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Go To The Head of the Class-- Review Game. Rules: A question starts with a player. If that player answers correctly he/she keeps his/her seat.

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Presentation on theme: "Go To The Head of the Class-- Review Game. Rules: A question starts with a player. If that player answers correctly he/she keeps his/her seat."— Presentation transcript:

1 Go To The Head of the Class-- Review Game

2 Rules: A question starts with a player. If that player answers correctly he/she keeps his/her seat.

3 If the player misses, then the question goes to the next player. If missed, it goes to the next player...

4 …and continues until someone gets it correct. That student moves to the seat where the question started...

5 …and everyone who missed the question moves back one seat.

6 The object of the game is to occupy and keep the #1 seat.

7 Questions with a limited number of possible responses will not be offered indefinitely. A substitute question will be posed.

8 It is important to listen to previous responses. They will not be repeated for you.

9 The first person to receive a question will have a maximum of 30 seconds to answer.

10 Every person after that has only 10 seconds to reply. Be ready when called upon.

11 If the question is on a yellow screen, expect to solve a problem. Have calculator, paper & pencil ready.

12 If the background is orange, name the definition, property, theorem, etc, that supports the given conclusion.

13 If the question is on a green screen, it requires just a short answer.

14 Time to Play:

15 READY? (begin)

16 1 2 Then

17 The Supplement Theorem (The angles in a linear pair are supplementary.)

18 1 2 Then

19 The Vertical Angles Theorem: Vertical Angles are congruent.

20 If and are right angles, then

21 The Right Angle Theorem: All Right angles are congruent.

22 Two angles are complementary. One is 32 degrees. What is the measure of the other one?

23 ANSWER: 58 degrees

24 What do we call 2 non-adjacent angles that are formed when 2 lines intersect?

25 Answer: Vertical Angles

26 Two angles are supplementary. One angle is 73 degrees, find the measure of the other one.

27 Answer: 107 degrees

28 What do we call 2 lines that intersect to form right angles?

29 Answer: Perpendicular Lines

30 Complete this theorem: If 2 angles are complementary to the same angle…...

31 Answer: … then they are congruent to each other.

32 Remember the “Key” to setting up equations in Geometry...

33 You usually do one of 2 things… - Set two expressions equal to each other Or….

34 -Add expressions together and set their sum equal to something else.

35 8x+25 4x -1 Find x

36 Answer: 8x+25 + 4x - 1 = 180 12x+24=180 12x=156 x=13

37 7x-10 5x+12 Find x

38 Answer: 7x-10 = 5x + 12 2x-10 = 12 2x = 22 x = 11

39 According to the Supplement Theorem, what kind of angles are supplementary?

40 Answer: The angles in a Linear Pair

41 Complete this Theorem: If 2 lines intersect to form congruent adjacent angles, then….

42 …then the lines are perpendicular.

43 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.

44 Answer: Angle C is 30 degrees.

45 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.

46 Answer: Angle C is 130 degrees. A= 40 => B= 50

47 If and are supplementary, then

48 The Definition of Supplementary Angles

49 If then is a right angle.

50 The Definition of Right Angle

51 1 If is a right angle, then the lines are perpendicular.

52 The Definition of Perpendicular lines.

53 If and are complementary, and and are complementary, then

54 Congruent Complements Theorem: If 2 angles are complementary to the same angle, they are congruent to each other.

55 If and are complementary, then

56 The Definition of Complementary Angles

57 The Supplement Theorem: The angles in a _____ ____ are supplementary. x y Linear Pair

58 _______ angles are congruent. Vertical

59 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

60 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.

61 + = 180

62 According to their definition, ____________ intersect to form right angles. Perpendicular lines

63 What term describes the two lines? Parallel

64 What term describes the two lines? Skew

65 Identify the type of angles pictured

66 Corresponding Angles

67 Alternate Exterior Angles

68 Consecutive Interior Angles

69 Alternate Interior Angles

70 Vertical Angles

71 Corresponding Angles

72 A Linear Pair

73 r s p 1 6 2 34 5 78 The Perpendicular Transversal Converse Theorem

74 1 6 2 34 5 78 Alternate Interior Angles Converse Theorem rsrs

75 r s p 1 6 2 34 5 78 Consecutive Interior Angles Theorem

76 r s p 1 6 2 34 5 78 Corresponding Angles Postulate

77 r s p 1 6 2 34 5 78 The Supplement Theorem

78 1 6 2 34 5 78 Alternate Exterior Angles Converse Theorem rsrs

79 r s p 1 6 2 34 5 78 Vertical Angles Theorem

80 r s p 1 6 2 34 5 78 Consecutive Interior Angles Converse Theorem

81 r s p 1 6 2 34 5 78 Alternate Exterior Angles Theorem

82 r s p 1 6 2 34 5 78 Corresponding Angles Converse Post.

