Show all of your work using formulas, graphs or by explaining your answer! No credit will be given for no work shown when there is a space to do so.
Show all of your work using formulas, graphs or by explaining your answer! No credit will be given for no work shown when there is a space to do so.
Find midpoints and measure distance in the coordinate plane.
Congruent: Equal measure
Midpoint: Point that divides the segment into two congruent segments, the middle point.
Segment Bisector: A point, ray, line, line segment or plane that intersects the segment at its midpoint.
Name two possible segment bisectors of line segment AB. Remember a segment bisector can be a POINT, SEGMENT, LINE OR RAY that bisects a line. Pick two answers that work.
Find AB. (measure of AB)
Find AB. (measure of AB)
Line MR is the segment bisector of segment ST. Find the length of ST. (Hint: Do NOT just find x, be sure you find the length of the whole segment.)
Endpoints of line segment AB are given. Find the coordinates of the midpoint M. Show your work using the midpoint formula.
A(-3,2) and B(9,2)
Find the coordinates of the other endpoint of line segment YZ given midpoint M. You can use desmos to graph it and upload a screenshot, or show your work algebraically here.
M(2,5), Y(2,3)
Find the coordinates of the other endpoint of line segment YZ given midpoint M. You can use desmos to graph it and upload a screenshot, or show your work algebraically here.
M(-4,-4), Y(-1,-1)
Is it possible for a segment to have more than one bisector? Explain.
Find the distance between the two points. Show your work using either the distance formula or Pythagorean theorem.
(5,6) and (1,3)
Name two possible segment bisectors of line segment AB. Remember a segment bisector can be a POINT, SEGMENT, LINE OR RAY that bisects a line. Pick two answers that work.
Point M is the segment bisector of segment ST. Find the length of ST. (Hint: Do NOT just find x, be sure you find the length of the whole segment.)
Endpoints of line segment AB are given. Find the coordinates of the midpoint M. Show your work using the midpoint formula.
A(1,3) and B(7,5)
Find the distance between the two points. Show your work using either the distance formula or Pythagorean theorem. Round your answer to the nearest tenth.
(2,5) and (4,-1)
EXTENSION: Given the endpoints F(-4,2) and G(0,8), find the the three points that divide the segment FG into four equal parts.
EXTENSION: Given the endpoints F(-10,4) and G(8,8), find the the three points that divide the segment FG into four equal parts.
EXTENSION: You draw a square and one diagonal connecting its opposite vertices. Is the diagonal the same length as one side of the square? Explain your thinking or show an example.
Rate your understanding on finding midpoint of a segment in the coordinate plane.
Rate your understanding on finding distance of a segment in the coordinate plane using the distance formula.
