which rigid transformations would map △jkl onto △pqr? select the three correct answers. a reflection only a…

which rigid transformations would map △jkl onto △pqr? select the three correct answers. a reflection only a rotation only a rotation and a reflection a translation and a reflection a translation only

which rigid transformations would map △jkl onto △pqr? select the three correct answers. a reflection only a rotation only a rotation and a reflection a translation and a reflection a translation only

Answer

Explanation:

Step1: Understand rigid - transformations

Rigid transformations include translation, rotation, and reflection. They preserve the shape and size of the figure.

Step2: Analyze each option

  • A reflection only: Depending on the orientation of the triangles, a single reflection might not map one onto the other.
  • A rotation only: A single rotation might not align the triangles correctly.
  • A rotation and a reflection: This combination can change both the orientation and the side - facing direction, which may map $\triangle{JKL}$ onto $\triangle{PQR}$.
  • A translation and a reflection: A translation moves the figure and a reflection flips it. This can map one triangle onto the other.
  • A translation only: A translation just moves the figure without changing its orientation, and it may not map one triangle onto the other as their orientations seem different.

Answer:

a rotation and a reflection, a translation and a reflection