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Introduction to distance and
midpoint
Bellringer
W
XY
Z
2 ft
1 ft
3 ft
Point R is contained in WZ. What is the probability that R is contained in YZ?
You can study sections 1.1-1.3 in your textbook
Your first TEST will be
next Friday, August 31st!!
CGT.5.G.1
Objective: I will use formulas to find the distance between two points on a coordinate plane and the midpoint of a segment
Distance and Midpoints
Distance and Midpoint on a number line
To find the distance between two points on a number line, take the absolute value of their difference.
Distance on a number line
A B
AB= ∣ -4 - 1∣ = ∣-5∣=5
AB is 5 units
To find the midpoint between two points on a number line, average the coordinates of the two points.
Midpoint on a number line
A B
The midpoint of AB is (-4+1)/2=-3/2=-1.5
The Distance Formula
Given the two points (x1, y1) and (x2, y2), the distance between these points is given by the formula:
Use the distance formula to find the distance between S(-3,2) and T(6,5)
Given the two points (x1, y1) and (x2, y2), the midpoint between these points is given by
the formula:
The midpoint formula
X(-4,3) Y(-1,5)
Find the coordinates of the midpoint of a segment having the given endpoints
Point M is the midpoint of AB. What is the value of x in the figure?
A(4,6)
M(7,8)
B(2x,2x)
Find the coordinates of the missing endpoint given that S is the midpoint of RT
T(-4,3),S(-1,5)
Find the coordinates of the missing endpoint given that S is the midpoint of RT
T(2,5),S(-2,2)
Show all work. This will be graded!!!You will be given a set of points and a
coordinate plane.Follow the directions completely for full
credit.
Triangle Activity
PRACTICE PROBLEMS
TEST Wednesday!!!
