Question

На координатной плоскости даны точки А (-10; -18), В (35; 15), С (-5; 40) и D (1; -20). Расположите данные точки по порядку в соответствии с номерами координатных четвертей: I, II, III, IV.

Answer 1

B(35; 15) Quadrant I.

C (-5; 40) Quadrant II.

A (-10; -18) Quadrant III.

D (1; -20) Quadrant IV.

Explanation:

The problem is

In the coordinate plane, points A (-10; -18), B (35; 15), C (-5; 40) and D (1; -20) are given. Arrange these points in order according to the numbers of the coordinate quadrants: I, II, III, IV.

First of all, we need to analyse the signs of each variable at each quadrant.

Quadrant I: x-variable is positive and y-variable is positive.

Quadrant II: x-variable is negative and y-variable is positive.

Quadrant III: x-variable is negative and y-variable is negative.

Quadrant IV: x-variable is positive and y-variable is negative.

Now, according to the description above, the order of the given coordinates is

• B(35; 15) Quadrant I.
• C (-5; 40) Quadrant II.
• A (-10; -18) Quadrant III.
• D (1; -20) Quadrant IV.