1. Bellwork: Find the length of the segments
A 3x x-12

2. Homework Questions?

3. 1.7-Midpoint and Distance

4. Announcements
Incentives
Honors

5. Group Work
Each group will get a single copy of the Midpoint exploration
Group members will work together to answer all questions
Both group members must contribute
Raise your hand if you’re stuck or have questions!

6. ( 𝑎+𝑐 2 , 𝑏+𝑑 2 ) Finding Midpoint
The midpoint of a 2-Dimensional line segment with endpoints (a,b) and (c,d) can be found using the formula
( 𝑎+𝑐 2 , 𝑏+𝑑 2 )

7. Examples

10. Finding endpoint, given one endpoint and the midpoint

11. Finding Distance In 1-Dimension, distance was calculated as 𝑏−𝑎
In 2-Dimensions, distance is given by d= (𝑥 2 − 𝑥 1 ) 2 + (𝑦 2 − 𝑦 1 ) 2

12. Example
What is the distance between (0,3) and (0,8)?

13. Find the distances below

14. Finding distance given a line segment

16. Midpoint and Distance worksheet
Homework:
Midpoint and Distance worksheet
Study for Quiz on Wednesday