Question

name _ date _ coordinate plane and quadrants write the ordered pair for each point on the coordinate plane. a(_, _) b(_, _) c(_, _) d(_, _) e(_, _) f(_, _) g(_, _) h(_, _) plot and label the following points on the coordinate plane above. q(4, 1) r(3, -3) s(-5, -2) t(0, 3) u(-3, 5) v(2, 0) w(-1, -4) x(4, -6) write the quadrant that each point is found in. h _ d _ b _ s _ f _ q _ c _ u _ challenge! plot and label the point y(-3.5, -1.5) on the coordinate plane. what quadrant is point y found in? _

Explanation:

Step1: Recall coordinate - pair rules

In an ordered pair $(x,y)$, $x$ is the horizontal (abscissa) and $y$ is the vertical (ordinate) distance from the origin.

Step2: Determine coordinates of given points

• For point $A$, it is 3 units to the right of the origin and 3 units up. So $A(3,3)$.
• For point $B$, it is - 3 units to the left of the origin and - 5 units down. So $B(-3,-5)$.
• For point $C$, it is 1 unit to the right of the origin and - 4 units down. So $C(1,-4)$.
• For point $D$, it is 0 units horizontally and 5 units up. So $D(0,5)$.
• For point $E$, it is - 2 units to the left of the origin and 0 units vertically. So $E(-2,0)$.
• For point $F$, it is 5 units to the right of the origin and - 1 unit down. So $F(5,-1)$.
• For point $G$, it is - 3 units to the left of the origin and 4 units up. So $G(-3,4)$.
• For point $H$, it is - 4 units to the left of the origin and 2 units up. So $H(-4,2)$.

Step3: Recall quadrant rules

Quadrant I: $x>0,y > 0$; Quadrant II: $x<0,y>0$; Quadrant III: $x < 0,y<0$; Quadrant IV: $x>0,y<0$. Points on the $x$ - axis ($y = 0$) or $y$ - axis ($x = 0$) are not in any quadrant.

• Point $H(-4,2)$ is in Quadrant II.
• Point $D(0,5)$ is on the $y$ - axis, not in a quadrant.
• Point $B(-3,-5)$ is in Quadrant III.
• Point $S(-5,-2)$ is in Quadrant III.
• Point $F(5,-1)$ is in Quadrant IV.
• Point $Q(4,1)$ is in Quadrant I.
• Point $C(1,-4)$ is in Quadrant IV.
• Point $U(-3,5)$ is in Quadrant II.
• Point $Y(-3.5,-1.5)$ is in Quadrant III.

Answer:

$A(3,3)$
$B(-3,-5)$
$C(1,-4)$
$D(0,5)$
$E(-2,0)$
$F(5,-1)$
$G(-3,4)$
$H(-4,2)$
For plotting $Q(4,1)$: Move 4 units right and 1 unit up from the origin and label it $Q$.
For plotting $R(3,-3)$: Move 3 units right and 3 units down from the origin and label it $R$.
For plotting $S(-5,-2)$: Move 5 units left and 2 units down from the origin and label it $S$.
For plotting $T(0,3)$: Move 0 units horizontally and 3 units up from the origin and label it $T$.
For plotting $U(-3,5)$: Move 3 units left and 5 units up from the origin and label it $U$.
For plotting $V(2,0)$: Move 2 units right and 0 units vertically from the origin and label it $V$.
For plotting $W(-1,-4)$: Move 1 unit left and 4 units down from the origin and label it $W$.
For plotting $X(4,-6)$: Move 4 units right and 6 units down from the origin and label it $X$.
$H$: Quadrant II
$D$: Not in a quadrant
$B$: Quadrant III
$S$: Quadrant III
$F$: Quadrant IV
$Q$: Quadrant I
$C$: Quadrant IV
$U$: Quadrant II
$Y$: Quadrant III