# 1A B C1A B C 2A B C2A B C 3A B C3A B C 4A B C4A B C 5A B C5A B C 6A B C6A B C 7A B C7A B C 8A B C8A B C 9A B C9A B C 10 AA B CBC 11 AA B CBC 12 AA B CBC

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• Slide 1
• Slide 2
• 1A B C1A B C 2A B C2A B C 3A B C3A B C 4A B C4A B C 5A B C5A B C 6A B C6A B C 7A B C7A B C 8A B C8A B C 9A B C9A B C 10 AA B CBC 11 AA B CBC 12 AA B CBC 13 AA B CBC 14 AA B CBC 15 AA B CBC 16 AA B CBC 17 AA B CBC 18 AA B CBC 19 AA B CBC 20 AA B CBC 21 AA B CBC 22 AA B CBC 23 AA B CBC 24 AA B CBC 25 AA B CBC 26 AA B CBC 27 AA B CBC 28 AA B CBC 29 AA B CBC 30 AA B CBC 31 AA B CBC 32 AA B CBC 33 AA B CBC 34 AA B CBC 35 AA B CBC 36 AA B CBC 37 AA B CBC 38 AA B CBC 39 AA B CBC 40 AA B CBC 41 AA B CBC 42 AA B CBC 43 AA B CBC 44 AA B CBC 45 AA B CBC 46 AA B CBC 47 AA B CBC 48 AA B CBC 49 AA B CBC 50 AA B CBC 51 AA B CBC 52 AA B CBC 53 AA B CBC 54 AA B CBC 55 AA B CBC 56 AA B CBC 57 AA B CBC 58 AA B CBC 59 AA B CBC 60 AA B CBC 61 AA B CBC 62 AA B CBC 63 AA B CBC 64 AA B CBC by Jenny Paden, jenny.paden@fpsmail.org
• Slide 3
• 1A Draw segment AB and ray CD A B C D
• Slide 4
• 1B Name a four coplanar points Points A, B, C, D
• Slide 5
• 1C Name a pair of opposite rays: CB and CD
• Slide 6
• 2A M is the midpoint of, PM = 2x + 5 and MR = 4x 7. Solve for x. x = 6
• Slide 7
• 2B Solve for x x = 3 3x4x + 8 29
• Slide 8
• 2C E, F and G represent mile markers along a straight highway. Find EF. E 6x 4 F 3x G 5x + 8 EF = 14
• Slide 9
• 3A L is in the interior of JKM. Find m JKM if m JKL = 32 and m LKM = 47 o. m JKM = 79 o
• Slide 10
• 3B bisects ABC, m ABD = (4x - 3), and m DBC = (2x + 7). Find m ABD. m ABD = 17
• Slide 11
• 3C bisects PQR, m PQS = (2y + 1), and m PQR = (y + 12). Find y. y = 10/3 = 3.3
• Slide 12
• 4A Angles 1 and 2 are called: A. Vertical Angles B. Adjacent Angles C. Linear Pair D. Complementary Angles B. Adjacent Angles 1 2
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• 4B Angles 1 and 2 are called: A. Vertical Angles B. Adjacent Angles C. Linear Pair D. Complementary Angles A. Vertical Angles 1 2
• Slide 14
• 4C Angles 1 and 2 are: A. Adjacent B. Linear Pair C. Adjacent and Linear Pair D. Neither C. Adjacent and Linear Pair 1 2
• Slide 15
• 5A The supplement of a 84 o angle is _____ o 96 o
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• 5B The complement of a 84 o angle is _____ o 6o6o
• Slide 17
• 5C Find the complement of the angle above. 52.8 o 37.2 o
• Slide 18
• 6A Find the perimeter and area of a square with side length of 5 inches Perimeter: 20 inches Area: 25 inches 2
• Slide 19
• 6B What is the perimeter and area of the triangle above? Perimeter = 32 Area = 36 14 12 6
• Slide 20
• 6C Find the circumference and area of a circle with a diameter of 10. Round your answer to the nearest tenth. Circumference: 31.4 Area: 78.5
• Slide 21
• 7A State the Distance Formula
• Slide 22
• 7B Find the distance of (-1, 1) and (-3, -4)
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• 7C Find the length of FG Answer: 5
• Slide 24
• 8A Find the midpoint of (-4, 1) and (2, 9) (-1, 5)
• Slide 25
• 8B Find the midpoint of (3, 2) and (-1, 4) (1,3)
• Slide 26
• 8C Find the midpoint of (6, -3) and (10, -9) (8, -6)
• Slide 27
• 9A and are called _____ lines: A. Perpendicular B. Parallel C. Skew D. Coplanar Answer: C. Skew
• Slide 28
• 9B BF and FJ are _______. A. Perpendicular B. Parallel C. Skew A. Perpendicular
• Slide 29
• 9C BF and EJ are _______. A. Perpendicular B. Parallel C. Skew B. Parallel
• Slide 30
• 10A 1 and 2 are called _____ angles. A. Alternate Interior B. Corresponding C. Alternate Exterior D. Same Side Interior. B. Corr. 2 1
• Slide 31
• 10B Find x. x = 132 o 48 x
• Slide 32
• 10C Find the measure of each angle. 1 = 115 o, 2 = 115 o 3 = 148 o, 4 = 148 o
• Slide 33
• 11A Find x. x = 22
• Slide 34
• 11B Find x. x = 15 4x + 20 6x +10
• Slide 35
• 11C Find x. x = 5 4x + 20 6x +10
• Slide 36
• 12A Given line segment XY, what construction is shown: Perpendicular Bisector
• Slide 37
• 12B a)Name the shortest segment from A to CB b)Write an inequality for x. a) AP b) x > 20
