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Introduction to distance and

midpoint

Video Why math is important

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!!!