Segment Bisector in Coordinate Geometry, Assignments of Geometry

An introduction to the concept of a segment bisector in coordinate geometry. It includes definitions, examples, and formulas for finding the slope, midpoint, and distance between two points. Students will learn how to identify the segment bisector of a given segment and find its length.

Typology: Assignments

2021/2022

Uploaded on 08/01/2022

hal_s95
hal_s95 🇵🇭

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Geometry Name:______________________________
Lesson #4: Segment Bisector Period: ___
Coordinate Geometry: Midpoint, Distance and Slope
Definition:
Example:
Identify the segment bisector of
XY
and then find
XY
.
Coordinate Geometry Formulas:
Slope of
21
21
yy
AB xx
Midpoint of
:AB
1 2 1 2
,
22
x x y y



Distance between A and B:
22
2 1 2 1
AB x x y y
Examples:
AB
Find the midpoint of
AB
Find
AB
The midpoint of
JK
is
2,1M
. One endpoint is
1,4J
.
Find the coordinates of endpoint K.
A segment bisector is an object that
intersects a segment at its
_____________________.
___
_

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Geometry Name:______________________________

Lesson #4: Segment Bisector Period: ___

Coordinate Geometry: Midpoint, Distance and Slope

Definition :

Example:

Identify the segment bisector of XY and then find XY.

Coordinate Geometry Formulas:

Slope of

2 1

2 1

y y AB x x

Midpoint of AB :

1 2 1 2 , 2 2

^ x^ ^ x^ y^  y     

Distance between A and B :    

2 2 ABx 2 (^)  x 1 (^)  y 2 (^)  y 1

Examples:

Find the slope of AB Find the midpoint of AB

Find AB The midpoint of JK is M  2,1. One endpoint is J  1, 4.

Find the coordinates of endpoint K.

A segment bisector is an object that

intersects a segment at its

_____________________. ___

_