ABC goes through a sequence of transformations to form A’B’C’. The sequence of transformations involved is a:
A) rotation 180 degrees counterclockwise about the origin
B) translation 2 units to the right
C) translation 4 units to the left
D) reflection across the line y=x
followed by a:
A) reflection across the x-axis
B) reflection across the y-axis
C) rotation 90 degrees clockwise about the origin
D) translation 4 units to the right
ABC goes through a sequence of transformations to form A'B'C'. The sequence of transformations involved are
B) translation 2 units to the right and followed by a
B) reflection across the y-axis
This can be explained by using the graph andthe definition of transformation
Transformations:
Transformations are changes done in the shapes on a coordinateplane
There are four types of transformations. They are translation, rotation, reflection, and dilation
The translation is moving a function in a specific direction, rotation is spinning the function about a point, reflection is the mirrorimage of the function, and dilation is the scaling of a function
The translation, rotation, and reflection are called rigidtransformations wherein the image is congruent to its pre-image. These are isometric transformations
Dilation stretches or shrinks the pre-image i.e., expands or contracts the shape. It is non-isometric.
The sequence of transformations involved:
From all the information given above, it came to know that the sequence of transformations involved in transforming ABC to A'B'C' is translation and reflection.
ABC is translated by 2 units to the right, it is shown in the graph
And followed by a reflection across the y-axis
There is no rotation happened
Thus, from the graph it is clear that the sequence of transformations involved is B) translation by 2 units to the right and followed by a B) reflection across the y-axis.
