Question

fill in the blank spaces with the appropriate term.
state the quadrant of the ordered pairs.

1. (3,3)
2. (-4,3)
3. (1,6)
4. (7,-2)
5. (5,-8)
6. (-4,-1)
7. (-2,3)
8. (-3,-3)

Explanation:

Step1: Recall Quadrant Rules

In a coordinate plane, quadrants are defined by the signs of \(x\) and \(y\) coordinates:

• Quadrant I: \(x>0\), \(y>0\)
• Quadrant II: \(x<0\), \(y>0\)
• Quadrant III: \(x<0\), \(y<0\)
• Quadrant IV: \(x>0\), \(y<0\)

Step2: Analyze Each Ordered Pair

13. \((3, 3)\)

\(x = 3>0\), \(y = 3>0\) → Quadrant I.

14. \((-4, 3)\)

\(x=-4<0\), \(y = 3>0\) → Quadrant II.

15. \((1, 6)\)

\(x = 1>0\), \(y = 6>0\) → Quadrant I.

16. \((7, -2)\)

\(x = 7>0\), \(y=-2<0\) → Quadrant IV.

17. \((5, -8)\)

\(x = 5>0\), \(y=-8<0\) → Quadrant IV.

18. \((-4, -1)\)

\(x=-4<0\), \(y=-1<0\) → Quadrant III.

19. \((-2, 3)\)

\(x=-2<0\), \(y = 3>0\) → Quadrant II.

20. \((-3, -3)\)

\(x=-3<0\), \(y=-3<0\) → Quadrant III.

Answer:

1. Quadrant I
2. Quadrant II
3. Quadrant I
4. Quadrant IV
5. Quadrant IV
6. Quadrant III
7. Quadrant II
8. Quadrant III