Lesson 1 3 Use Distance and Midpoint Formulas

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Lesson 1 -3: Use Distance and Midpoint Formulas

Lesson 1 -3: Use Distance and Midpoint Formulas

Midpoints and Bisectors: • The midpoint of a segment is the point that divides

Midpoints and Bisectors: • The midpoint of a segment is the point that divides the segment into two congruent segments. • A segment bisector is a point, ray, line segment, or plane that intersects the segment at its midpoint.

In the skateboard design, bisects point T, and XT = 39. 9 cm. Find

In the skateboard design, bisects point T, and XT = 39. 9 cm. Find XY. at

Line n bisects the segment. Find the n indicated length. D E n A

Line n bisects the segment. Find the n indicated length. D E n A B Find AB if BC = 5/8 cm C Find DF if EF= 9 ½ m F

n A B C Find AB if AC = 21 inches

n A B C Find AB if AC = 21 inches

Point M is the midpoint of of. . Find the length

Point M is the midpoint of of. . Find the length

Identify the segment bisector of Then find PQ. 14 .

Identify the segment bisector of Then find PQ. 14 .

w A x + 20 M Find AC 5 x - 4 C

w A x + 20 M Find AC 5 x - 4 C

The Midpoint Formula: If A(x 1, y 1) and B(x 2, y 2) are

The Midpoint Formula: If A(x 1, y 1) and B(x 2, y 2) are points in a coordinate plane, then the midpoint M of has coordinates Midpoint (M) =

Ex: The endpoints of RS are R(1, -3) and S(4, 2). Find the coordinates

Ex: The endpoints of RS are R(1, -3) and S(4, 2). Find the coordinates of the midpoint M. Ex: The endpoints of GH are G(7, -2) and H(-5, -6). Find the coordinates of the midpoint P.

Ex: The midpoint of JK is M(2, 1). One endpoint is J(1, 4). Find

Ex: The midpoint of JK is M(2, 1). One endpoint is J(1, 4). Find the coordinates of endpoint K.

Ex: The midpoint of AB is M(5, 8). One endpoint is A(2, -3). Find

Ex: The midpoint of AB is M(5, 8). One endpoint is A(2, -3). Find the coordinates of endpoint B.

Ex: The midpoint of AB is M(3, -4). One endpoint is A(-4, -6). Find

Ex: The midpoint of AB is M(3, -4). One endpoint is A(-4, -6). Find the coordinates of endpoint B.

Distance Formula: • To find the distance between two points, you will always use

Distance Formula: • To find the distance between two points, you will always use the Distance Formula. • The Distance Formula: If A(x 1, y 1) and B(x 2, y 2) are points in a coordinate plane, then the distance between A and B is distance (d) =

Ex: What is the approximate length of RS with endpoints R(2, 3) and S(4,

Ex: What is the approximate length of RS with endpoints R(2, 3) and S(4, -1)? Round to the nearest tenth of a unit.

Ex: What is the approximate length of AB with endpoints A(-3, 2) and B(1,

Ex: What is the approximate length of AB with endpoints A(-3, 2) and B(1, -4)? Round to the nearest tenth of a unit.

Find the length of the segment. Round to the nearest tenth of a unit.

Find the length of the segment. Round to the nearest tenth of a unit.

The endpoints of two segments are given. Find each segment length. Tell whether the

The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent. AB: A(-4, 0), K(4, 8) CD: C(-4, 2), D(3, -7)

Homework! Pgs 19 -21 #1, 3 -20 all, 26 -34 even, 43 -45, 48,

Homework! Pgs 19 -21 #1, 3 -20 all, 26 -34 even, 43 -45, 48, 49