Slide 1Slide 2Slide 3Slide 4Slide 5Slide 6Slide 7Slide 82.1: The Distance and Midpoint FormulasChapter 2 Section 1: The Distance and Midpoint FormulasIn this section, we will…Graph ordered pairs on the coordinate plane and identify quadrantsUse the Distance Formula to find the distance between two given pointsUse the Midpoint Formula to find the midpoint of the line segment between two given points2.1: Graph Ordered Pairs on the Coordinate Plane and Identify QuadrantsExamples: 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 QuadrantsExample: We will find the distance between two ordered pairs.1 1 1 2 2 22 22 1 2 1The distance between two points P ( , ) and P ( , ) is( ) ( )x y x yd x x y y= == - + -2.1: Use the Distance Formula to Find the Distance between Two Given PointsExample: Find the exact distance between the two given points.1 2( 4, 3); (6, 2)P P= - - =1 2(1.2,2.3); ( 0.3,1.1)P P= = -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 PointsExample: Verify that the triangle ABC is a right triangle. Find the area.(4, 3); B (4,1); C (2,1)A = - = =Area =2.1: Use the Midpoint Formula to Find the Midpoint of the Line Segment between Two PointsExample: We will find the midpoint between two ordered pairs.1 1 1 2 2 21 2 1 2The midpoint between two points P ( , ) and P ( , ) is,2 2x y x yx x y yM= =+ +� �=� �� �2.1: Use the Midpoint Formula to Find the Midpoint of the Line Segment between Two PointsExample: Find the midpoint between the two given points.1 2( 4, 3); (2, 2)P P= - - =1 2(1.2,2.3); ( 0.3,1.1)P P= = -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. 156-160Homework: pp. 160-163 #11, 19-25 odds, 33, 35-41 odds2.1: The Distance and Midpoint
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