Midpoint of Line a: M_a (4.5, 3) Midpoint of Line b: M_b (-3, 1.5) Midpoint of Line c: M_c (1.5, -2)
Practice makes perfect
Let's add the lattice labels on axes of the given diagram.
We want to find the midpoints of all the given segments. Let's start with segment a.
Segment a
To find the midpoint, we should first find the coordinates of the endpoints of segment a.
We want to find the midpoint of line segment a. We can use the midpoint formula to do find it.
M (x_1+x_2/2,y_1+y_2/2)Let's substitute the coordinates of the endpoint into the formula and simplify.
The midpoint of line segment c is the point M_c(1.5, -2). Let's add it to the diagram.
Our Findings
Now that we found all of the midpoints, let's list them with their coordinates
M_a (4.5, 3) M_b (-3, 1.5) M_c (1.5, -2)
We can also see the graph with of the midpoints and their coordinates.
