Exercises: Use Rigid Motions to Define and Determine Congruence

Work through each section in order. For problems that ask you to find a rigid motion, verify your answer by checking every vertex.

Grade 9·20 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-co-b-6

Work through problems with immediate feedback

Fluency Practice

Apply rigid motions and the definition of congruence to answer each problem.

According to the rigid-motion definition, two figures are congruent if and only if:

They have the same perimeter and area

They are in the same position and have the same orientation

There exists a sequence of rigid motions mapping one figure exactly onto the other

There exists a sequence of rigid motions or dilations mapping one figure
onto the other