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Published byLizbeth Abigail Dawson Modified over 9 years ago
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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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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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If the question is on a yellow screen, expect to solve a problem. Have calculator, paper & pencil ready.
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If the background is orange, name the definition, property, theorem, etc, that supports the given conclusion.
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If the question is on a green screen, it requires just a short answer.
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Time to Play:
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READY? (begin)
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1 2 Then
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The Supplement Theorem (The angles in a linear pair are supplementary.)
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1 2 Then
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The Vertical Angles Theorem: Vertical Angles are congruent.
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If and are right angles, then
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The Right Angle Theorem: All Right angles are congruent.
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Two angles are complementary. One is 32 degrees. What is the measure of the other one?
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ANSWER: 58 degrees
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What do we call 2 non-adjacent angles that are formed when 2 lines intersect?
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Answer: Vertical Angles
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Two angles are supplementary. One angle is 73 degrees, find the measure of the other one.
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Answer: 107 degrees
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What do we call 2 lines that intersect to form right angles?
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Answer: Perpendicular Lines
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Complete this theorem: If 2 angles are complementary to the same angle…...
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Answer: … then they are congruent to each other.
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Remember the “Key” to setting up equations in Geometry...
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You usually do one of 2 things… - Set two expressions equal to each other Or….
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-Add expressions together and set their sum equal to something else.
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8x+25 4x -1 Find x
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Answer: 8x+25 + 4x - 1 = 180 12x+24=180 12x=156 x=13
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7x-10 5x+12 Find x
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Answer: 7x-10 = 5x + 12 2x-10 = 12 2x = 22 x = 11
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According to the Supplement Theorem, what kind of angles are supplementary?
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Answer: The angles in a Linear Pair
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Complete this Theorem: If 2 lines intersect to form congruent adjacent angles, then….
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…then the lines are perpendicular.
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Angle A is 30 degrees. Angle B is complementary to Angle A. Angle C is complementary to Angle B. Find the measure of Angle C.
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Answer: Angle C is 30 degrees.
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Angle A is 40 degrees. Angle B is complementary to Angle A. Angle C is supplementary to Angle B. Find the measure of Angle C.
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Answer: Angle C is 130 degrees. A= 40 => B= 50
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If and are supplementary, then
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The Definition of Supplementary Angles
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If then is a right angle.
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The Definition of Right Angle
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1 If is a right angle, then the lines are perpendicular.
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The Definition of Perpendicular lines.
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If and are complementary, and and are complementary, then
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Congruent Complements Theorem: If 2 angles are complementary to the same angle, they are congruent to each other.
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If and are complementary, then
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The Definition of Complementary Angles
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The Supplement Theorem: The angles in a _____ ____ are supplementary. x y Linear Pair
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_______ angles are congruent. Vertical
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COMPLETE: When 2 parallel lines are cut by a transversal... Corresponding Angles are congruent Alternate Interior Angles are congruent Alternate Exterior Angles are congruent Consecutive Interior Angles are supplementary
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COMPLETE: When 2 lines are cut by a transversal so that... Corresponding Angles are congruent Alternate Interior Angles are congruent Alternate Exterior Angles are congruent Consecutive Interior Angles are supplementary … Then the lines are parallel.
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+ = 180
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According to their definition, ____________ intersect to form right angles. Perpendicular lines
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What term describes the two lines? Parallel
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What term describes the two lines? Skew
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Identify the type of angles pictured
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Corresponding Angles
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Alternate Exterior Angles
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Consecutive Interior Angles
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Alternate Interior Angles
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Vertical Angles
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Corresponding Angles
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A Linear Pair
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r s p 1 6 2 34 5 78 The Perpendicular Transversal Converse Theorem
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1 6 2 34 5 78 Alternate Interior Angles Converse Theorem rsrs
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r s p 1 6 2 34 5 78 Consecutive Interior Angles Theorem
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r s p 1 6 2 34 5 78 Corresponding Angles Postulate
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r s p 1 6 2 34 5 78 The Supplement Theorem
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1 6 2 34 5 78 Alternate Exterior Angles Converse Theorem rsrs
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r s p 1 6 2 34 5 78 Vertical Angles Theorem
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r s p 1 6 2 34 5 78 Consecutive Interior Angles Converse Theorem
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r s p 1 6 2 34 5 78 Alternate Exterior Angles Theorem
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r s p 1 6 2 34 5 78 Corresponding Angles Converse Post.
