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

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

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Example Questions

Example Question #15 : Coordinate Geometry

Which of the following points would be located in Quadrant III?

Possible Answers:

Correct answer:

Explanation:

By definition, a point on the coordinate plane that is in Quadrant III must have both a negative  coordinate and a negative  coordinate. The only answer choice that satisfies both of these conditions is .

Example Question #6 : Graphing Points

In which quadrant or on what axis will you find the point ?

Possible Answers:

Quadrant II

The -axis

Quadrant I

Quadrant III

Quadrant IV

Correct answer:

Quadrant II

Explanation:

The point  has a negative  coordinate and a positive  coordinate. By definition, any point on a coordinate plane with these characteristics is located in Quadrant II. 

Example Question #16 : Coordinate Geometry

In which quadrant or on which axis will you find the point ?

Possible Answers:

The -axis

Quadrant III

Quadrant II

The -axis

Quadrant I

Correct answer:

The -axis

Explanation:

The point  does not move in any direction on the -axis, but does move  units up on the -axis. Therefore, the point is located only on the -axis.

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

In which quadrant or on which axis will you find the point ?

Possible Answers:

The -axis

Quadrant II

Quadrant I

Quadrant III

Quadrant III

Correct answer:

Quadrant III

Explanation:

By definition, a point with a negative -coordinate and a negative -coordinate lies in Quadrant III on the coordinate plane.

Example Question #2 : How To Find The Points On A Coordinate Plane

Which of the following points is in Quadrant II on the coordinate plane?

Possible Answers:

Correct answer:

Explanation:

All points in Quadrant II have negative -coordinates and positive -coordinates. The only answer that fulfills these criteria is 

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

In which quadrant or on which axis will we find the point ?

Possible Answers:

The -axis

Quadrant IV

The -axis

Quadrant II

Quadrant I

Correct answer:

The -axis

Explanation:

By definition, any point in the coordinate plane that has a non-zero value -coordinate and a zero-value -coordinate is on the -axis.

Example Question #4 : How To Find The Points On A Coordinate Plane

In which quadrant or on which axis of the coordinate plane will you find the point  ?

Possible Answers:

Quadrant IV

Quadrant III

Quadrant I

The -axis

Quadrant II

Correct answer:

Quadrant IV

Explanation:

A point with a positive -coordinate and a negative -coordinate can be found in Quadrant IV.

Example Question #5 : How To Find The Points On A Coordinate Plane

A line segment on the coordinate plane has its endpoints at the points with coordinates  and . Give the coordinates of the midpoint of the segment.

Possible Answers:

Correct answer:

Explanation:

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

The -coordinate of the midpoint is found similarly:

The coordinates of the midpoint are .

Example Question #6 : How To Find The Points On A Coordinate Plane

A line segment on the coordinate plane has its endpoints at the points with coordinates  and . Give the coordinates of the midpoint of the segment.

Possible Answers:

Correct answer:

Explanation:

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

 

The -coordinate of the midpoint is found similarly:

The midpoint has coordinates .

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