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Geometry Lesson 5.4.

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Presentation on theme: "Geometry Lesson 5.4."— Presentation transcript:

1 Geometry Lesson 5.4

2 Take out your notes We are going to do Section 5.4

3 What is a median? Connects a midpoint to the opposite vertex

4 What is a midsegment? Connects two midpoints

5 Find the midpoint of side AB
(-3, 0) (1, 2) (-1, -1) (-1, 1) (-2, 1) (-2, -1) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

6 Find the midpoint of side AC
(1, 2) (3, -2) (2, 2) (0, 2) (2, 0) None of the above 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

7 Find the midpoint of side BC
(-3, 0) (3, -2) (2, -1) (1, 0) (0, 1) None of the above 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

8 What name would you give to seg EF?
Median Midsegment Perp. Bisector Angle Bisector Altitude 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

9 What is the length of seg AB?
1 2 3 4 5 6 None of the above 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

10 What is the length of seg EF?
1 1.5 2 2.5 3 3.5 None of the above 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

11 What is the length of AC? 5 8 2.8 10 None of the above 1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

12 What is the length of midsegment DF?
5 8 2.8 10 None of the above 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

13 What is the slope of AC? 4/3 3/4 -3/4 None of the above 1 2 3 4 5 6 7
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

14 What is the slope of DF? 4/3 3/4 -3/4 None of the above 1 2 3 4 5 6 7
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

15 When slopes of two lines are equal, then the two lines are _______.
Skew Intersecting Perpendicular Parallel 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

16 Theorem 5.9 – Midsegment Theorem
A midsegment is half the length of and parallel to the opposite side.

17 Given that midsegment DE = 3.5, determine BC
7 3.5 6.5 1.75 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

18 Given that BC = 12, determine DE
24 12 6 3 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

19 Given that the slope of line AB is 2/3, determine the slope of line EF
3/2 2/3 -3/2 -2/3 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30


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