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Coordinates in Mathematics.
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Introduction: Coordinates. • Coordinates are numbers that show the position of a point on a plane/graph. • We use two numbers: 1. x-coordinate (horizontal position) 2. y-coordinate (vertical position) Example: Point (3, 2) means → 3 steps right and 2 steps up..
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Cartesian Plane. • Invented by René Descartes • It has: X-axis (horizontal line) Y-axis (vertical line) • They meet at Origin (0, 0).
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Coordinates of a Point. • Written as (x, y) • Example: (4, 3) → 4 units right, 3 units up (-2, 5) → 2 units left, 5 units up • Rule: Always write x first, then y.
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Four Quadrants. • The plane is divided into 4 quadrants: 1. Quadrant I: (+x, +y) eg...... 2. Quadrant II: (–x, +y) eg...... 3. Quadrant III: (–x, –y) eg...... 4. Quadrant IV: (+x, –y) eg.......
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Examples. After Plotting these points; A(2, 3) → Quadrant I B(-4, 2) → Quadrant II C(-3, -5) → Quadrant III D(5, -2) → Quadrant IV.
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Real-Life Uses of Coordinates. • Maps (latitude & longitude) • GPS navigation • Computer graphics • Video games.
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Summary. • Coordinates locate a point on a plane; • Written as (x, y) • Plane has 4 quadrants • Origin is (0, 0) • (x, 0) lies in x-axis • (0, y) lies in y-axis.
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Practice Questions. 1. Plot these points: P (1, 2), Q (-2, 3), R (-3, -4), S (4, -1) 2. Which quadrant is the point (–5, 6) in? 3. Write the coordinates of the origin. 4. Write the axis of (0, 5). 5. Write the axis of (-7, 0). 6. Define absicca and ordinates..
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+, -, Thank You, ÷ , ×.