Comparing Rigid Transformations Quick Check 2 of 52 of 5 Items Question Which rigid transformation could be defined as a turn around a center point determined by an angle measured in degrees?(1 point) Responses a rotation a rotation a dilation a dilation a translation a translation a reflection a reflection Skip to navigation page 16 of 16 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
4 answers
The rigid transformation that could be defined as a turn around a center point determined by an angle measured in degrees is a rotation.
When triangle \( \triangle EFG \) is rotated −90 degrees (clockwise) to create triangle \( \triangle XYZ \), the following statements must be true:
- ∠F ≅ ∠Z (angle F is congruent to angle Z)
- ∠E ≅ ∠X (angle E is congruent to angle X)
- EG ≅ XY (side EG is congruent to side XY)
- EF ≅ XZ (side EF is congruent to side XZ)
However, the correct answer to the question is one statement reflecting a true relationship after the rotation. Generally, the angle established by each corresponding vertex remains congruent and the corresponding sides will also be equal in length after transformation.
Thus, the best responses are:
- \( ∠F ≅ ∠Z \)
- \( EG ≅ XY \)
- \( EF ≅ XZ \)
You can choose any one of these that reflects the congruency after the rotation. If you have to select just one, ∠F ≅ ∠Z is a strong choice, since angle congruence is directly affected by the transformation.
1 answer