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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
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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
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
Example:We will find the distance between two ordered pairs. 2.1: Graph Ordered Pairs on the Coordinate Plane and Identify Quadrants
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
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
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
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
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