on a Coordinate Plane Using Quadrant Signs amp Absolute Value Know the Signs of Each Quadrant 5 4 3 2 1 S ame Means S ubtract If two coordinate points are in the same quadrant then you need to subtract the absolute value of the numbers that are diff ID: 377408
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Slide1
Distance between Points on a Coordinate Plane
Using Quadrant Signs
& Absolute
ValueSlide2
Know
the Signs
of Each Quadrant!
+ -
- -
- +
+ +
5
4
3
2
1Slide3
Same Means
S
ubtract*If two coordinate points are in the same quadrant, then you need to subtract the absolute value of the numbers that are different in the coordinate pairs.
Point A is (-
5,
3) Point B is (-2, 3)Point A & Point B are in the same quadrant, so I must subtract the absolute value of the different numbers.
|-5| - |-2| =5 – 2 = 3Point A is 3 units from Point BA
B
Same Means Subtract
5
4
3
2
1Slide4
Different
Means Add
*If two coordinate pairs are in different quadrants, then you need to add the absolute value of the different numbers.
Point A is
(3, 1)
Point B is (3, -5)Point A & Point B are in the same quadrant, so I must subtract the absolute value of the different numbers.|1| + |-5|
=1 + 5 = 6Point A is 6 units from Point B
A
B
Different Means
Add
5
4
3
2
1Slide5
Let’s Practice
Point
A is
(-4, -3)
Point B is (3, -3)
Different Means Add
A
B
5
4
3
2
1
Point A & Point B are in
different
quadrants,
so I must
add
the
absolute value of the different numbers.
|-4|
+
|3| =
4
+
3
=
7
Point A is
7
units from Point BSlide6
Let’s Practice
Point
A is
(-4, -3)
Point B is (-2, -3)
Same Means Subtract
A
B
5
4
3
2
1
Point A & Point B are
in the
same
quadrant,
so I must
subtract
the
absolute value of the different numbers.
|
-4
| - |-2| =
4 - 2
=
2
Point A is 2
units from Point BSlide7
Let’s Try Without the Coordinate Plane
When we do not have a coordinate plane,
we use the quadrant signs to help us!
Remember the Quadrant signs:
++
--
-+
+-
Figure out if the points are
in the same quadrant or in different quadrants.
by looking at the signs of the numbers.
For example: (2, -3) has a +2 and a -3, so it’s
+-
+- means Quadrant 4.
Then follow the steps, we have already learned:
Same Quadrant – Subtract
Different Quadrants - AddSlide8
(9, -3) & (9, -11)
Are the points in the same quadrant?
(9, -3) is + -(9, -11) is + -
Both points are + -So both points are in the same quadrant!
(all points that are + - are in quadrant 4!)Slide9
(-3, -6) & (-11, -6)
Are the points in the same quadrant?
(-3, -6) is - -(-11, -6) is - -
Both points are - -So both points are in the same quadrant!
(all points that are - - are in quadrant 3!)Slide10
(-1, 5) & (6, 5)
Are the points in the same quadrant?
(-1, 5) is - +
(6, 5) is ++One point is - +
The other point is + +The combination of signs are different, so the points are in different quadrants!(all points that are - + are in quadrant 2!all points that are ++ are in quadrant 1!)Slide11
Now…Back to Finding Distance
between Two Points
without the Coordinate PlaneSlide12
(9, -3) & (9, -11)
1) Are they in the same quadrant?
(9, -3) is + -
(9, -11) is + -
Yes!2) Subtract the absolute value of the different numbers.|-11| - |-3| = 11 – 3 = 8The distance between points is 8!Slide13
(-3, -6) & (-11, -6)
1) Are they in the same quadrant?
(-3, -6) is - - (-11, -6) is - -
Yes!2) Subtract the absolute value of the different numbers.|-11| - |-3| = 11 – 3 = 8The distance between points is 8!Slide14
(-1, 5) & (6, 5)
1) Are they in the same quadrant?
(-1, 5) is - + (6, 5) is ++
No!2) Add the absolute value of the different numbers.|-1| + |6| = 1 + 6 = 7
The distance between points is 7!Slide15
You Try!!
(6, -3) & (12, -3) is: _____
(-5, -9) & (-5, 7) is: _____
(21, 0) & (-1, 0) is: _____
(-2, 5) & (-2, 1) is: _____With the Coordinate Plane
Without the Coordinate PlaneWhat is the distance between A & B: ____ C & D: _____B & C: ____ D & A: _____
A
B
C
D
8
7
8
7
18
16
22
4
5
4
3
2
1