83 r s p 1 6 2 34 5 78 The Perpendicular Transversal Theorem

84 Some Miscellaneous questions…

85 Which 2 lines are parallel?

86 Which 2 lines are perpendicular?

87 What kind of line has a slope of zero? Horizontal

88 Find the slope of the line containing the points (3,4) and (0,0):

89 Find the slope of the line containing the points (0,4) and (0,0): Undefined

90 Find the slope of the line containing the points (-2,5) and (0,0):

91 r s p x 75 o =75 o

92 r s p x =55 o 55 o

93 x 65 o 115 o =

94 r s p x 45 o =135 o

95 r s t p 110 o 60 o 70 o Which lines are parallel?

96 r s t p 110 o 60 o 70 o Which lines are parallel? 70 o

97 Remember the “Key” to setting up equations in Geometry...

98 You usually do one of 2 things… - Set two expressions equal to each other Or….

99 -Add expressions together and set their sum equal to something else.

100 Find x 3x o 6x o

101 6x+3x=180 x=20 3x o 6x o

102 (3x+10) o X o FIND X

103 (3x+10) o X o 3x+10+x=90 4x=80 x=20 =70 =20

104 7x+4 9x-12 Find x

105 7x+4 9x-12 Find x 7x+4=9x-12 16=2x 8=x 60= = 60

106 9x-12 Find x 10x+2 9.

107 9x-12 Find x 10x+2 10x-2+9x-12=180 19x-10=180 19x=190 x=10 =102 =78

108 What kind of triangle has sides of… 4 in., 6 in. and 3 in.? SCALENE

109 What kind of triangle has Angles of… 90 o, 70 o, 20 o.? 90 o, 70 o, 20 o.? RIGHT

110 What kind of triangle has sides of… 5 in., 5 in. and 3 in.? ISOSCELES

111 What kind of triangle has Angles of… 50 o, 60 o, 70 o.? 50 o, 60 o, 70 o.? ACUTE

112 What kind of triangle has Angles of… 60 o, 60 o, 60 o.? 60 o, 60 o, 60 o.? EQUIANGULAR

113 What kind of triangle has Angles of… 150 o, 10 o, 20 o.? 150 o, 10 o, 20 o.? OBTUSE

114 What kind of triangle has sides of… 5 in., 5 in. and 5 in.? EQUILATERAL

115 What kind of triangle has Angles of… 150 o, 160 o, 170 o.? 150 o, 160 o, 170 o.? NO SUCH TRIANGLE

116 What do we call the congruent sides of an Isosceles Triangle? The LEGS

117 If  ABC has a right angle at B, which side is the Hypotenuse?

118 Which triangle is Impossible? EQUIANGULAR OBTUSE SCALENE ISOSCELES RIGHT EQUILATERAL ALL THREE!!

119 Fill in the blank:

120

121

122

123 When referring to angle 5, what do we call ? REMOTE INTERIOR ANGLES

124 Fill in the blank:

125 If this triangle is Equiangular:

126

127 Set up the equation needed to solve the for x:

128 Set up the equation needed to solve for x:

129

130

131 Given the two triangles are congruent, complete the following:

132 Which postulate, if any, could be used to prove the triangles are congruent? SAS

133 Which postulate, if any, could be used to prove the triangles are congruent? SSS

134 Which postulate, if any, could be used to prove the triangles are congruent? NONE

135 ASA Which postulate, if any, could be used to prove the triangles are congruent?

136 What additional information is needed to prove by SSS if you already Know:

137 What additional information is needed to prove by SAS if you already Know:

138 What additional information is needed to prove by ASA if you already Know:

139 THE END


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