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r s p 1 6 2 34 5 78 The Perpendicular Transversal Theorem
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Some Miscellaneous questions…
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Which 2 lines are parallel?
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Which 2 lines are perpendicular?
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What kind of line has a slope of zero? Horizontal
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Find the slope of the line containing the points (3,4) and (0,0):
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Find the slope of the line containing the points (0,4) and (0,0): Undefined
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Find the slope of the line containing the points (-2,5) and (0,0):
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r s p x 75 o =75 o
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r s p x =55 o 55 o
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x 65 o 115 o =
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r s p x 45 o =135 o
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r s t p 110 o 60 o 70 o Which lines are parallel?
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r s t p 110 o 60 o 70 o Which lines are parallel? 70 o
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Remember the “Key” to setting up equations in Geometry...
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You usually do one of 2 things… - Set two expressions equal to each other Or….
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-Add expressions together and set their sum equal to something else.
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Find x 3x o 6x o
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6x+3x=180 x=20 3x o 6x o
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(3x+10) o X o FIND X
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(3x+10) o X o 3x+10+x=90 4x=80 x=20 =70 =20
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7x+4 9x-12 Find x
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7x+4 9x-12 Find x 7x+4=9x-12 16=2x 8=x 60= = 60
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9x-12 Find x 10x+2 9.
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9x-12 Find x 10x+2 10x-2+9x-12=180 19x-10=180 19x=190 x=10 =102 =78
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What kind of triangle has sides of… 4 in., 6 in. and 3 in.? SCALENE
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What kind of triangle has Angles of… 90 o, 70 o, 20 o.? 90 o, 70 o, 20 o.? RIGHT
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What kind of triangle has sides of… 5 in., 5 in. and 3 in.? ISOSCELES
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What kind of triangle has Angles of… 50 o, 60 o, 70 o.? 50 o, 60 o, 70 o.? ACUTE
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What kind of triangle has Angles of… 60 o, 60 o, 60 o.? 60 o, 60 o, 60 o.? EQUIANGULAR
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What kind of triangle has Angles of… 150 o, 10 o, 20 o.? 150 o, 10 o, 20 o.? OBTUSE
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What kind of triangle has sides of… 5 in., 5 in. and 5 in.? EQUILATERAL
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What kind of triangle has Angles of… 150 o, 160 o, 170 o.? 150 o, 160 o, 170 o.? NO SUCH TRIANGLE
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What do we call the congruent sides of an Isosceles Triangle? The LEGS
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If ABC has a right angle at B, which side is the Hypotenuse?
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Which triangle is Impossible? EQUIANGULAR OBTUSE SCALENE ISOSCELES RIGHT EQUILATERAL ALL THREE!!
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Fill in the blank:
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When referring to angle 5, what do we call ? REMOTE INTERIOR ANGLES
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Fill in the blank:
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If this triangle is Equiangular:
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Set up the equation needed to solve the for x:
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Set up the equation needed to solve for x:
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Given the two triangles are congruent, complete the following:
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Which postulate, if any, could be used to prove the triangles are congruent? SAS
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Which postulate, if any, could be used to prove the triangles are congruent? SSS
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Which postulate, if any, could be used to prove the triangles are congruent? NONE
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ASA Which postulate, if any, could be used to prove the triangles are congruent?
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What additional information is needed to prove by SSS if you already Know:
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What additional information is needed to prove by SAS if you already Know:
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What additional information is needed to prove by ASA if you already Know:
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THE END
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