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
  • Slide 13
  • 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
  • Slide 16
  • 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)
  • Slide 23
  • 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
  • Slide 38
  • 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
  • Slide 55
  • 18B Yes, CPCTC
  • Slide 56
  • 18C Given the triangles, is A P? Yes, CPCTC
  • Slide 57
  • 19A Find x x = 70 o
  • Slide 58
  • 19B Find x. x = 72 o
  • Slide 59
  • 19C Find x. x = 14
  • Slide 60
  • 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
  • Slide 65
  • 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
  • Slide 70
  • 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