Advanced Geometry : Coordinate Geometry

Study concepts, example questions & explanations for Advanced Geometry

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Example Questions

Example Question #22 : How To Graph An Ordered Pair

What are the coordinates of the two points that make up the line segment below? The ordered pairs are in order from left to right.

 Screen shot 2015 10 21 at 7.02.20 pm

Possible Answers:

Correct answer:

Explanation:

The scale on the graph is  unit. You have to go to the left of zero, which means the x-coordinate is negative. You also have to go down, so the y-coordinate is negative. The correct coordinates that make up the line segment are .

Example Question #23 : How To Graph An Ordered Pair

What ordered pair is shown below?

4  5

Possible Answers:

Correct answer:

Explanation:

The x-coordinate is the first one listed, and the y-coordinate is the second coordinate in the parentheses. You have to go either left or right with the x-coordinate, and the y-coordinate is the one on the vertical axis. 

The point shown is in the IV quadrant, which means that the x-coordinate is positive, and the y-coordinate is negative.

The only point that fulfills those standards is .

Example Question #31 : How To Graph An Ordered Pair

Possible Answers:

Correct answer:

Explanation:

To discover the answer, we must plug in the x-values to see which ordered pair results in the corresponding y-value. 

Example Question #111 : Coordinate Geometry

The point on the coordinate plane with coordinates  lies _____

Possible Answers:

on an axis.

in Quadrant II.

in Quadrant III.

in Quadrant IV.

in Quadrant I.

Correct answer:

on an axis.

Explanation:

On the coordinate plane, a point with 0 as one of its coordinates lies on an axis.

Example Question #112 : Coordinate Geometry

The point on the coordinate plane with coordinates  lies _____

Possible Answers:

in Quadrant III.

in Quadrant II.

in Quadrant IV.

on an axis.

in Quadrant I.

Correct answer:

in Quadrant II.

Explanation:

On the coordinate plane, a point with a negative -coordinate and a positive -coordinate lies in the upper left quadrant - Quadrant II.

Example Question #113 : Coordinate Geometry

The point on the coordinate plane with coordinates  lies _____

Possible Answers:

in Quadrant III.

in Quadrant I.

on an axis.

in Quadrant IV.

in Quadrant II.

Correct answer:

in Quadrant IV.

Explanation:

On the coordinate plane, a point with a positive -coordinate and a negative -coordinate lies in the lower right quadrant - Quadrant IV.

Example Question #114 : Coordinate Geometry

The point on the coordinate plane with coordinates  lies _____

Possible Answers:

in Quadrant IV.

on an axis.

in Quadrant III.

in Quadrant I.

in Quadrant II.

Correct answer:

in Quadrant I.

Explanation:

On the coordinate plane, a point with a positive -coordinate and a positive -coordinate lies in the upper right quadrant - Quadrant I.

Example Question #115 : Coordinate Geometry

The point on the coordinate plane with coordinates  lies _____

Possible Answers:

in Quadrant IV.

in Quadrant II.

in Quadrant III.

in Quadrant I.

on an axis.

Correct answer:

in Quadrant III.

Explanation:

On the coordinate plane, a point with a negative -coordinate and a negative -coordinate lies in the lower left quadrant - Quadrant III.

Example Question #116 : Coordinate Geometry

The point on the coordinate plane with coordinates  lies _____

Possible Answers:

on an axis.

in Quadrant IV.

in Quadrant I.

in Quadrant III.

in Quadrant II.

Correct answer:

in Quadrant II.

Explanation:

On the coordinate plane, a point with a negative -coordinate and a positive -coordinate lies in the upper left quadrant - Quadrant II.

Example Question #1 : How To Graph A Function

The chord of a  central angle of a circle with area  has what length?

Possible Answers:

Correct answer:

Explanation:

The radius  of a circle with area  can be found as follows:

The circle, the central angle, and the chord are shown below:

Chord

By way of the Isosceles Triangle Theorem,  can be proved equilateral, so , the correct response.

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