Using the given endpoint R (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)
Explanation :
Use the given endpoint R and the midpoint M of segment RS
R (8, 0 ) and M (4, -5 )
Let 'S' be (x2,y2)
Apply the midpoint formula
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\[/tex]
Endpoint R is (x1,y1) that is (8,0)
Substitute the values and make it equal to M(4,-5)
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\\(\frac{8+x_2}{2},\frac{0+y_2}{2} )=(4,-5)\\\\\frac{8+x_2}{2}=4\\8+x_2=8\\x_2=8-8=0\\x_2=0\\\\\\\frac{0+y_2}{2} =-5\\y_2=-10[/tex]
So other endpoint S is (0,-10)
Learn more : brainly.com/question/16829448
