Revision NotesExam QuestionsFlashcardsPast Papers
IGCSEMathsEdexcelMaths AHigherFlashcardsSequences, Functions & GraphsCoordinate Geometry

Coordinate Geometry (Edexcel IGCSE Maths A)

Flashcards

1/12

0Still learning

Know0

  • Front2D Coordinates

    True or False?

    On a coordinate grid, the point which is 3 units right and 4 units up from the origin has coordinates (3,4).

Enjoying Flashcards?
Tell us what you think

Cards in this collection (12)

  • True or False?

    On a coordinate grid, the point which is 3 units right and 4 units up from the origin has coordinates (3,4).

    True.

    On a coordinate grid, the point which is 3 units right and 4 units up from the origin has coordinates (3,4).

  • Which coordinates would be a units left and b units down from the point open parentheses x comma space y close parentheses?

    The coordinates a units left and b units down from the point open parentheses x comma space y close parentheses would be open parentheses x minus a comma space y minus b close parentheses.

  • State an expression for the coordinates of the midpoint between open parentheses x subscript 1 comma space y subscript 1 close parentheses and open parentheses x subscript 2 comma space y subscript 2 close parentheses.

    The midpoint between open parentheses x subscript 1 comma space y subscript 1 close parentheses and open parentheses x subscript 2 comma space y subscript 2 close parentheses is given by the expression open parentheses fraction numerator x subscript 1 plus x subscript 2 over denominator 2 end fraction comma fraction numerator y subscript 1 plus y subscript 2 over denominator 2 end fraction close parentheses.

  • True or False?

    The x-coordinate of the midpoint is equal to the mean of the x-coordinates of the two points.

    True.

    The x-coordinate of the midpoint is equal to the mean of the x-coordinates of the two points.

    The y-coordinate of the midpoint is also equal to the mean of the y-coordinates of the two points.

  • What does the gradient of a line measure?

    The gradient of a line measures the steepness of the line.

  • True or False?

    A line with a gradient of -4 is steeper than a line with a gradient of -5.

    False.

    A line with a gradient of -5 is steeper than a line with a gradient of -4. The steeper line is the one with the bigger gradient value when you ignore negative signs.

  • True or False?

    The gradient of a line is equal to fraction numerator change space in space y over denominator change space in space x end fraction.

    True.

    The gradient of a line is equal to fraction numerator change space in space y over denominator change space in space x end fraction.

  • State the formula for the gradient of the line that passes through open parentheses x subscript 1 comma y subscript 1 close parentheses and open parentheses x subscript 2 comma y subscript 2 close parentheses.

    The formula for the gradient of the line that passes through open parentheses x subscript 1 comma y subscript 1 close parentheses and open parentheses x subscript 2 comma y subscript 2 close parentheses is m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction.

    The formula m equals fraction numerator y subscript 1 minus y subscript 2 over denominator x subscript 1 minus x subscript 2 end fraction will also give the gradient.

  • True or False?

    A positive gradient means the line goes upwards from bottom left to top right.

    True.

    A positive gradient means the line goes upwards from bottom left to top right.

  • True or False?

    The gradient of the line which passes through open parentheses 4 comma space 5 close parentheses and open parentheses 1 comma space 2 close parentheses can be found by calculating fraction numerator 2 minus 5 over denominator 4 minus 1 end fraction.

    False.

    The gradient of the line which passes through open parentheses 4 comma space 5 close parentheses and open parentheses 1 comma space 2 close parentheses can not be found by calculating fraction numerator 2 minus 5 over denominator 4 minus 1 end fraction.

    The order needs to be consistent. If the second coordinate is used first for the y coordinates, then the second coordinate should be used first for the x coordinates.

    It should be either fraction numerator 2 minus 5 over denominator 1 minus 4 end fraction or fraction numerator 5 minus 2 over denominator 4 minus 1 end fraction.

  • State the formula for the length of the line segment between open parentheses x subscript 1 comma space y subscript 1 close parentheses and open parentheses x subscript 2 comma space y subscript 2 close parentheses.

    The formula for the length of the line segment between open parentheses x subscript 1 comma space y subscript 1 close parentheses and open parentheses x subscript 2 comma space y subscript 2 close parentheses is square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root.

