Partitioning a Line Segment — Quiz Answers

The endpoints of line segment R S are R negative 5 comma 12 and S 4 comma negative 6 What are the coordinates of point T , which divides line segment R S into a ratio of 4 to 5 ratio?

Point T , the midpoint of segment line segment R S , can be found using the formulas x is equal to 1 half times open paren 6 minus 2 close paren plus 2 and y is equal to 1 half times open paren 4 minus 6 close paren plus 6 What are the coordinates of point T ?

Point A is at negative 4 and point cap b is at 6 Which describes one way to find the point that divides line segment A B into a ratio of 3 to 2 ratio? Open image in full-screen view

If the endpoints of line segment A B are cap A times open paren negative 2 comma 3 close paren and B 1 comma 8 , which shows the correct way to determine the coordinates of point C , the midpoint of line segment A B ?

Which expressions can be used to find the coordinates of the midpoint of line segment P Q with endpoints P 3 comma negative 1 and Q negative 7 comma negative 6 ? Choose three correct answers.

The midpoint of line segment M N is point P at negative 4 comma 6 If point M is at 8 comma negative 2 , what are the coordinates of point N ?

Line segment line segment A B has endpoints A negative 4 comma negative 10 and B negative 11 comma negative 7 To find the x -coordinate of the point that divides the directed line segment in a ratio, the formula x is equal to open paren the fraction with numerator A and denominator A plus b close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 was used to find that x is equal to open paren the fraction with numerator 3 and denominator 3 plus 4 close paren times open paren negative 11 minus negative 4 close paren plus negative 4 What is the x -coordinate of the point that divides line segment A B into a ratio of 3 to 4 ratio?

Line segment line segment X Y has endpoints X negative 10 comma negative 1 and Y 5 comma 15 To find the y -coordinate of the point that divides the directed line segment in a ratio of 5 to 3 ratio, the formula y is equal to open paren the fraction with numerator A and denominator A plus b close paren times open paren y sub 2 minus y sub 1 close paren plus y sub 1 was used to find that y is equal to open paren the fraction with numerator 5 and denominator 5 plus 3 close paren times open paren 15 minus negative 1 close paren plus negative 1 What is the y -coordinate of the point that divides line segment x y into a ratio of 5 to 3 ratio?

To find the coordinates of point L , the midpoint of line segment J K , the equation M is equal to the fraction with numerator 5 plus 1 and denominator 2 comma the fraction with numerator 3 minus 7 and denominator 2 can be used. What are the coordinates of point L ?