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Flashcards · Maths · Transformations and Similarity

Congruence and Similarity

16 cards

  1. What are congruent shapes?

    Shapes with exactly the same size and shape.

  2. What are similar shapes?

    Shapes with the same shape but not necessarily the same size.

  3. What are the conditions for congruent triangles?

    SSS, SAS, ASA and RHS.

  4. What does SSS mean?

    All three sides are equal.

  5. What does SAS mean?

    Two sides and the angle between them are equal.

  6. What does ASA mean?

    Two angles and a side are equal.

  7. What does RHS mean?

    A right angle, the hypotenuse and another side are equal.

  8. Why is AAA not enough for congruence?

    The triangles could be different sizes.

  9. What do you give in a congruence proof?

    Each equal pair with a reason, and the condition.

  10. What reasons can you use for equal sides or angles?

    Given, common side, vertically opposite angles, or alternate angles.

  11. How do you find the scale factor for similar shapes?

    Divide the length on one shape by the matching length on the other.

  12. If two angles of a triangle are equal to two of another, are the triangles similar?

    Yes, because the third angles are equal too.

  13. What is the area scale factor if the length scale factor is \(k\)?

    \(k^2\) (Higher tier).

  14. What is the volume scale factor if the length scale factor is \(k\)?

    \(k^3\) (Higher tier).

  15. Two similar shapes have areas in the ratio \(4 : 9\). What is the ratio of their lengths?

    \(2 : 3\) (Higher tier).

  16. What are corresponding sides?

    Sides in the same position on similar shapes.