1.3: Distance and Midpoints Objective: I will be able to… -Calculate the distance between 2 points...
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Transcript of 1.3: Distance and Midpoints Objective: I will be able to… -Calculate the distance between 2 points...
![Page 1: 1.3: Distance and Midpoints Objective: I will be able to… -Calculate the distance between 2 points -Calculate the midpoint of 2 points.](https://reader034.fdocuments.in/reader034/viewer/2022051401/56649f0d5503460f94c210a9/html5/thumbnails/1.jpg)
1.3: Distance and Midpoints
Objective: I will be able to…-Calculate the distance between 2
points-Calculate the midpoint of 2 points
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You graphed points on the coordinate plane.
• Find the distance between two points.
• Find the midpoint of a segment.
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Distance: the length of the segment between 2 points
Irrational number: a number that cannot be expressed as a terminating or repeating decimal
Midpoint: the point that is halfway between the endpoints of a line segment
Segment Bisector: any segment, line, or plane that intersects a segment at its midpoint
NEW VOCAB!
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Real world examples
-Get into groups
-Complete front and back of worksheet together
-I want to see some serious explanations! No one word answers or “I don’t know”!
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Let’s discover the distance formula!First, we’ll plot two points:
(0,0) and (3,4)
We want to calculate the shortest distance between these two points.
We will create a right triangle.
How do we find the lengths of our legs?
What side is the “distance” on?
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Find Distance on a Coordinate Plane
Find the distance between E(–4, 1) and F(3, –1).
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A. 4
B.
C.
D.
Find the distance between A(–3, 4) and M(1, 2).
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A. 330 ft
B. 660 ft
C. 990 ft
D. 1320 ft
DRAG RACING The length of a drag racing strip is
mile long. How many feet from the finish line is
the midpoint of the racing strip? (Remember: 1 mile = 5,280 feet)
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Let’s discover the midpoint formula!Graph 2 points J (1,2) and E (-3,5)
We will draw a line segment between them
Thinking back to how we find a midpoint on a number line, how do you think we find a midpoint on a coordinate plane?
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A. (–10, –6)
B. (–5, –3)
C. (6, 12)
D. (–6, –12)
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Find the Coordinates of an Endpoint
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A. (3.5, 1)
B. (–10, 13)
C. (15, –1)
D. (17, –11)
Find the coordinates of R if N (8, –3) is the midpointof RS and S has coordinates (–1, 5).
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A. 1
B. 10
C. 5
D. 3
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Segment Bisector: any segment, line, or plane that intersects a segment at its midpoint
A
B
P
Q
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A
B C
E
D
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Homework Assignment
pg. 31 #22-24, 31-32, 47-49, 68