a
a rotation of 180 degrees counterclockwise about vertex X followed by a dilation through vertex X by scale factor less than 1
b
a reflection over line n followed by a dilation through vertex X by scale factor greater than 1
c
a rotation of 180 degrees counterclockwise about vertex X followed by a dilation through vertex X by scale factor greater than 1
d
a reflection over line n followed by a dilation through vertex X by scale factor less than 1
3 answers
d) a reflection over line n followed by a dilation through vertex X by scale factor less than 1
how do you know
We need to first understand the effect of each transformation on the figure:
a) A rotation of 180 degrees counterclockwise about vertex X will flip the figure upside down. Followed by a dilation through vertex X by a scale factor less than 1 will result in a smaller figure that is also upside down.
b) A reflection over line n will flip the figure horizontally. Followed by a dilation through vertex X by a scale factor greater than 1 will result in a bigger figure that is also horizontally flipped.
c) A rotation of 180 degrees counterclockwise about vertex X will flip the figure upside down. Followed by a dilation through vertex X by a scale factor greater than 1 will result in a bigger figure that is also upside down.
d) A reflection over line n will flip the figure horizontally. Followed by a dilation through vertex X by a scale factor less than 1 will result in a smaller figure that is not flipped.
So, option d) is the answer, as it accurately describes the sequence of transformation that will result in a smaller figure that is not flipped.
a) A rotation of 180 degrees counterclockwise about vertex X will flip the figure upside down. Followed by a dilation through vertex X by a scale factor less than 1 will result in a smaller figure that is also upside down.
b) A reflection over line n will flip the figure horizontally. Followed by a dilation through vertex X by a scale factor greater than 1 will result in a bigger figure that is also horizontally flipped.
c) A rotation of 180 degrees counterclockwise about vertex X will flip the figure upside down. Followed by a dilation through vertex X by a scale factor greater than 1 will result in a bigger figure that is also upside down.
d) A reflection over line n will flip the figure horizontally. Followed by a dilation through vertex X by a scale factor less than 1 will result in a smaller figure that is not flipped.
So, option d) is the answer, as it accurately describes the sequence of transformation that will result in a smaller figure that is not flipped.
1 answer