SOLUTION: How do you find Midpoint and distance? For ex... T(10, 8) is the midpoint of CD. The coordinates of D are (10, 15). What are the coordinates of C? OR Noam walks home fro

Algebra ->  Points-lines-and-rays -> SOLUTION: How do you find Midpoint and distance? For ex... T(10, 8) is the midpoint of CD. The coordinates of D are (10, 15). What are the coordinates of C? OR Noam walks home fro      Log On


   

Question 498044: How do you find Midpoint and distance? For ex...
T(10, 8) is the midpoint of CD. The coordinates of D are (10, 15). What are the coordinates of C?
OR
Noam walks home from school by walking 8 blocks north and then 6 blocks east. How much shorter would
his walk be if there were a direct path from the school to his house? Assume that the blocks are square.
Yes, this is my math homework. Im just looking for a little extra help please. Thank youuuu. (: xxx
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
C is as far from T as T is from D -- in both the x and y directions
___ Tx is zero from Dx, so Cx is zero from Tx ___ Cx is 10
___ Ty is -7 (8 - 15) from Dy, so Cy is -7 from Ty ___ Cy is 1 (8 - 7)
___ C is (10,1)


Noam walks a right angled path -- like the two sides of a right triangle
___ if he walked directly along the hypotenuse it would be shorter