Quadrilaterals : A Review Game
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Transcript of Quadrilaterals : A Review Game
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QuadrilateralsQuadrilaterals:
A Review Game
Moody Mathematics
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Go To The Head of the Class--Review Game
Moody Mathematics
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Rules: A question starts with a player. If that player answers correctly he/she keeps his/her seat.
Moody Mathematics
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If the player misses, then the question goes to the next player. If missed, it goes to the next player...
Moody Mathematics
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…and continues until someone gets it correct. That student moves to the seat where the question started...
Moody Mathematics
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…and everyone who missed the question moves back one seat.
Moody Mathematics
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The object of the game is to occupy and keep the #1 seat.
Moody Mathematics
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Questions with a limited number of possible responses will not be offered indefinitely. A substitute question will be posed.
Moody Mathematics
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It is important to listen to previous responses. They will not be repeated for you.
Moody Mathematics
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Have paper and pencil, formula sheet, and calculator ready.
Moody Mathematics
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The first person to receive a question will have a maximum of 30 seconds to answer.
Moody Mathematics
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Every person after that has only 10 seconds to reply.
Be ready when called upon.
Moody Mathematics
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Terms and Terms and Definitions:Definitions:
Moody Mathematics
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What is the term for a quadrilateral with exactly 1 pair of opposite sides parallel?
Moody Mathematics
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Answer:
Trapezoid
Moody Mathematics
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What is the term for an equilateral quadrilateral?
Moody Mathematics
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Answer:
Rhombus
Moody Mathematics
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What is the term for a regular quadrilateral?
Moody Mathematics
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Answer: Square
Moody Mathematics
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What is the term for a segment that connects 2 non-consecutive vertices of a polygon?
Moody Mathematics
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Answer: Diagonal
Moody Mathematics
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What is the term for the 2 sides of a trapezoid that are parallel?
Moody Mathematics
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Answer: Bases
Moody Mathematics
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What is the term for a quadrilateral with 2 pairs of opposite sides parallel?
Moody Mathematics
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Answer: Parallelogram
Moody Mathematics
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What is the term for a quadrilateral with 4 right angles?
Moody Mathematics
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Answer: Rectangle
Moody Mathematics
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What is the term for the 2 sides of a trapezoid that are not parallel?
Moody Mathematics
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Answer: Legs
Moody Mathematics
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What is the term for the segment that joins the midpoints of the legs of a trapezoid?
Moody Mathematics
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Answer: Midsegment
Moody Mathematics
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What is the term for a quadrilateral with 2 distinct pairs of consecutive sides congruent?
Moody Mathematics
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Answer: Kite
Moody Mathematics
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What is the term for a trapezoid with congruent legs?
Moody Mathematics
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Answer: An Isosceles Trapezoid
Moody Mathematics
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What is the term for an equiangular quadrilateral?
Moody Mathematics
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Answer: Rectangle
Moody Mathematics
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SYMMETRYSYMMETRY
Moody Mathematics
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Which special quadrilateral has the symmetry described...
Moody Mathematics
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- 4 lines
- 90o rotational
Moody Mathematics
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Answer: Square
Moody Mathematics
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- No lines
- 180o rotational
Moody Mathematics
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Answer: Parallelogram
Moody Mathematics
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- 2 lines (not along diagonals)
- 180o rotational
Moody Mathematics
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Answer: Rectangle
Moody Mathematics
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- 2 lines (along diagonals)
- 180o rotational
Moody Mathematics
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Answer: Rhombus
Moody Mathematics
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- 1 line (along a diagonal)
- No Rotational
Moody Mathematics
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Answer: Kite
Moody Mathematics
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-1 line (not along a diagonal)
- No rotational
Moody Mathematics
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Answer: Isosceles Trapezoid
Moody Mathematics
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Complete the Complete the Theorem….Theorem….
Moody Mathematics
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The diagonals of a parallelogram_________.
Moody Mathematics
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…bisect each other.
Moody Mathematics
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Opposite sides of a parallelogram are__________.
Moody Mathematics
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…congruent.(They are also parallel, but that is in the definition, not a theorem.)
Moody Mathematics
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If the opposite angles of a quadrilateral are congruent, then__________
Moody Mathematics
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…then the quadrilateral is a parallelogram.
Moody Mathematics
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A parallelogram is a ______ if and only if its diagonals bisect opposite angles.
Moody Mathematics
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… Rhombus...
Moody Mathematics
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If one angle of a parallelogram is supplementary to________________________.
Moody Mathematics
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…both of its consecutive angles, then it is a parallelogram.
Moody Mathematics
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If one pair of opposite sides of a quadrilateral are___________
_____________.Moody Mathematics
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…both congruent and parallel, then the quadrilateral is a parallelogram.
Moody Mathematics
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A parallelogram is a ______ if and only if its diagonals are congruent.
Moody Mathematics
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...Rectangle...
Moody Mathematics
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A parallelogram is a ________ if and only if its diagonals are perpendicular.
Moody Mathematics
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…Rhombus...
Moody Mathematics
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Consecutive angles of a parallelogram are ____________.
Moody Mathematics
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Supplementary.
Moody Mathematics
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Always, Always, Sometimes, or Sometimes, or Never...Never...
