Track quiz
Ten ideas, ten checks. The table comes first.
| Idea | How it goes |
|---|---|
| The pair | First across, second up, from the origin. Swap them and the point changes, unless the two numbers match. |
| The quadrant | Two signs pick the region. A zero puts the point on an axis instead. |
| A shared coordinate | One subtraction. Never negative. |
| The distance | Square both gaps, add, then undo the square. |
| The midpoint | Average each coordinate on its own. |
| Three in a line | The two hops cross-multiply to equal products. |
| A square corner | Two squared sides add to the third, exactly. |
| The name | Measure the four sides, the two diagonals, and their midpoints. |
| A mirror | In the y-axis, (x, y) goes to (−x, y). In the x-axis, (x, y) goes to (x, −y). Lengths stay the same. |
| Against a circle | Compare x² + y² with r². Less is inside, equal is on, more is outside. |
A map has the well at the origin. The pump is at (3, 4). The school is at (4, 3). What do those two pairs tell you?
Which quadrant holds the point (6, 0)?
How far apart are (−4, 6) and (5, 6)?
What is the distance between (−3, −4) and (4, 20)?
What is the midpoint of (−4, 3) and (10, 9)?
Are (0, 2), (3, 7) and (9, 17) in one line?
A triangle has sides 6, 5 and 5. Is any corner exactly 90°?
Corners give diagonal squares 34 and 18, with the same midpoint. What name fits best?
The dot (−6, 2) is reflected in the y-axis. Where is its image?
A circle has centre O and radius 6. Where is the dot (3, 5)?
That is Chapter 1 of your NCERT book.
Next: Introduction to Linear Polynomials. One rule, one line, and two numbers that place it.