Distance and Midpoint in the Coordinate Plane

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Presentation transcript:

Distance and Midpoint in the Coordinate Plane Section 1-7 Distance and Midpoint in the Coordinate Plane

What You Know The first formula you learned was distance on a number line There is a way to find the midpoint using a formula in lieu of visual determination

Example 1 Segment AB has endpoints of -4 and 9 Midpoint Determine the midpoint of AB Midpoint -4 9 A B

Now the Coordinate Plane Formulas are a bit more complicated MUST show every step NEED a scientific calculator Distance on a coordinate plane Given two points (x1, y1) and (x2, y2) Formula

Example 2 Find the distance between (-7, 5) and (4, -3) to the nearest tenth

Partner Up and Try Determine the distance between (-9, 8) and (-6, 0)

Back to the Coordinate Plane Midpoint formula Given two points (x1, y1) and (x2, y2) Formula Answer MUST be an ordered pair Please use fractions

Example 3 Find the midpoint between (2, 4) and (-1, 7)

More Algebra?! Sometimes you will be given one endpoint and the midpoint, then asked to find the other end point This requires splitting the midpoint formula

Example 4 The midpoint of segment CD is (-2, 1) and point C has coordinates of (-5, 7) Find point D Answer  (1, -5)

Partner Up and Try Segment BC has a midpoint of (5, -2) Endpoint B has coordinates of (3, 4) Find point C Find the distance between (-9, 8) and (-6, 0)

Assignment Pg 54 6 – 44 even