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ISEE Middle Level Math : How to find the points on a coordinate plane

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Example Questions

Example Question #2 : How To Do Coordinate Geometry

Which of the following points will you find on the -axis?

Possible Answers:

(-30,30)

(0,-30)

(30,-30)

(30, 0)

(30,30)

Correct answer:

(0,-30)

Explanation:

A point is located on the -axis if and only if it has -coordinate (first coordinate) 0. Of the five choices, only (0,-30) fits that description.

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Example Question #1 : How To Find The Points On A Coordinate Plane

Which of the following points is on the -axis?

Possible Answers:

(10,10)

(20,1)

(0,10)

(20,0)

(0,20)

Correct answer:

(20,0)

Explanation:

A point is located on the -axis if and only if it has a -coordinate equal to zero. So the answer is (20,0) .

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Example Question #282 : Geometry

A line segment on the coordinate plane has its endpoints at the points with coordinates (7.32, -3. 16) and (10, 10) . Give the midpoint of the segment.

Possible Answers:

(8.66, 6.84)

(8.66, 3.42 )

(2.68, 6.84)

(2.68 , 3.42 )

Correct answer:

(8.66, 3.42 )

Explanation:

The -coordinate of the midpoint can be found by dividing the sum of the -coordinates of the endpoints by 2:

$(7.32 + 10) \div 2 = 17.32 \div 2 = 8.66$

The -coordinate of the midpoints is found similarly:

$(-3.16 + 10) \div 2 =(10 -3.16 ) \div 2 = 6.84 \div 2 = 3.42$

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Example Question #1 : Coordinate Geometry

A line segment on the coordinate plane has its endpoints at the points with coordinates $\left ( - 300, 200 \right )$ and $\left ( -200, 300 \right )$ . Give the coordinates of the midpoint of the segment.

Possible Answers:

(-100, 100 )

(-50, 50)

(-250, 250)

(-500, 500)

Correct answer:

(-250, 250)

Explanation:

The -coordinate of the midpoint can be found by dividing the sum of the -coordinates of the endpoints by 2:

$[ -300 + (-200) ] \div 2 = [ -(300 + 200) ] \div 2 = -500 \div 2 = - (500 \div 2) = -250$

The -coordinate of the midpoint is found similarly:

$(200 + 300) \div 2 = 500 \div 2 = 250$ .

The correct response is (-250, 250) .

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Example Question #284 : Geometry

A line segment on the coordinate plane has its endpoints at the points with coordinates $\left ( 3 \frac{1}{3}, - 1 \frac{1}{2}\right )$ and $\left ( 10, 5 \frac{1}{4}\right )$ . Give the coordinates of the midpoint of the segment.

Possible Answers:

$\left (6 \frac{2}{3}, 1 \frac{7}{8}\right )$

$\left ( 3 \frac{1}{3}, 3 \frac{3}{8}\right )$

$\left (6 \frac{2}{3}, 6 \frac{3}{4}\right )$

$\left (13 \frac{1}{3}, 3 \frac{3}{4}\right )$

Correct answer:

$\left (6 \frac{2}{3}, 1 \frac{7}{8}\right )$

Explanation:

The -coordinate of the midpoint is half the sum of the -coordinates of the endpoints:

$\frac{1}{2} \times \left ( 3 \frac{1}{3} + 10 \right )$

$= \frac{1}{2} \times 13 \frac{1}{3}$

$= \frac{1}{2} \times \frac{40}{3}$

$= \frac{1}{1} \times \frac{20}{3}$

$= \frac{20}{3}$

$= 6 \frac{1}{3}$

The -coordinate of the midpoint is found similarly:

$\frac{1}{2} \times \left ( - 1 \frac{1}{2} + 5 \frac{1}{4} \right )$

$= \frac{1}{2} \times \left ( 5 \frac{1}{4} - 1 \frac{1}{2} \right )$

$= \frac{1}{2} \times \left ( 5 \frac{1}{4} - 1 \frac{2}{4} \right )$

$= \frac{1}{2} \times \left ( 4 \frac{5}{4} - 1 \frac{2}{4} \right )$

$= \frac{1}{2} \times 3 \frac{3}{4}$

$= \frac{1}{2} \times \frac{15}{4}$

$= \frac{ 15}{8}$

$=1 \frac{7}{8}$

The correct response is $\left (6 \frac{2}{3}, 1 \frac{7}{8}\right )$ .

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Example Question #3 : How To Find The Points On A Coordinate Plane

Angela plotted points A through E on the coordinate plane shown below.

Points_grid

Which point is located at the ordered pair (2, 8)?

Possible Answers:

Point B

Point E

Point A

Point C

Point D

Correct answer:

Point B

Explanation:

Start at point (0, 0) in the bottom, left corner of the the coordinate plane. From there, count right 2 spaces. This is the first number in the given ordered pair. From that point, count up 8 spaces. This is the second number in the given ordered pair.

By moving right 2 and up 8, you should have found Point B.

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ISEE Middle Level Math : How to find the points on a coordinate plane

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #2 : How To Do Coordinate Geometry

Example Question #1 : How To Find The Points On A Coordinate Plane

Example Question #282 : Geometry

Example Question #1 : Coordinate Geometry

Example Question #284 : Geometry

Example Question #3 : How To Find The Points On A Coordinate Plane

All ISEE Middle Level Math Resources

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