The endpoints of line rs are r(1, -3) and s(4,2). find rs
the endpoints of line cd are c(-8,-1) and d(2,4). find cd
the midpoint of line ac is m(5,6). one endpoint is a(-3,7). find the coordinates of endpoint c.

Part 1)

Part 2)

Part 3) The coordinates of endpoint C are (13,5)

Step-by-step explanation:

Part 1) The endpoints of line RS are R(1, -3) and S(4,2). Find RS

we now that

the formula to calculate the distance between two points is equal to

substitute the values

Part 2) The endpoints of line CD are C(-8,-1) and D(2,4). Find CD

we now that

the formula to calculate the distance between two points is equal to

substitute the values

Part 3) The midpoint of line AC is M(5,6). One endpoint is A(-3,7). Find the coordinates of endpoint C

The formula to calculate the midpoint between two points is equal to

Let

(x2,y2)-------> the coordinates of point C

(x1,y1) -------> the coordinates of point A

substitute the given values

write the equations

therefore

The coordinates of endpoint C are (13,5)

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.