Page 2. Midpoint Formula Coordinates of the midpoint: M = The midpoint is the average of the x’s and the average of the y’s New Vocabulary: Abscissa –

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Presentation transcript:

Page 2

Midpoint Formula Coordinates of the midpoint: M = The midpoint is the average of the x’s and the average of the y’s New Vocabulary: Abscissa – the x value of an ordered pair Ordinate – the y value of an ordered pair

Midpoint Formula Given: A(3,4) and B(-7,6), find the coordinates of midpoint M Down 2 Right 10 Down 1 Right 5 How would you get to the midpoint?

1. Find the coordinates of the midpoint of the line segment that joins each of the following pairs of points. (algebraically only) a) (6,8), (4,10) k) (5c,2c), (c,8c)

2. Find the abscissa of the midpoint of the line segment whose endpoints are: a) (4,8), (10,12) b) (6,-6), (12,-4)

b) (8,-8), (14,-4) c) (6,-4), (-9,1) 3. Find the ordinate of the midpoint of the line segment whose endpoints are:

a) A(4,3), M(4,9) B (4,15)

C) A(2,6), M(0,3) B(-2,0) Graphically B(-2,0) M Algebraically

e) A(5,-1), M(-1,1) B (-7,3) M Graphically B(-7,3) Algebraically

C) A(-4,6), B(6,10) Algebraically C(16,14) Optional Check

Homework Page 2 #4a,b,6a,7

a) A(3,4), B(7,8) P(5,6)

b) A(-5,-2), B(3,7) P(-1,2.5)

a) A(0,0), B(10,0) C(7,5), D(3,5) Down 5 Left 3 Down 5 Right 3

b) P(-3,3), Q(11,3) R(7,7), S(1,7)

1. Graph segment AB with endpoints A(-4,-3) and B(4,-7). A)Find the distance to the nearest tenth. B)Find the midpoint of AB 2. Given endpoint A (-3,5) and midpoint M(0,3), find the coordinates of the other endpoint B APPLIED QUIZ