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Co-ordinate Geometry — Flashcards

ICSE · Class 9 · Mathematics

28 flashcards for Co-ordinate Geometry (ICSE Class 9 Mathematics) to test yourself on key terms and facts. Part of the ICSE Class 9 Mathematics syllabus.

37 questions28 flashcards4 formulas & key relations5 concepts

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A diagram illustrating the basic concept of coordinate geometry, showing how a point's position is represented by a pair of numbers (coordinates) relative to two perpendicular number lines.
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28 Flashcards·
Plotting pointsQuadrantsOrdered pairsCoordinates from equationsOrigin
Card 1Plotting points

Plot the point A(4,2). What are the two steps?

Answer

Step 1: Start at the origin and move 4 units along the positive x-axis. Step 2: From there, move 2 units parallel to the positive y-axis. The point lies in the first quadrant. Answer: A(4,2).

Card 2Quadrants

Plot the point B(-5,3). Which quadrant does it lie in?

Answer

Step 1: Move 5 units along the negative x-direction. Step 2: Move 3 units upward parallel to the positive y-axis. The point has negative abscissa and positive ordinate, so it lies in the second quadra…

Card 3Quadrants

Plot the point C(-4,-5). Which signs do the coordinates have?

Answer

Step 1: Move 4 units left from the origin. Step 2: Move 5 units downward. Both abscissa and ordinate are negative, so the point lies in the third quadrant. Answer: C(-4,-5).

Card 4Quadrants

Plot the point D(5,-2). Which quadrant does it lie in?

Answer

Step 1: Move 5 units to the right. Step 2: Move 2 units downward. The abscissa is positive and the ordinate is negative, so the point lies in the fourth quadrant. Answer: D(5,-2).

Card 5Ordered pairs

If two ordered pairs are equal, what must be true? Use (x-3,6)=(4,x+y).

Answer

Equal ordered pairs have equal first components and equal second components. So x-3=4 and 6=x+y. From x-3=4, x=7. Then 6=7+y, so y=-1. Answer: x=7, y=-1.

Card 6Ordered pairs

Why are (5,7) and (7,5) different?

Answer

Order matters in an ordered pair. The first component and second component are not interchangeable. Since (5,7) has first component 5 and second component 7, while (7,5) has first component 7 and seco…

Card 7Coordinates from equations

Find the coordinates of a point whose abscissa and ordinate satisfy: 0.5x - 3 = -0.25x and 8 - 0.2(y+3) = 3y + 1.

Answer

For x: 0.5x - 3 = -0.25x 0.5x + 0.25x = 3 0.75x = 3 x = 4 For y: 8 - 0.2(y+3) = 3y + 1 8 - 0.2y - 0.6 = 3y + 1 7.4 - 0.2y = 3y + 1 6.4 = 3.2y y = 2 Answer: (4,2).

Card 8Origin

What are the coordinates of the origin?

Answer

The origin is the point where the x-axis and y-axis meet. Its coordinates are (0,0). Answer: (0,0).

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Frequently Asked Questions

What are the important topics in Co-ordinate Geometry for ICSE Class 9 Mathematics?
Key topics in Co-ordinate Geometry include Basic Ideas: Co-ordinates, Ordered Pairs, and Axes, Quadrants and Sign Convention, Points on the Axes, Linear Equations, Dependence, and Graphs. Study these first, then practise questions on each for Class 9 exams.
How many flashcards are available for Co-ordinate Geometry?
There are 28 flashcards for Co-ordinate Geometry covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Co-ordinate Geometry for Class 9 exams?
Learn the core ideas first, then work through the 37 practice questions on Co-ordinate Geometry. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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