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HW-pgs. 47-48 (2-10, 12-20)
CH. 1 Test WEDNESDAY 9-25-13
www.westex.org HS, Teacher Websites
9-20-13
Warm up—Geometry H
1. What are you finding when you take the
average of two numbers such as 6 and 12?
GOAL:
I will be able to:
1. find the midpoint given both endpoints of a
segment.
2. find the endpoint of a segment given 1 endpoint
and the midpoint of the segment.
3. find the length of a segment given both
endpoints.
4. find the distance between two points in the
coordinate system.
HW-pgs. 47-48 (2-10, 12-20)
CH. 1 Test WEDNESDAY 9-25-13
www.westex.org
HS, Teacher Websites
Name ______________________
Date _______
Geometry H
1.6 Midpoint & Distance in the Coordinate Plane
GOAL:
I will be able to:
1. find the midpoint given both endpoints of a segment.
2. find the endpoint of a segment given 1 endpoint and the midpoint of the segment.
Sometimes you need to find the point that is exactly between two other points. This middle
point is called the ___________________.
If you are given two numbers, you can find the number exactly between them by averaging
them (by adding them together and dividing by two). For example, the number exactly
halfway between 5 and 10 is [5 + 10]/2 = 15/2 = 7.5.
The Midpoint Formula works exactly the same way. If you need to find the point that is
exactly halfway between two given points, just ____________ the ___________________
and the _________________.
Midpoint Formula
Finding the Coordinates of a Midpoint
Ex 1
Find the coordinates of the midpoint of CD with endpoints C( -2, -1) and D (4,2).
Ex 2
Find the coordinates of the midpoint of EF with endpoints E( 3, -5) and F ( -9, 13).
YOU TRY:
Find the coordinates of the midpoint of PQ with endpoints P(-7, -11) and Q ( -12, -6).
Finding the Coordinates of an Endpoint
Ex 3
M is the midpoint of AB . A has coordinates (2,7) and M has coordinates (6,1). Find the
coordinates of B.
Step 1 Let the coordinates of B equal ________.
Step 2 Use (plug into) the Midpoint Formula
Step 3 Find the x-coordinate.
Find the y-coordinate.
YOU TRY:
S is the midpoint of RT . R has coordinates (-6,-1) and S has coordinates (-1,1). Find the
coordinates of T.
Distance Formula
GOAL:
I will be able to:
1. find the length of a segment given both endpoints.
2. find the distance between two points in the coordinate system.
The ____________________ can be used to find the distance d between two points in a
coordinate plane.
Ex 1
Use the distance formula to find the distance
between points A and B. Express your answer in
simplified radical form.
Ex 2- Use the Distance Formula to find the length of the segment.
QR with endpoints Q(2, 4) and R(-3, 9).
Use the Distance Formula to find the length of each segment or the distance between
each pair of points.
YOU TRY:
1. EF with endpoints E(-8, 1) and F(1, 1).
2. T(8, -3) and U(5, 5)
3. N(4, -2) and P(-7, 1)
EXIT TICKET
Name _______________________ 9-20-13
Explain how to find the other endpoint of a segment if you are given 1 endpoint and the
midpoint of the segment. You can make up an example to aid you in your explanation.
EXIT TICKET
Name _______________________ 9-20-13
Explain how to find the other endpoint of a segment if you are given 1 endpoint and the
midpoint of the segment. You can make up an example to aid you in your explanation.
EXIT TICKET
Name _______________________ 9-20-13
Explain how to find the other endpoint of a segment if you are given 1 endpoint and the
midpoint of the segment. You can make up an example to aid you in your explanation.
EXIT TICKET
Name _______________________ 9-20-13
Explain how to find the other endpoint of a segment if you are given 1 endpoint and the
midpoint of the segment. You can make up an example to aid you in your explanation.
EXIT TICKET
Name _______________________ 9-20-13
Explain how to find the other endpoint of a segment if you are given 1 endpoint and the
midpoint of the segment. You can make up an example to aid you in your explanation.