Back to Prove triangles congruent — Problem 1 · Task Set 7

Exercises: Prove Triangles Congruent Using Rigid Motions

Work through each section in order. Show your reasoning where indicated.

Grade 9·20 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-co-b-7

Work through problems with immediate feedback

Fluency Practice

Apply the biconditional and CPCTC directly.

The biconditional for triangle congruence states: $\triangle ABC \cong \triangle DEF$ if and only if all corresponding sides and angles are congruent. How many separate congruence conditions does this require?

Three — one for each pair of corresponding sides

Three — one for each pair of corresponding angles

Six — three pairs of sides and three pairs of angles

Two — the biconditional has two directions