Chapter 7: Geometry: congruence and similarity Notes

Angle facts for parallel lines, triangles and polygons, properties of quadrilaterals, congruence tests and simple proofs, enlargement, and similar triangles with their applications.

Sections

  1. 7A Angles, triangles and polygons Mastered

    Angle relationships on parallel lines, triangle angle sum and exterior angle, isosceles triangles, polygon angle sums and quadrilateral properties, with reasons.

  2. 7B Congruence and proofs Mastered

    Congruence tests SSS, SAS, AAS and RHS, writing a congruence proof with reasons, and using congruent triangles to prove properties of shapes.

  3. 7C Similar figures and similar triangles Mastered

    Enlargement and scale factor, the four tests for similar triangles, matching sides and finding unknown lengths.

  4. 7D Applying similar triangles Mastered

    Proving triangles similar, nested triangles with a parallel side, and solving shadow and height problems.

Formula sheet