Midpoints and Other Points on Line Segments Adapted from Walch
Education
Slide 3
Key Concepts A line segment is a part of a line that is noted
by two endpoints, (x 1, y 1 ) and (x 2, y 2 ). The length of a line
segment can be found using the distance formula,. The midpoint of a
line segment is the point on the segment that divides it into two
equal parts.
Slide 4
Finding the midpoint of a line segment is like finding the
average of the two endpoints. The midpoint formula is used to find
the midpoint of a line segment. The formula is
Slide 5
FINDING THE POINT ON A LINE SEGMENT WITH ANY GIVEN RATIO Other
points, such as a point that is one-fourth the distance from one
endpoint of a segment, can be calculated in a similar way. We will
explore that in class. Cant wait!
Slide 6
Practice # 1 Calculate the midpoint of the line segment with
endpoints (2, 1) and (4, 10).
Slide 7
Substitute the values of (x 1, y 1 ) and (x 2, y 2 ) into the
midpoint formula. Midpoint formula; Substitute (2, 1) and (4,
10).
Slide 8
Simplify The midpoint of the segment with endpoints (2, 1) and
(4, 10) is (1, 5.5). How do we show mathematically that (1, 5.5) is
the midpoint of the line segment with endpoints (2, 1) and (4,
10)?