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Back to Use rigid motions for congruence — Problem 2 · Task Set 6

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
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Fluency Practice

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

Coordinate plane showing triangle PQR with vertices P(2,1), Q(5,1), R(2,4) above the x-axis, with the x-axis marked as the line of reflection.
1.

Triangle PQRPQR has vertices P(2,1)P(2, 1), Q(5,1)Q(5, 1), and R(2,4)R(2, 4).
It is reflected over the xx-axis. In which quadrant does vertex R′R' land,
and does the reflection reverse the orientation of the triangle?