In which quadrant or on which axis does each of the following points lie?
$A(10, 40), B(-30, 0), C(50, -40), D(0, -30), E(-20, 50), F(0, 60), G(70, 0), H(-40, -50)$
Verify your answer by plotting the points in the Cartesian plane. Use the scale $1 \, cm = 10$ units on both axes.
$A(10, 40), B(-30, 0), C(50, -40), D(0, -30), E(-20, 50), F(0, 60), G(70, 0), H(-40, -50)$
Verify your answer by plotting the points in the Cartesian plane. Use the scale $1 \, cm = 10$ units on both axes.
(A) To determine the position of a point $(x, y)$ in the Cartesian plane:
$1$. If $x > 0$ and $y > 0$,the point lies in the first quadrant.
$2$. If $x < 0$ and $y > 0$,the point lies in the second quadrant.
$3$. If $x < 0$ and $y < 0$,the point lies in the third quadrant.
$4$. If $x > 0$ and $y < 0$,the point lies in the fourth quadrant.
$5$. If $y = 0$,the point lies on the $x$-axis.
$6$. If $x = 0$,the point lies on the $y$-axis.
$1$. If $x > 0$ and $y > 0$,the point lies in the first quadrant.
$2$. If $x < 0$ and $y > 0$,the point lies in the second quadrant.
$3$. If $x < 0$ and $y < 0$,the point lies in the third quadrant.
$4$. If $x > 0$ and $y < 0$,the point lies in the fourth quadrant.
$5$. If $y = 0$,the point lies on the $x$-axis.
$6$. If $x = 0$,the point lies on the $y$-axis.
| Point | Position |
| $A(10, 40)$ | First quadrant |
| $B(-30, 0)$ | $x$-axis |
| $C(50, -40)$ | Fourth quadrant |
| $D(0, -30)$ | $y$-axis |
| $E(-20, 50)$ | Second quadrant |
| $F(0, 60)$ | $y$-axis |
| $G(70, 0)$ | $x$-axis |
| $H(-40, -50)$ | Third quadrant |
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