics
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?
Moody Mathematics
Answer: Square
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What is the term for a segment that connects 2 non-consecutive vertices of a polygon?
Moody Mathematics
Answer: Diagonal
Moody Mathematics
What is the term for the 2 sides of a trapezoid that are parallel?
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Answer: Bases
Moody Mathematics
What is the term for a quadrilateral with 2 pairs of opposite sides parallel?
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Answer: Parallelogram
Moody Mathematics
What is the term for a quadrilateral with 4 right angles?
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Answer: Rectangle
Moody Mathematics
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?
Moody Mathematics
Answer: Midsegment
Moody Mathematics
What is the term for a quadrilateral with 2 distinct pairs of consecutive sides congruent?
Moody Mathematics
Answer: Kite
Moody Mathematics
What is the term for a trapezoid with congruent legs?
Moody Mathematics
Answer: An Isosceles Trapezoid
Moody Mathematics
What is the term for an equiangular quadrilateral?
Moody Mathematics
Answer: Rectangle
Moody Mathematics
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
Moody Mathematics
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___________
_____________.Moody Mathematics
…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
Moody Mathematics
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
Moody Mathematics
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
Moody Mathematics
Find x (Isos. Trap.)
6
14
8
65ox
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Answer: 65o
Moody Mathematics
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
Moody Mathematics
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
Moody Mathematics
Answer: Rhombus
Moody Mathematics
A
B
C
D
E
BE ED
AE CE
AB BC
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Answer: Rhombus
Moody Mathematics
A
B
C
D
E
//
//
AB CD
BC AD
AB CB
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Answer: Rectangle
Moody Mathematics
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
Moody Mathematics