2.1: The Distance and Midpoint Formulas

1
Chapter 2 Section 1 The Distance and Midpoint
Formulas

• In this section, we will
• Graph ordered pairs on the coordinate plane and
  identify quadrants
• Use the Distance Formula to find the
• distance between two given points
• Use the Midpoint Formula to find the midpoint
• of the line segment between two given points

2
Examples Plot each of the following (x, y)
ordered pairs on the coordinate plane and
identify which quadrant the point falls in. (1,
5) (5, 1) (-3, 2) (0, 4)
2.1 Graph Ordered Pairs on the Coordinate Plane
and Identify Quadrants
3
Example We will find the distance between two
ordered pairs.
2.1 Graph Ordered Pairs on the Coordinate Plane
and Identify Quadrants
4
Example Find the exact distance between the two
given points.
Example Find the distance between the two given
points to the nearest hundredth.
2.1 Use the Distance Formula to Find the
Distance between Two Given Points
5
Example Verify that the triangle ABC is a right
triangle. Find the area.
Area
2.1 Use the Distance Formula to Find the
Distance between Two Given Points
6
Example We will find the midpoint between two
ordered pairs.
2.1 Use the Midpoint Formula to Find the
Midpoint of the Line Segment between Two Points
7
Example Find the midpoint between the two given
points.
2.1 Use the Midpoint Formula to Find the
Midpoint of the Line Segment between Two Points
8

• Independent Practice
• You learn math by doing math. The best way to
  learn math is to practice, practice, practice.
  The assigned homework examples provide you with
  an opportunity to practice. Be sure to complete
  every assigned problem (or more if you need
  additional practice). Check your answers to the
  odd-numbered problems in the back of the text to
  see whether you have correctly solved each
  problem rework all problems that are incorrect.
• Read pp. 156-160
• Homework pp. 160-163
• 11, 19-25 odds, 33, 35-41 odds

2.1 The Distance and Midpoint Formulas