A sequence of transformations is applied to triangle MNO to create triangle M'N'O'. Select all that apply
Select all the sequences of transformations that could be applied to triangle MNO so that triangle MNO (equal sign with "~" over it) M'N'O (3 answers)
A. a clockwise rotation of 90 degrees and then a dilation by a scale factor of 3
B. a dilation by a scale factor of 3 and then a reflection across the x-axis
C. A counter clockwise rotation of 90 degrees and then a reflection across the y-axis
D. a translation 6 units up and then a dilation by scale factor of 3
E. a translation of 6 units down and then a counter clockwise rotation of 90 degrees
F. a reflection across the x-axis and then a translation 6 units down
My answers were A, E, and F. Were they correct? If not which ones were wrong?
C
E
F
I just finished taking this and got 100%
Your answers are correct. The sequences of transformations that could be applied to triangle MNO so that triangle MNO ≈ M'N'O' are:
A. a clockwise rotation of 90 degrees and then a dilation by a scale factor of 3 (A).
E. a translation of 6 units down and then a counterclockwise rotation of 90 degrees (E).
F. a reflection across the x-axis and then a translation 6 units down (F).
Well done!
To determine which sequences of transformations could be applied to triangle MNO to create triangle M'N'O', we need to analyze each option and see if it matches the given conditions.
A. a clockwise rotation of 90 degrees and then a dilation by a scale factor of 3:
To perform this sequence, you would first rotate triangle MNO 90 degrees clockwise. This would change the orientation of the triangle. Then, you would dilate the rotated triangle by a scale factor of 3, which would enlarge the triangle uniformly. This sequence of transformations could result in triangle M'N'O'.
B. a dilation by a scale factor of 3 and then a reflection across the x-axis:
To perform this sequence, you would first dilate triangle MNO by a scale factor of 3, which would enlarge the triangle uniformly. Then, you would reflect the dilated triangle across the x-axis. This sequence of transformations could result in triangle M'N'O'.
C. A counterclockwise rotation of 90 degrees and then a reflection across the y-axis:
To perform this sequence, you would first rotate triangle MNO 90 degrees counterclockwise. This would change the orientation of the triangle. Then, you would reflect the rotated triangle across the y-axis. This sequence of transformations could result in triangle M'N'O'.
D. a translation 6 units up and then a dilation by a scale factor of 3:
To perform this sequence, you would first translate triangle MNO 6 units up, which would move the entire triangle vertically. Then, you would dilate the translated triangle by a scale factor of 3, which would enlarge the triangle uniformly. This sequence of transformations does not match the given conditions of triangle MNO being transformed to triangle M'N'O'.
E. a translation of 6 units down and then a counterclockwise rotation of 90 degrees:
To perform this sequence, you would first translate triangle MNO 6 units down, which would move the entire triangle vertically. Then, you would rotate the translated triangle 90 degrees counterclockwise. This sequence of transformations could result in triangle M'N'O'.
F. a reflection across the x-axis and then a translation 6 units down:
To perform this sequence, you would first reflect triangle MNO across the x-axis, which would change the orientation of the triangle. Then, you would translate the reflected triangle 6 units down, which would move the entire triangle vertically. This sequence of transformations could result in triangle M'N'O'.
Based on the analysis above, your correct answers are A (a clockwise rotation of 90 degrees and then a dilation by a scale factor of 3), E (a translation of 6 units down and then a counterclockwise rotation of 90 degrees), and F (a reflection across the x-axis and then a translation 6 units down).