Video Transcript
What type of geometrical
transformation has been applied to the quadrilateral π΄π΅πΆπ·?
Weβre asked to determine what
type of transformation has been applied to the given quadrilateral. We need to treat π΄π΅πΆπ· as
the object and π΄ prime π΅ prime πΆ prime π· prime as its image following
transformation. The types of transformation we
need to consider are translation, rotation, and reflection. And in order to determine which
of these has been applied, letβs consider the properties of the object and its
image.
First, we can see that all
corresponding vertices are in the same position on both shapes. Starting in the lower-left
corner, the vertices on both are labeled in alphabetical order in the
counterclockwise direction. We can also see that the object
and its image are the same size and in the same orientation. This means that the
transformation applied cannot be a rotation or a reflection, as for each of
these, the object and its image would not be in the same orientation.
In the case of a reflection,
the clockwise or counterclockwise labeling of the vertices would also not be
preserved. In fact, the only thing that
has changed is the position of the shape. Each vertex has moved the same
distance in the same direction, which corresponds to a translation. So, we can conclude that the
type of geometrical transformation that has been applied to the quadrilateral
π΄π΅πΆπ· is a translation.
