Bellwork: Find the length of the segments A 3x+9 5x-12
Homework Questions?
1.7-Midpoint and Distance
Announcements Incentives Honors
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!
( 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 )
Examples
Finding endpoint, given one endpoint and the midpoint
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
Example What is the distance between (0,3) and (0,8)?
Find the distances below
Finding distance given a line segment
Midpoint and Distance worksheet Homework: Midpoint and Distance worksheet Study for Quiz on Wednesday