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Published byJasmine Sullivan Modified over 2 years ago

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Sec 1-3 Concept: Use Midpoint and Distance Formulas Objective: Given coordinates in a plane, find lengths of segments as measured by a s.g.

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Example 1 : Find the length of AB X Y A B One way would be to use the Pythagorean Thm. a 2 +b 2 =c 2 C 4 3 C =C = C 2 25=C 2 5 = C

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Distance Formula: (x 1,y 1 ) (x 2,y 2 ) A B (x 2,y 1 ) x 2 -x 1 y 2 -y 1 C 2 = a 2 +b 2 C

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Distance Formula If A(x 1,y 1 ) and B(x 2,y 2 ) are points in a coordinate plane, then the distance between A and B is

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X Y A B Example 2: Use the distance formula to find the length of AB (2,1) (6,4) AB = 5

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Example 3 : Find the length of the segment with end points A(3,-2) and B(-4,1)

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Midpoint of a Segment: a point that divides the segment into 2 congruent segments (the middle)

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Example 4: A.Find the midpoint of DE with endpoints D(3,5) and E(-4,0) B. Find the midpoint of DE with endpoints D(-1,8) and E(2,-5)

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Example 5: A.The midpoint of XY is M(2,1). One endpoint is Y(-7,11). Find the coordinates of the other endpoint B. The midpoint of XY is M(-7,8). One endpoint is Y(4,-6). Find the coordinates of the other endpoint

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TODAYS WORK

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