Mixed Proof Practice

You have built each kind of proof on its own page, where the type was never in doubt — the segment page always wanted the Segment Addition Postulate, the triangle page always ended in CPCTC. Real problems do not announce themselves.

This page interleaves them. Each round hands you a proof from any family — an algebraic solve, vertical angles, segment or angle addition, a triangle congruence — with no label. The skill this trains is the one a test actually measures: looking at the givens and deciding which argument to build, before you write a single line.

Why interleaving is the point

Practising one type in a block feels smoother, but it lets you run on autopilot — you stop reading the problem because you already know the move. Mixing the types forces the harder, more durable skill: recognising the situation and selecting the strategy. It feels slower because it is doing more.

Build the proof — whatever it turns out to be

Read the Given and Prove, then assemble the argument. As you string clean proofs together the support fades, until you are working the way you would on the Regents: the whole proof, in a valid order, checked all at once.