Loading presentation...

Present Remotely

Send the link below via email or IM

Copy

Present to your audience

Start remote presentation

  • Invited audience members will follow you as you navigate and present
  • People invited to a presentation do not need a Prezi account
  • This link expires 10 minutes after you close the presentation
  • A maximum of 30 users can follow your presentation
  • Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

DeleteCancel

Partitioning A Segment

No description
by

Lori Winkleman

on 8 October 2017

Comments (0)

Please log in to add your comment.

Report abuse

Transcript of Partitioning A Segment

Using Slope to Partition A Segment
Ratio
A ratio is a comparison of two quantities.
Find the coordinates of the point P that lies along the directed line segment from
A
(3, 4) to
B
(6, 10) and partitions the segment in the ratio 3 to 2.
The Challenge
Can you find the point on a line segment that partitions the segment into a given ratio?
Step 2: Determine Delta of x and y
Step 1: Convert the Ratio
The ratio of
a
to
b
can be expressed as:
What is the ratio of...
Stars to hearts?
Hearts to stars?
Stars to total shapes?
Hearts to total shapes?
In a coordinate plane, slope is the ratio of
rise
to
run
.
Slope of a Straight Line
a
:
b

or

a
b
Step 3: Determine Increase in x and y
Step 4: Calculate the Location of Point P
To determine how much to increase
x
and
y
, the delta of
x
and the delta of
y
must each be multiplied by the converted ratio.
The last step is to add the amount of change in
x
and
y
determined in Step 3 to the original
x
and
y
value of the first endpoint.
Step 1:
Convert the ratio
Step 2:
Determine delta of
x
and
y
Step 3:
Determine the increase in
x
and
y

Step 4:
Calculate the new point
Steps for Partitioning a Segment
The Problem
The ratio of 3 to 2 must be first converted into a percent
numerator
numerator + denominator
3
3 + 2
3
5
=
=
Remember, delta is the change or difference in values. You will need to find the delta of
x
and the delta of
y
separately.
x
= 6 - 3 = 3
A directed line segment is a line segment that has a direction associated with it. It moves from one endpoint to the other.
Original Coordinates:
A
(3, 4) to
B
(6, 10)
Original Coordinates:
A
(3, 4) to
B
(6, 10)
y
= 10 - 4 = 6
The triangle is the symbol used to represent delta.
y

Increase in
y
:
3
5
converted ratio
6
=
18
5
= 3.6
x

Increase in
x
:
3
5
converted ratio
3
=
9
5
= 1.8
x
value for Point P
3 + 1.8 = 4.8
Starting
x
value
Increase in
x
+
y
value for Point P
4 + 3.6 = 7.6
Starting
y
value
Increase in
y
+
Coordinates of Point P
The directed line segment from
A
(3, 4) to
B
(6, 10) is partitioned at the ratio of 3 to 2 at point
P
(4.8, 7.6)
.
Full transcript