Write a similarity proof worksheets

The similar-triangle proof sheets hide one reason and let a child choose it; this is the next step, where the table is empty and the whole argument is theirs to write. A diagram, a Given, a Prove — and room to build a similarity proof from nothing.

Write a similarity proof
Write a similarity proof worksheet — Blank two-column similarity proof to write, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

Where the congruence version of this sheet finishes on SSS, SAS, ASA or AAS, this one ends on the similarity rules: AA, SAS~ or SSS~. Most arguments start from a line drawn parallel to one side of a triangle, which hands a child Corresponding or Alternate Interior Angles, and two equal angles are enough — that is AA. The Reflexive Property supplies the angle a nested triangle shares with the whole.

Why this sheet works

This is a written worksheet, not an online exercise, for the reason every proof sheet is: a proof has many valid orderings and wordings, so it cannot mark itself. The answer key is the model — every statement and the reason it rests on, written out in full — which is exactly what a child checks their own argument against.