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.
Question 1
1.
Question 2
2.
Find AB. (measure of AB)
Question 3
3.
Find AB. (measure of AB)
Question 4
4.
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.)
Question 5
5.
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)
The following video is only if you want to solve the next two problems algebraically. In the video in the notes, I show you how to do it using a graph.
Question 6
6.
Find the coordinates of the other endpoint of line segment YZ given midpoint M. You can use desmos to graph it, or show your work algebraically here.
M(2,5), Y(2,3)
Question 7
7.
Find the coordinates of the other endpoint of line segment YZ given midpoint M. You can use desmos to graph it, or show your work algebraically here.
M(-4,-4), Y(-1,-1)
Question 8
8.
Is it possible for a segment to have more than one bisector? Explain.
Question 9
9.
Find the distance between the two points. Show your work using either the distance formula or Pythagorean theorem.
(5,6) and (1,3)
Answers are posted in Google Classroom, please check your work so far. Then complete the following exit ticket questions.
Question 10
10.
Question 11
11.
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.)
Question 12
12.
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)
Question 13
13.
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)
Question 14
14.
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.
Question 15
15.
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.
Question 16
16.
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.
Question 17
17.
Rate your understanding on finding midpoint of a segment in the coordinate plane.
Question 18
18.
Rate your understanding on finding distance of a segment in the coordinate plane using the distance formula.
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.
AM
MB
A
M
B
d
dM
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.