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Hello everyone. This article will help you find the answer to the question “which of the following statements is true?”. Let’s follow our steps!

## Question: which of the following statements is true?

Here is our question:

Which of the following statements is true for a point (x,y) that lies in quadrant III?

(a) Both x and y are positive.

(b) Both x and y are negative.

(c) x is positive, and y is negative.

(d) x is negative, and y is positive.

## Answer

Draw the graph xx’, yy’ and fill in the order I, II, III, IV as shown below. Select a point whose coordinates (x;y) lie in the third quadrant. So we have x, y are all negative. So B is correct answer

You can see the illustration below:

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## Relevant knowledge

– A quadrant is the area contained by the x and y axes; so there are four quadrants in a graph. To explain, the two-dimensional Cartesian plane is divided along the x and y axes into four quadrants. Starting at the top right corner is Quadrant I, and going anticlockwise you’ll see Quadrants II through IV.

– The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two halves of axes. They are usually numbered from 1 to 4 and are denoted by Roman numerals: I (where the signs of the coordinates (x; y) are I (+; +), II (-; +), III (– 😉 and IV (+; -).

– Quadrants labeled with quadrant I (one roman numeral) are the upper right region, quadrant II (two roman numerals) is the upper left quadrant, quadrant III (letter) Roman numeral three) is the lower left region, and quadrant IV (Roman numeral four) is the lower right region.

## Conclusion

The above article has helped you find the answer to the question “which of the following statements is true?”. thanks for reading and see you next time!

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