
Midpoint and Distance Word Problems
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The distance between two points is 15 units. If one point is (-4, 6), find the coordinates of the other point if the midpoint is (-2, 3).
(0, -6)
(10, 8)
(-8, 0)
(4, 12)
Tags
CCSS.HSG.GPE.B.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the distance between the points (2, 3) and (-5, -2).
sqrt(62)
sqrt(85)
sqrt(74)
sqrt(49)
Tags
CCSS.HSG.GPE.B.7
3.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
On a map, Julie’s house is located at (−2, 5) and Jimmy’s house is at (6, −2). How long is the direct path from Julie’s house to Jimmy’s house?
10.63
15
12.7
113
Tags
CCSS.HSG.GPE.B.7
4.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
The midpoint of 𝑅𝑆̅̅̅̅ is point 𝑀( 2, 5). If the coordinated of 𝑅 are (−3, −6), what are the coordinates of 𝑆?
(7 , 18)
(8 , 16)
(7 , 16)
(8 , 18)
Tags
CCSS.HSG.GPE.B.6
5.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
The Riley and Brown families decided to go to a concert together. The Riley’s live 5 miles west and 2 miles north of the concert. The Browns live 3 miles east and 7 miles south. How far apart do they live?
145
13.15
12.04
17.05
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
A command center learns of an enemy patrol is located 7 miles east and 11 miles north of their position. If the commands attack helicopter is located 1 mile east and 3 miles north of the center. What is the shortest distance the helicopter can travel to get to the enemy patrol?
5.29
10
100
28
Tags
CCSS.8.G.B.8
7.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
On a map’s coordinate grid, Walt City is located at (−1, −3) and Koshville is located at (4, 9). How long is the train’s route if it travels along a straight line from Walt City to Koshville? ( One map unit equals one mile.)
11.54
18.2
12
13
Tags
CCSS.HSG.GPE.B.7
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