    This is just using Pythagoras' theorem on the line segment between the two points.

  • True or False?

    The length of the line segment between open parentheses 4 comma space minus 1 close parentheses and open parentheses 7 comma space 6 close parentheses can be found by calculating square root of open parentheses 4 minus open parentheses negative 1 close parentheses close parentheses squared plus open parentheses 7 minus 6 close parentheses squared end root.

    False.

    The length of the line segment between open parentheses 4 comma space minus 1 close parentheses and open parentheses 7 comma space 6 close parentheses can not be found by calculating square root of open parentheses 4 minus open parentheses negative 1 close parentheses close parentheses squared plus open parentheses 7 minus 6 close parentheses squared end root. Each bracket should be the difference between the x values or the y values.

    It should be square root of open parentheses 7 minus 4 close parentheses squared plus open parentheses 6 minus open parentheses negative 1 close parentheses close parentheses squared end root.

Previous:FunctionsNext:Linear Graphs y = mx + c

    1. Topic 1

      Number Toolkit

    2. Topic 2

      Set Notation & Venn Diagrams

    3. Topic 3

      Prime Factors, HCF & LCM

    4. Topic 4

      Powers, Roots & Standard Form

    5. Topic 5

      Fractions

    6. Topic 6

      Percentages

    7. Topic 7

      Compound Interest & Depreciation

    8. Topic 8

      Fractions, Decimals & Percentages

    9. Topic 9

      Rounding, Estimation & Bounds

    10. Topic 10

      Surds

    11. Topic 11

      Using a Calculator

    12. Topic 12

      Ratio Toolkit

    13. Topic 13

      Ratio Problem Solving

    14. Topic 14

      Exchange Rates & Best Buys

    15. Topic 15

      Direct & Inverse Proportion

    1. Topic 1

      Algebra Toolkit

    2. Topic 2

      Algebraic Roots & Indices

    3. Topic 3

      Expanding Brackets

    4. Topic 4

      Factorising

    5. Topic 5

      Completing the Square

    6. Topic 6

      Algebraic Fractions

    7. Topic 7

      Rearranging Formulas

    8. Topic 8

      Algebraic Proof

    9. Topic 9

      Solving Linear Equations

    10. Topic 10

      Solving Quadratic Equations

    11. Topic 11

      Solving Inequalities

    12. Topic 12

      Simultaneous Equations

    13. Topic 13

      Forming & Solving Equations

    1. Topic 1

      Sequences

    2. Topic 2

      Functions

    3. Topic 3

      Coordinate Geometry

    4. Topic 4

      Linear Graphs y = mx + c

    5. Topic 5

      Graphs of Functions

    6. Topic 6

      Estimating Gradients

    7. Topic 7

      Real-Life Graphs

    8. Topic 8

      Graphing Inequalities

    9. Topic 9

      Transformations of Graphs

    10. Topic 10

      Differentiation

    1. Topic 1

      Standard & Compound Units

    2. Topic 2

      Angles in Polygons & Parallel Lines

    3. Topic 3

      Bearings, Scale Drawing & Constructions

    4. Topic 4

      Circle Theorems

    5. Topic 5

      Area & Perimeter

    6. Topic 6

      Circles, Arcs & Sectors

    7. Topic 7

      Volume & Surface Area

    8. Topic 8

      Congruence, Similarity & Geometrical Proof

    9. Topic 9

      Area & Volume of Similar Shapes

    10. Topic 10

      Right-Angled Triangles - Pythagoras & Trigonometry

    11. Topic 11

      Sine, Cosine Rule & Area of Triangles

    12. Topic 12

      3D Pythagoras & Trigonometry

    1. Topic 1

      Vectors

    2. Topic 2

      Transformations

    1. Topic 1

      Statistics Toolkit

    2. Topic 2

      Histograms

    3. Topic 3

      Cumulative Frequency Diagrams

    4. Topic 4

      Probability Toolkit

    5. Topic 5

      Probability Diagrams - Venn & Tree Diagrams

    6. Topic 6

      Combined & Conditional Probability