use midpoint formula to calculate the midpoint of AB. Name it point M and plot it in the graph. Calculate lengths AB, AM, MB. thanks for help.
Theres no numbers given to answer this question.
To calculate the midpoint of a line segment AB, we can use the midpoint formula:
Midpoint (M) = ((x1 + x2) / 2, (y1 + y2) / 2)
Here's how you can use the midpoint formula and plot the point M on a graph:
1. Identify the coordinates of points A and B. Let's assume point A has coordinates (x1, y1) and point B has coordinates (x2, y2).
2. Substitute the coordinates into the midpoint formula to find the coordinates of point M:
M = ((x1 + x2) / 2, (y1 + y2) / 2)
Calculate the average of the x-coordinates to get the x-coordinate of M. Similarly, calculate the average of the y-coordinates to get the y-coordinate of M.
3. Plot the point M with the coordinates obtained in the previous step on a graph.
4. To calculate the lengths of AB, AM, and MB, you can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Substitute the coordinates of the respective points into the distance formula to compute the lengths.
By using the midpoint and distance formulas, you can find the midpoint M, plot it on a graph, and calculate the lengths AB, AM, and MB.