AA similarity — Geometry, what it means and where it is taught
Two pairs of congruent angles prove two triangles similar.
Taught in Geometry.
Where it is taught
What it rests on
Work through these first if this one does not settle.
- Congruent — Same size and same shape. Written △ ABC ≅ △ DEF.
- Similar — Same shape, possibly different size. Written △ ABC ∼ △ DEF.
- Prove — The statement you must arrive at. Always the last line.
Practise this idea
1 question in the course bank use AA similarity, in Similarity & Proportionality.
Problem 1
Two pairs of sides in ratio with the included angles congruent proves
- SAS similarity
- SSS similarity
- AA similarity
- congruence
Worked answer
SAS similarity
Two sides in ratio plus the angle between them.
That is SAS similarity.