Moody Mathematics
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The diagonals of a parallelogram ____ bisect each other.
Moody Mathematics
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Always
Moody Mathematics
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The diagonals of a rectangle are _______ perpendicular.
Moody Mathematics
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Sometimes
Moody Mathematics
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The opposite angles of a rhombus are_____ congruent.
Moody Mathematics
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Always
Moody Mathematics
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A quadrilateral is _____ a parallelogram,
Moody Mathematics
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Sometimes
Moody Mathematics
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A square is ____ a rhombus.
Moody Mathematics
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Always
Moody Mathematics
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The bases of a trapezoid are ____ congruent.
Moody Mathematics
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Never
Moody Mathematics
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A square is ____ a rectangle.
Moody Mathematics
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Always
Moody Mathematics
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The diagonals of a kite are_____ perpendicular.
Moody Mathematics
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Always
Moody Mathematics
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The diagonals of a trapezoid ____ bisect each other.
Moody Mathematics
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Never
Moody Mathematics
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Both pairs of opposite angles of a kite are _____ congruent.
Moody Mathematics
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Never
Moody Mathematics
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A rectangle is ____ a rhombus.
Moody Mathematics
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Sometimes
Moody Mathematics
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The legs of a trapezoid are ____ congruent.
Moody Mathematics
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Sometimes
Moody Mathematics
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Finding Finding
Measures...Measures...
Moody Mathematics
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Find x in rectangle
25ox
Moody Mathematics
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Answer: 25o
Moody Mathematics
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Find x in rectangle
25o
x
Moody Mathematics
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Answer: 65o
Moody Mathematics
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Find x in rectangle
25o
x
Moody Mathematics
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Answer: 130o
Moody Mathematics
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Find x in rectangle
25o
x
Moody Mathematics
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Answer: 50o
Moody Mathematics
![Page 105: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/105.jpg)
Find x in Rhombus
25o
x
Moody Mathematics
![Page 106: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/106.jpg)
Answer: 25o
Moody Mathematics
![Page 107: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/107.jpg)
Find x in Rhombus
25o
xMoody Mathematics
![Page 108: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/108.jpg)
Answer: 65o
Moody Mathematics
![Page 109: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/109.jpg)
Find x in Rhombus
25o
x
Moody Mathematics
![Page 110: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/110.jpg)
Answer: 90o
Moody Mathematics
![Page 111: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/111.jpg)
Find x (Isos. Trap.)
6
14
8
65ox
Moody Mathematics
![Page 112: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/112.jpg)
Answer: 65o
Moody Mathematics
![Page 113: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/113.jpg)
Find x (Isos. Trap.)
6
14
8
65o
x
Moody Mathematics
![Page 114: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/114.jpg)
Answer: 115o
Moody Mathematics
![Page 115: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/115.jpg)
Find x in the Trapezoid
6
14
8
65o
x
Moody Mathematics
![Page 116: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/116.jpg)
Answer: 10
Moody Mathematics
![Page 117: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/117.jpg)
Find x in the Trapezoid
14
6
65o
11
x
Moody Mathematics
![Page 118: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/118.jpg)
Answer: 8
Moody Mathematics
![Page 119: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/119.jpg)
Find x in the kite 25o
50o
x
Moody Mathematics
![Page 120: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/120.jpg)
Answer: 90o
Moody Mathematics
![Page 121: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/121.jpg)
Find x in the kite 25o
50o
x
Moody Mathematics
![Page 122: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/122.jpg)
Answer: 65o
Moody Mathematics
![Page 123: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/123.jpg)
Find x in the kite 25o
50o
x
Moody Mathematics
![Page 124: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/124.jpg)
Answer: 40o
Moody Mathematics
![Page 125: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/125.jpg)
Identify the type of Identify the type of Quadrilateral, Quadrilateral, based on the based on the given information.given information.
Moody Mathematics
![Page 126: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/126.jpg)
Use this picture for reference only:
A
B
C
D
E
Moody Mathematics
![Page 127: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/127.jpg)
A
B
C
D
E//
AB CD
AB CD
AC BD
Moody Mathematics
![Page 128: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/128.jpg)
Answer: Rectangle
Moody Mathematics
![Page 129: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/129.jpg)
A
B
C
D
E
AB CD
BC AD
AC BD
Moody Mathematics
![Page 130: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/130.jpg)
Answer: Rhombus
Moody Mathematics
![Page 131: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/131.jpg)
A
B
C
D
E
BE ED
AE CE
AB BC
Moody Mathematics
![Page 132: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/132.jpg)
Answer: Rhombus
Moody Mathematics
![Page 133: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/133.jpg)
A
B
C
D
E
//
//
AB CD
BC AD
AB CB
Moody Mathematics
![Page 134: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/134.jpg)
Answer: Rectangle
Moody Mathematics
![Page 135: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/135.jpg)
A
B
C
D
E//
BC AD
AB CD
AB CD
Moody Mathematics
![Page 136: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/136.jpg)
Answer: Isosceles Trapezoid
Moody Mathematics
![Page 137: Quadrilaterals : A Review Game](https://reader035.fdocuments.us/reader035/viewer/2022062517/56813053550346895d960425/html5/thumbnails/137.jpg)
The EndThe End
Moody Mathematics