AnswersAlgebra ICoordinate Plane

Coordinate Plane — Test Answers

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Shelbi is drawing plans for a garden, measured in feet, which is shown on the coordinate plane. What is the area of Shelbi’s garden in square feet?

A
32 square feet
B
24 square feet
C
21 square feet
D
28 square feet
2
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What is the length of line segment BC with endpoints (−4, 3) and (−4,−4) as shown on the coordinate plane?

A
8 units
B
4 units
C
7 units
D
3 units
3

Which statement best describes Josiah’s work?

A
The 15 and 26 should be switched.
B
The negative 3 and 35 should be switched.
C
The equations should be the fraction with numerator 35 plus x sub 2 and denominator 2 is equal to 15 comma the fraction with numerator negative 3 plus y sub 2 and denominator 2 is equal to 26
D
The equations are correct.
4

What are the dimensions of the rectangle shown on the coordinate plane?

A
The base is 5 units and the height is 3 units.
B
The base is 5 units and the height is 5 units.
C
The base is 5 units and the height is 6 units.
D
The base is 5 units and the height is 4 units.
5

If cap z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ ?

A
3
B
5
C
4
D
6
6

At which point could point cap c be located?

A
open paren negative 3 comma 2 close paren
B
open paren 5 comma negative 5 close paren
C
open paren 5 comma negative 3 close paren
D
open paren negative 3 comma 3 close paren
7

Find the coordinates of cap m , the midpoint of line segment UV , for cap u times open paren negative 4 comma 2 close paren and cap v times open paren 6 comma 10 close paren

A
cap m times open paren negative 1 comma 8 close paren
B
cap m times open paren 2 comma 12 close paren
C
cap m times open paren 1 comma 6 close paren
D
cap m times open paren negative 5 comma negative 4 close paren
8

The midpoint of line segment AB is cap m times open paren 12 comma negative 3 close paren One endpoint is cap A times open paren 3 comma negative 8 close paren Find the coordinates of endpoint cap b

A
open paren 7 point 5 comma negative 5 point 5 close paren
B
open paren 21 comma 2 close paren
C
open paren 17 comma 6 close paren
D
open paren negative 6 comma negative 13 close paren
9

The midpoint of line segment mathrm cap k cap l is cap m times open paren 2 comma 7 close paren One endpoint is cap k times open paren negative 5 comma 11 close paren Which equations can be used to find the coordinates of endpoint cap l times open paren x sub 2 comma y sub 2 close paren ?

A
the fraction with numerator 2 plus x sub 2 and denominator 2 is equal to 11 comma the fraction with numerator 7 plus y sub 2 and denominator 2 is equal to negative 5
B
the fraction with numerator negative 5 plus x sub 2 and denominator 2 is equal to 7 comma the fraction with numerator 11 plus y sub 2 and denominator 2 is equal to 2
C
the fraction with numerator negative 5 plus x sub 2 and denominator 2 is equal to 2 comma the fraction with numerator 11 plus y sub 2 and denominator 2 is equal to 7
D
the fraction with numerator 2 plus x sub 2 and denominator 2 is equal to negative 5 comma the fraction with numerator 7 plus y sub 2 and denominator 2 is equal to 11
10

What is the distance between open paren negative 13 comma 9 close paren and open paren 11 comma 2 close paren on a coordinate grid?

Answer:

25

11

The midpoint of line segment YZ is open paren negative 5 comma 3 close paren One endpoint is cap y times open paren 4 point 5 comma 13 close paren Find the coordinates of endpoint cap z

A
open paren 14 comma 23 close paren
B
open paren negative 14 and 1 half comma negative 7 close paren
C
open paren negative 15 comma negative 6 and 1 half close paren
D
open paren negative 1 fourth comma 8 close paren
12

If cap m times open paren 31 comma negative 5 close paren is the midpoint of the line segment whose endpoints are cap A and cap b times open paren 2 comma negative 19 close paren , what are the coordinates of endpoint cap A ?

A
open paren 16 point 5 comma negative 12 close paren
B
open paren 45 comma 24 close paren
C
open paren 60 comma 9 close paren
D
open paren negative 27 comma negative 33 close paren
13

Which expression can be used to determine the length of segment AB ?

A
square root of 2 squared minus 6 squared end root
B
square root of 2 squared plus 6 squared end root
C
square root of open paren 2 plus 6 close paren squared end root
D
square root of 6 squared minus 2 squared end root
14

What is the length of side AB as shown on the coordinate plane?

A
4 units
B
6 units
C
2 units
D
8 units
15

The park owners want to put an information booth halfway between the roller coaster and the water slide. If the roller coaster is located on the map at open paren 7 comma 6 close paren and the water slide is located at open paren negative 3 comma negative 4 close paren , at which coordinates should the information booth be placed?

A
open paren 2 comma 1 close paren
B
open paren 4 comma 2 close paren
C
open paren 2 comma negative 1 close paren
D
open paren 1 comma 1 close paren
16

What is the length of segment GH ?

A
12 units
B
square root of 80 units
C
8 units
D
square root of 48 units
17

A rectangle is shown on a coordinate plane with vertices A(−4, 8), B(1, 8), C(1,−1), and D(−4,−1). What are the dimensions of the rectangle?

A
The base is 4 units and the height is 9 units.
B
The base is 5 units and the height is 9 units.
C
The base is 9 units and the height is 3 units.
D
The base is 5 units and the height is 7 units.
18

What is the length of side AC as shown on the coordinate plane?

A
4 units
B
3 units
C
6 units
D
1 units
19

What is the area of the rectangle shown on the coordinate plane?

A
24 square units
B
16 square units
C
14 square units
D
8 square units
20

What is the length of segment XY ?

A
9 units
B
square root of 53 units
C
square root of 45 units
D
4 point 5 units

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