1. Welcome to Interactive Chalkboard
1.3 Distance and Midpoints
Learning Goals:
Students will compute segment lengths using midpoints and segment bisectors.
Students will use the Midpoint Formula to find the midpoint of a line segment.
Students will use the Distance Formula or Pythagorean Theorem to find the distance of a line segment.

2. Number Line & Coordinate Plane
PQ = I b – a I or I a – b I
Coordinate Plane
The distance d between two points with coordinates 𝑥 1 , 𝑦 1 & 𝑥 2 , 𝑦 2 is given by
d = 𝑥 1 − 𝑥 𝑦 1 − 𝑦 2 2

3. Use the number line to find QR.
Example 1:
Use the number line to find QR.
Use the number line to find AX.
Example 3-1a

4. Example 2:
A. Find the distance between (-4,1) & (3,-1) using distance formula
B. Find the distance.
Example 3-2c

5. Midpoint Segment Bisector
The midpoint of a segment is the point halfway between the endpoints of the segment.
Coordinate Plane
𝑀= 𝑥 1 + 𝑥 2 2 , 𝑦 1 + 𝑦 2 2
Segment Bisector
Any segment, line, or plane that intersects a segment at its midpoint is called a segment bisector.

6. Example 3:
Find the coordinates of M, the midpoint of , for G(8, –6) and H(–14, 12).
Find the coordinates of the midpoint of for X(–2, 3) and Y(–8, –9).
Example 3-3b

7. Example 4:
Find the coordinates of D if E(–6, 4) is the midpoint of and F has coordinates (–5, –3).
Example 5:
If 𝑅𝑇 is a segment bisector, find the measure of 𝐶𝑂 . R
5x -3
11-2x C O T
Example 3-4a

8. Homework Pg
#7-9, 15, 17, 19, 21, 23-28
GRAPH Paper located on table in yellow file holder