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Maths Gcse Aqa Foundation

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  1. Scatter-Graphs-And-Correlation Aqa Foundation
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  2. Statistical-Diagrams Aqa Foundation
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  3. Averages-Ranges-And-Data Aqa Foundation
    7 主题
  4. Tree-Diagrams-And-Combined-Probability Aqa Foundation
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  5. Simple-Probability-Diagrams Aqa Foundation
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  6. Transformations Aqa Foundation
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  7. Vectors Aqa Foundation
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  8. Pythagoras-And-Trigonometry Aqa Foundation
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  9. Congruence-Similarity-And-Geometrical-Proof Aqa Foundation
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  10. Volume-And-Surface-Area Aqa Foundation
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  11. Circles-Arcs-And-Sectors Aqa Foundation
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  12. Area-And-Perimeter Aqa Foundation
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  13. Bearings-Scale-Drawing-Constructions-And-Loci Aqa Foundation
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  14. 2D-And-3D-Shapes Aqa Foundation
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  15. Angles-In-Polygons-And-Parallel-Lines Aqa Foundation
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  16. Symmetry-And-Shapes Aqa Foundation
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  17. Exchange-Rates-And-Best-Buys Aqa Foundation
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  18. Standard-And-Compound-Units Aqa Foundation
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  19. Direct-And-Inverse-Proportion Aqa Foundation
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  20. Ratio-Problem-Solving Aqa Foundation
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  21. Sequences Aqa Foundation
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  22. Solving-Inequalities Aqa Foundation
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  23. Real-Life-Graphs Aqa Foundation
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  24. Graphs-Of-Functions Aqa Foundation
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  25. Linear-Graphs Aqa Foundation
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  26. Coordinate-Geometry Aqa Foundation
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  27. Functions Aqa Foundation
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  28. Forming-And-Solving-Equations Aqa Foundation
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  29. Simultaneous-Equations Aqa Foundation
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  30. Solving-Quadratic-Equations Aqa Foundation
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  31. Linear-Equations Aqa Foundation
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  32. Algebraic-Reasoning Aqa Foundation
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  33. Rearranging-Formulas Aqa Foundation
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  34. Introduction Aqa Foundation
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  35. Factorising Aqa Foundation
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  36. Expanding-Brackets Aqa Foundation
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  37. Algebraic-Roots-And-Indices Aqa Foundation
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  38. Using-A-Calculator Aqa Foundation
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  39. Exact-Values Aqa Foundation
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  40. Rounding-Estimation-And-Error-Intervals Aqa Foundation
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  41. Fractions-Decimals-And-Percentages Aqa Foundation
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  42. Simple-And-Compound-Interest-Growth-And-Decay Aqa Foundation
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  43. Percentages Aqa Foundation
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  44. Fractions Aqa Foundation
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  45. Powers-Roots-And-Standard-Form Aqa Foundation
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  46. Types-Of-Number-Prime-Factors-Hcf-And-Lcm Aqa Foundation
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  47. Number-Operations Aqa Foundation
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Exam code:8300

Congruence

What is congruence?

  • Two shapes are congruent if they are identical in shape and size

    • One may be a reflectionrotation, or translation of the other

  • If one shape is an enlargement of the other, then they are not identical in size and so are not congruent

How do we prove that two shapes are congruent?

  • To show that two shapes are congruent you need to show that they are both the same shape and the same size

    • If a shape has been reflected, rotated or translated, then its image is congruent to it

  • Show that corresponding sides are the same length

  • Show that corresponding angles are the same size

  • You do not need to show that they are facing in the same direction

Examiner Tips and Tricks

  • Tracing paper can help in the exam if you are unsure whether two shapes are congruent

    • Trace over one shape and then see if it fits exactly on top of the other

    • Only do this if the image is drawn to scale

Worked Example

Write down the letters of the two shapes below which are congruent to A.

4-5-1-congruence-we-question

Shapes C and D are congruent to A

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