AnswersAlgebra IUsing the Midpoint Formula

Using the Midpoint Formula — Quiz Answers

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1
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A marine biologist needs to put a GPS device underwater, halfway between two tracking stations to help document great white shark movements. Tracking station #1 is located at (−50,−25) and tracking station #2 is at (200,−65). Where does the GPS device need to be located?

A
open paren 67 point 5 comma negative 37 point 5 close paren
B
open paren 150 comma negative 90 close paren
C
open paren 135 comma negative 75 close paren
D
open paren 75 comma negative 45 close paren
2
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What is the midpoint of line segment MN with endpoints cap m times open paren 2 point 7 comma negative 1 point 2 close paren and cap n times open paren 4 point 1 comma 7 point 2 close paren ?

A
open paren 3 point 4 comma 3 close paren
B
open paren 3 point 9 comma 3 point 1 close paren
C
open paren 0 point 7 5 comma 5 point 6 5 close paren
D
open paren negative 0 point 7 comma negative 4 point 2 close paren
3

Which statement is true about finding the midpoint between two points located on a horizontal or vertical line?

A
When finding the midpoint between two points on a vertical line, keep the x -coordinate and find the average of the y -coordinates.
B
When finding the midpoint between two points on a horizontal line, the x -coordinate is always 0 and the y -coordinates are averaged.
C
When finding the midpoint between two points on a vertical line, keep the y -coordinate and find the average of the x -coordinates.
D
When finding the midpoint between two points on a horizontal line, the y -coordinate is always zero and the x -coordinates are averaged.
4

line segment ST contains points cap s times open paren A comma b close paren and cap t times open paren c comma d close paren Which formula should be used to find the midpoint of the segment?

A
open paren the fraction with numerator A plus b and denominator 2 comma the fraction with numerator c plus d and denominator 2 close paren
B
open paren the fraction with numerator A plus c and denominator 2 comma the fraction with numerator b plus d and denominator 2 close paren
C
open paren the fraction with numerator A minus b and denominator 2 comma the fraction with numerator c minus d and denominator 2 close paren
D
open paren the fraction with numerator A minus c and denominator 2 comma the fraction with numerator b minus d and denominator 2 close paren
5

Find the midpoint between open paren 31 comma 7 close paren and open paren negative 17 comma 19 close paren

A
open paren 14 comma 26 close paren
B
open paren 24 comma negative 6 close paren
C
open paren 7 comma 13 close paren
D
open paren 19 comma 1 close paren
6

The coordinates of midpoint cap m and endpoint cap q of a segment are cap m times open paren negative 7 comma 8 close paren and cap q times open paren negative 19 comma 30 close paren Find the coordinates of the other endpoint.

A
open paren negative 31 comma 52 close paren
B
open paren negative 13 comma 19 close paren
C
open paren 15 comma negative 4 close paren
D
open paren 5 comma negative 14 close paren
7

line segment UV has endpoint cap u times open paren 21 point 6 comma negative 8 point 2 close paren and midpoint cap m times open paren 15 point 8 comma negative 17 close paren What are the coordinates of the other endpoint, cap v ?

A
open paren 18 point 7 comma negative 12 point 6 close paren
B
open paren 10 comma negative 25 point 8 close paren
C
open paren 27 point 4 comma 0 point 6 close paren
D
open paren 7 comma negative 22 point 8 close paren
8

Cedrick is going to meet his mother for dinner at a restaurant halfway between his house and hers. On a coordinate grid map, Cedrick’s house is at (−51,−26) and his mom lives at (2,−4). Where is the best restaurant for them to meet?

A
Thai restaurant at open paren negative 38 comma negative 1 close paren
B
Greek restaurant at open paren negative 25 comma negative 15 close paren
C
French restaurant at open paren negative 27 comma negative 11 close paren
D
Mediterranean restaurant at open paren negative 28 comma negative 12 close paren
9

Point T is at (−16.8, 31.7) and point M is at (1.2, 12.5). Point M is the midpoint of the line segment whose endpoints are S and T. What are the coordinates of endpoint cap s ?

A
open paren 20 point 4 comma negative 5 point 5 close paren
B
open paren negative 7 point 8 comma 22 point 1 close paren
C
open paren 19 point 2 comma negative 6 point 7 close paren
D
open paren negative 34 point 8 comma 50 point 9 close paren
10

line segment mathrm cap r cap s has endpoints cap r times open paren 3 comma 5 close paren and cap s times open paren negative 3 comma negative 1 close paren Which statement explains whether the midpoint cap m of line segment mathrm cap r cap s lies on the y -axis?

A
cap m is equal to open paren the fraction with numerator 5 plus 3 and denominator 2 comma the fraction with numerator negative 3 minus 1 and denominator 2 close paren is equal to open paren 4 comma negative 2 close paren does not lie on the x - or y -axis because neither coordinate is zero.
B
cap m is equal to open paren the fraction with numerator 3 minus 3 and denominator 2 comma the fraction with numerator 5 minus 1 and denominator 2 close paren is equal to open paren 0 comma 2 close paren lies on the y -axis because the x -coordinate is zero.
C
cap m is equal to open paren the fraction with numerator 5 minus 1 and denominator 2 comma the fraction with numerator 3 minus 3 and denominator 2 close paren is equal to open paren 2 comma 0 close paren lies on the y -axis because the y -coordinate is zero.
D
cap m is equal to open paren the fraction with numerator 3 plus 3 and denominator 2 comma the fraction with numerator 5 plus 1 and denominator 2 close paren is equal to open paren 3 comma 3 close paren does not lie on the x - or y -axis because neither coordinate is zero.

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