Quadrilaterals Quadrilaterals: A Review Game Moody Mathematics.

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___________

_____________.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

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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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