Geometry Lesson 5.4.

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Presentation transcript:

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) 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

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

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

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

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

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

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

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

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

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

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

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 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

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

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