Class 8 & 9 Mathematics Foundations: Algebra, Geometry, Probability & Proportional Reasoning: 20 flashcards
All 20 flashcards from this kit, free and with no sign-up.
1. How is a point on the Cartesian plane written?
Show the answer
As an ordered pair $(x, y)$.
2. What does the x-coordinate tell you?
Show the answer
The horizontal position — how far left or right from the y-axis.
3. What does the y-coordinate tell you?
Show the answer
The vertical position — how far up or down from the x-axis.
4. What is the origin and what are its coordinates?
Show the answer
The point where the x-axis and y-axis meet; its coordinates are $(0, 0)$.
5. How are the four quadrants numbered?
Show the answer
Counter-clockwise starting from the top-right: I, II, III, IV.
6. What are the sign patterns of the four quadrants?
Show the answer
I: $(+,+)$, II: $(-,+)$, III: $(-,-)$, IV: $(+,-)$.
7. Which quadrant does a point with signs $(-, +)$ lie in?
Show the answer
Quadrant II (top-left).
8. Do points on an axis belong to a quadrant?
Show the answer
No — points on an axis belong to no quadrant; they sit on the boundary.
9. What is the first step when plotting a point $(x, y)$?
Show the answer
Move along the x-axis first (right if positive, left if negative).
10. After moving along the x-axis, what is the second step?
Show the answer
Move parallel to the y-axis (up if positive, down if negative).
11. Are $(3,5)$ and $(5,3)$ the same point?
Show the answer
No — order matters; they are different points.
12. What is the distance formula between $(x_1,y_1)$ and $(x_2,y_2)$?
Show the answer
$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.
13. Where does the distance formula come from?
Show the answer
The Pythagorean theorem applied to the horizontal and vertical gaps.
14. What is the midpoint formula?
Show the answer
$\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$.
15. Is distance symmetric? Explain.
Show the answer
Yes — distance from A to B equals distance from B to A, because the squares make the order of subtraction irrelevant.
16. What is the y-coordinate of any point on the x-axis?
Show the answer
$0$.
17. What is the x-coordinate of any point on the y-axis?
Show the answer
$0$.
18. How do the signs of coordinates help before plotting?
Show the answer
They predict the quadrant, giving a quick sanity check.
19. What does coordinate geometry link together?
Show the answer
Algebra (equations) with geometry (shapes).
20. Give a real-world use of ordered pairs.
Show the answer
GPS coordinates, screen pixels, and map apps all use ordered pairs.
Your notes can be a kit like these
Every kit here was made from real study material. Point Veda at a chapter, a PDF, a photo or a link and get notes, flashcards, practice MCQs, games and a scored test — free, in 42 languages.
- Chapter notes
- Flashcards
- Practice MCQs
- Scored tests
- Exam prep
Get Veda free See what students get
Free to start · No ads · Works in 42 languages