Notes: Finding midpoint and distances given two …



Honors Geometry – Midpoint & Distance

Notes: Finding midpoint and distances given two points.

Step 1: Plot the points (1,2), (4,2) and (4,6) on the graph provided.

Connect to form a right triangle.

Step 2: Verify your measurement by Pythagorean Theorem to

find the distance between the points.

Step 3: Estimate the midpoint. Use the ruler to estimate the location of the point halfway between (1,2) and (4,6). What are the coordinates of this point? ___________

Step 4: Find the mean of the corresponding coordinates.

Find the mean of the x-coordinates of the points (1,2) and (4,6). _______

Find the mean of the y-coordinates of the points (1,2) and (4,6). _______

How do these compare with the answer in step 3? _____________________

Examples:

1. Explain how you can use the Pythagorean Theorem to find the

distance between any two points in a coordinate plane.

Use the extra graphs to plot the coordinates if needed. SHOW ALL WORK!

Find the distance between the two points

2. (7, 2), (-2, 10) 3. (-3, 6), (2, -6) 4. (x1,y1), (x2,y2)

5. Explain how you can find the midpoint of the line segment joining any

two points in a coordinate plane.

Find the midpoint of the line segment joining the two points.

6. (7, 2), (-2, -10) 7. (-3, 6), (2, -6) 8. (x1,y1), (x2,y2)

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