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Geometry. Lesson 5.4. Take out your notes. We are going to do Section 5.4. What is a median?. Connects a midpoint to the opposite vertex. What is a midsegment?. Connects two midpoints. Find the midpoint of side AB. (-3, 0) (1, 2) (-1, -1) (-1, 1) (-2, 1) (-2, -1). - PowerPoint PPT Presentation
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Geometry
Lesson 5.4
Take out your notes
• We are going to do Section 5.4
What is a median?
• Connects a midpoint to the opposite vertex
What is a midsegment?
• Connects two midpoints
Find the midpoint of side AB
1 2 3 4 5 6
0% 0% 0%0%0%0%
1. (-3, 0)2. (1, 2)3. (-1, -1)4. (-1, 1)5. (-2, 1)6. (-2, -1)
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Find the midpoint of side AC
1 2 3 4 5 6
0% 0% 0%0%0%0%
1. (1, 2)2. (3, -2)3. (2, 2)4. (0, 2)5. (2, 0)6. None of the above
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Find the midpoint of side BC
1 2 3 4 5 6
0% 0% 0%0%0%0%
1. (-3, 0)2. (3, -2)3. (2, -1)4. (1, 0)5. (0, 1)6. None of the above
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What name would you give to seg EF?
1 2 3 4 5
0% 0% 0%0%0%
1. Median2. Midsegment3. Perp. Bisector4. Angle Bisector5. Altitude
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What is the length of seg AB?
1 2 3 4 5 6 7
0% 0% 0% 0%0%0%0%
1. 12. 23. 34. 45. 56. 67. None of the above
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What is the length of seg EF?
1 2. 3 4. 5 6. 7
0% 0% 0% 0%0%0%0%
1. 12. 1.53. 24. 2.55. 36. 3.57. None of the above
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What is the length of AC?
1 2 3. 4 5
0% 0% 0%0%0%
1. 52. 83. 2.84. 105. None of the above
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What is the length of midsegment DF?
1 2 3. 4 5
0% 0% 0%0%0%
1. 52. 83. 2.84. 105. None of the above
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What is the slope of AC?
1 2 3 4 5
0% 0% 0%0%0%
1. 4/32. 3/43. -3/44. 4/35. None of the above
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What is the slope of DF?
1 2 3 4 5
0% 0% 0%0%0%
1. 4/32. 3/43. -3/44. 4/35. None of the above
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When slopes of two lines are equal, then the two lines are _______.
1 2 3 4
0% 0%0%0%
1. Skew2. Intersecting3. Perpendicular4. Parallel
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Theorem 5.9 – Midsegment Theorem
• A midsegment is half the length of and parallel to the opposite side.
Given that midsegment DE = 3.5, determine BC
1 2. 3. 4.
0% 0%0%0%
1. 72. 3.53. 6.54. 1.75
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Given that BC = 12, determine DE
1 2 3 4
0% 0%0%0%
1. 242. 123. 64. 3
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Given that the slope of line AB is 2/3, determine the slope of line EF
1 2 3 4
0% 0%0%0%
1. 3/22. 2/33. -3/24. -2/3
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