Exercise 3.2 Practice
Cartesian System
Q1: Identify Quadrants
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Without plotting the points, indicate the quadrant or axis on which each of the following points lies:
(i) $A(3, -2)$
(ii) $B(-5, -1)$
(iii) $C(0, 4)$
(iv) $D(-3, 5)$
(v) $E(6, 0)$
(i) $A(3, -2)$
(ii) $B(-5, -1)$
(iii) $C(0, 4)$
(iv) $D(-3, 5)$
(v) $E(6, 0)$
(i) $A(3, -2)$: x is positive, y is negative. $\Rightarrow$ IV Quadrant.
(ii) $B(-5, -1)$: x is negative, y is negative. $\Rightarrow$ III Quadrant.
(iii) $C(0, 4)$: x is zero. $\Rightarrow$ On the y-axis.
(iv) $D(-3, 5)$: x is negative, y is positive. $\Rightarrow$ II Quadrant.
(v) $E(6, 0)$: y is zero. $\Rightarrow$ On the x-axis.
Q2: Read the Graph
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Observe the graph below and answer the following questions:
(i) Write the coordinates of point P.
(ii) What is the abscissa of point Q?
(iii) What is the ordinate of point R?
(iv) Which point is represented by the coordinates $(2, -4)$?
(i) Write the coordinates of point P.
(ii) What is the abscissa of point Q?
(iii) What is the ordinate of point R?
(iv) Which point is represented by the coordinates $(2, -4)$?
(i) Coordinates of P: From the origin, move 4 units right and 3 units up. Coordinates are $(4, 3)$.
(ii) Abscissa of Q: Point Q is at $(-3, 2)$. The abscissa (x-coordinate) is $-3$.
(iii) Ordinate of R: Point R is at $(-4, -3)$. The ordinate (y-coordinate) is $-3$.
(iv) Point for $(2, -4)$: Moving 2 units right and 4 units down leads to point S.