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• 12C a) Name the shortest segment from A to CB b) Write an inequality for x. a) AB b) x < 17
• Slide 39
• 13A Classify the triangle by its angles AND sides. Acute isocseles
• Slide 40
• 13B Classify the triangle by its angles AND sides. Equilateral and Equiangular (or Acute)
• Slide 41
• 13C Classify the triangle by its angles AND sides. Obtuse Isosceles 120 30
• Slide 42
• 14A Find y. y = 7
• Slide 43
• 14B A manufacturer produces musical triangles by bending steal into the shape of an equilateral triangle. How many 3 inch triangles can the manufacturer produce from a 100 inch piece of steel? 11 Triangles
• Slide 44
• 14C Find the length of JL. JL = 44.5
• Slide 45
• 15A Find x. x = 29 115 36 x
• Slide 46
• 15B Find x. x = 74 47 27 x
• Slide 47
• 15C Find x. x = 22 4x + 10 5x - 60 x + 10
• Slide 48
• 16A Triangles Find x. 2x + 3 = 47 2x = 44 x = 22 47 o 2x +3 43 o A BC D E F
• Slide 49
• 16B The triangles are congruent. Find x. x = 4
• Slide 50
• 16C Find y. y = 64 o
• Slide 51
• 17A Name the five Shortcuts to Proving Triangles are Congruent. SSS, SAS, ASA, AAS, and HL
• Slide 52
• 17B Are the triangles congruent? If so, state the congruence theorem to explain why triangles are congruent. Yes, AAS
• Slide 53
• 17C Are the triangles congruent? If so, state the congruence theorem to explain why triangles are congruent. Yes, SSS
• Slide 54
• 18A What does CPCTC stand for? Corresponding Parts of Congruent Triangles are Congruent
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• 18B Yes, CPCTC
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• 18C Given the triangles, is A P? Yes, CPCTC
• Slide 57
• 19A Find x x = 70 o
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• 19B Find x. x = 72 o
• Slide 59
• 19C Find x. x = 14
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• 20A Which Property of Equality is shown here? 2x + 3 = 10 2x = 7 Subtraction Property of Equality
• Slide 61
• 20B Which Property of Equality is shown here? 2x = 10 x = 5 Division Property of Equality
• Slide 62
• 20C Write a two column Proof for the following Algebra Equation. 3(t 5) = 39 StatementsReasons 1. 3(t-5)=39 1. Given 2. 3t 15 = 39 2. Distributive 3. 3t = 543. Addition Prop. Of Equal. 4. t = 18 4. Division Prop. Of Equal.
• Slide 63
• 21A Identify the property that justifies the following statement. Reflexive Property of Congruence
• Slide 64
• 21B Identify the property that justifies the following statement. Transitive Property of Equality and. So
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• 21C a = b, so b = a Symmetric Property of Equality
• Slide 66
• Given: Prove: Statements Reason 1. 1. Given 2. 2. Reflexive 3. 3. AAS 4. 22A Complete the following proof CPCTC
• Slide 67
• Given: B is the midpoint of Prove: Statements Reasons 1. B is the midpoint of 1. Given 2. 3. 3. Reflexive 4. 4. Given 5. 5. SSS 22B Complete the following proof A B C D Def of Midpoint
• Slide 68
• 22C Type answer here Given: W is the midpnt of, Prove: Statements Reasons 1. W is the midpnt of 1. Given 2. 2. Def of Midpoint 3. 3. Given 4. 4. Reflexive 5. 5. SSS 6. 6. CPCTC Complete the missing statements.
• Slide 69
• 23A Find x and UT x = 6.5, UT = 28.5
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• 23B Find a and a = 6, = 38 o
• Slide 71
• 23C Fill in the Blank. The Perpendicular Bisector Theorem If a point is on the perpendicular bisector of a segment, then it is __________ from the endpoints of the segment. Equidistant
• Slide 72
• 24A Find GC. 13.4
• Slide 73
• 24B Find GM. 14.5
• Slide 74
• 24C Segments QX and RX are angle bisectors. Find the distance from x to PQ 19.2
• Slide 75
• 25A Fill in the blank. A _____________ of a triangle is a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side. A.Altitude B.Median C.Angle Bisector D.Perpendicular Bisector Median
• Slide 76
• 25B In LMN, S is the Centroid of the triangle. RL = 21 and SQ =4. Find LS. LS = 14
• Slide 77
• 25C Z is the Centorid of the triangle. In JKL, ZW = 7, and LX = 8.1. Find KW. KW = 21 1 1
• Slide 78