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The endpoints of JK are J(–3,–7) and K(5,9).What are the coordinates of the following points on JK?11. point W is(1/4)the distance from J to K.12. point R is(3/4)the distance from J to K.13. point P is(1/8)the distance from J to K. |
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Answer» Given : the end point of JK are J(-3,-7) and K(5,9). To Find : the coordinates of the following point on JK? point W is(1/4)the distance from J to K. point R is(3/4)the distance from J to K. point P is(1/8)the distance from J to K. Solution : W is(1/4)the distance from J to K. => JW = JK/4 => 4JW = JW + WK => 3JW = WK => JW : WK = 1 : 3 W divided JK in 1 : 3 ratio J(-3,-7) and K(5,9) W = ( 1 * 5 + 3 (-3) )/ (1 + 3) , ( 1 * 9 + 3(-7)) / ( 1 + 3) => W = (- 1 , - 3) Similarly point R is(3/4)the distance from J to K. => R divide J to K in 3 :1 ratio R = ( 3 * 5 +1 (-3) )/ (3+ 1) , ( 3 * 9 + 1(-7)) / (3+ 1) =>R = ( 3 , 5) point P is(1/8)the distance from J to K. => R divide J to K in 1: 7 ratio J(-3,-7) and K(5,9) P = ( 1 * 5 + 7 (-3) )/ (1 + 7) , ( 1 * 9 + 7(-7)) / ( 1 + 7) => P = (- 2 , - 5) LEARN More: To divide a line segment AB in the ratio 3:7, what is the MINIMUM ... Draw a line segment of 10.5 cm. Divide this line segment into ratio 3 ... |
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