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2. Lets Learn
Suppose point M divides segment PQ into two congruent
parts. If the length of segment PQ = 12 units then each of two
congruent parts measures 6 units.
Point M is called the midpoint of segment PQ.
A point that divides a segment into two congruent parts is
called the midpoint of the line segment.

3. In a coordinate plane, how do we find the midpoint of line
segment MN using the Distance Formula?
Midpoint Formula
Let P1(x1, y1) and P2(x2, y2) be the endpoints of a line
segment in a coordinate plane. The x and y coordinates of the
midpoint of a line segment joining P1(x1, y1) and P2(x2, y2)
are x =
𝑥1
+𝑥2
2
and y =
𝑦1
+𝑦2
2
, respectively.

5. Study these examples.
Example 1.
Find the coordinates of the midpoint of line
segment joined by (-3, 5) and (8, -1)
Steps Solution
1. Solve for x coordinate of the midpoint
joined by (-3, 5) and (8, -1)
Let P1(8, -1) and P2(-3, 5)
x =
𝑥1
+𝑥2
2
=
8+(−3)
2
=
𝟓
𝟐
2. Solve for y coordinate of the midpoint
joined by (-3, 5) and (8, -1).
y =
𝑦1
+𝑦2
2
=
(−1)+(5)
2
=
4
2
= 2
Therefore, the coordinates of the midpoint of the line segment is (
𝟓
𝟐
, 2 )

6. Example 2.
Find the coordinates of the midpoint of line segment joined by
(-2, 4) and (3, -2).
Steps Solution
1. Solve for x coordinate of
the midpoint joined by (-
2, 4) and (3, -2).
Let P1(-2, 4) and P2(3, -2)
x =
𝑥1
+𝑥2
2
=
−2 +(3)
2
=
𝟏
𝟐
2. Solve for y coordinate of
the midpoint joined by (-2, 4)
and (3, -2).
y =
𝑦1
+𝑦2
2
=
4+(−2)
2
=
2
2
= 1
Therefore, the coordinates of the midpoint of the line segment is (
𝟏
𝟐
, 2 )

7. Let P1 = A(3, 3) and P2 = B(-4, 3)
= A(3(x1), 3(y1)) and P2 = B(-4(X2), 3(y2))
Solution:
x =
𝑥1
+𝑥2
2
=
3+(−4)
2
=
−1
2
= -
1
2
y =
𝑦1
+𝑦2
2
=
3+3
2
=
6
2
= 3
Therefore, the coordinates of the midpoint of the line segment is (-
𝟏
𝟐
, 3 )
Example 3.
Find the coordinates of the midpoint of line segment joined by AB.