Distance
Midpoint
Distance word problems
Midpoint word problems
Partitioning a line segment
100
What is the distance formula?
d=√(x₂-x₁)²+(y₂-y₁)²
100
What is the midpoint formula?
M(((x₁+x₂)/2),((y₁+y₂)/2)))
100
Amy, and Ella are playing jump rope. Amy is standing at (5,6) and Ella is standing at (2,5). What is the distance between them?
√10 or 3.16
100
Cindy was standing in between KFC and McDonalds. If McDonald is located at (4,8) and KFC is located at (-10,-8), where is Cindy located at?
(-3,0)
100
Find the point that partitions the line segment A(-3, 4) and B(7,6) into the ratio of 1:1. A to B
(2, 5)
200
What is the distance between (8,11) and (8,4)?
7
200
Given the points A and B where A is at coordinates ( 2,-5 ) and B is at coordinates ( -3,-7 ) on the line segment AB, find the midpoint of AB.
(-.5,-6)
200
The teacher stands at (4,2) and a student is sitting at (2,2). What is the distance between the teacher and students?
2
200
Sharon is standing at (5,8) when two cars from the same distance is driving towards her. One of the car is located at (-1, 3), where is the other car located at?
(11,13)
200
Find the point that partitions the line segment A(-9, 3) and B(1, 8) into the ratio of 2:3. A to B
(-5, 5)
300
Given the points A and B where A is at coordinates (2,-5) and B is at coordinates (-3,-7) on the line segment AB, find the length of AB.
√29 or 5.39
300
Find the midpoint of the line segment AB where point A is at ( 0, 2 ) and point B is at ( -1, - 4 ).
(-.5,-1)
300
Tommy's phone is ringing in the bedroom,(4,7), but he is in the living room,(8,2). What is the distance Tommy needs to go to pick up his phone?
√41 or 6.4
300
Tommy's phone is ringing in the bedroom,(4,7), but he is in the living room,(8,2). What is the distance Tommy needs to go to pick up his phone?
√41 or 6.4
300
Find the point that partitions the line segment A(-3, -6) and B(4, 8) into the ratio of 3:4. A to B
(0, 0)
400
Classify triangle ABC a scalene, isosceles, or equilateral A(3,1); B(4,2); C(1,3)
Scalene
400
Find the midpoint of the line segment joining the points ( 1, - 4 ) and ( - 4, 2 )
(-1.5,-1)
400
The town of Newton is mapped on a coordinate grid with the origin being at City Hall. The cafe is located at the point (-3, 9) and the bookstore is located at (3, 1).
10
400
Tommy is at Disneyland taking pictures with the characters. If SpongeBob is at (-8,3) and Mickey Mouse is at (2,-5), and Tommy is sitting between them, where is Tommy located at?
(-3,-1)
400
Find the coordinates of point P that lies on the line segment MQ where M(-9, -5) and Q(3,5) and partitions the segment at a ratio of 1 to 1.
(-3,0)
500
Classify triangle ABC as scalene, isosceles, or equilateral A(-4,3), B(4,3), C(0,4)
Isosceles
500
M is the midpoint of . The coordinates of A are (-2,3) and the coordinates of M are (1,0). Find the coordinates of B.
(4,-3)
500
The Lotto Mart is mapped on a coordinate grid with the origin being at the main entrance. The chocolate bar is located at the point (-1, 3) and cake house is located at (1, 5). What is the distance between them.
2√2
500
Lily is deciding between dessert or Teaway. Teaway is at (5,6) and the dessert house is at (9,-3). If Lily is standing in between them, where is she?
(7,1.5)
500
Partition the directed line segment into the ratio given. K(2,-6), R(-5,-9); KR 6:15
(0,-48/7)
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