Question

Describe the location of the blue figure relative to the location of the orange figure, and identify the type of transformation.

• A. The orange figure was reflected along the $y$-axis.
• B. The orange figure was translated $4$ units in the direction of the positive $x$-axis and $2$ units in the direction of the negative $y$-axis.
• C. The orange figure was translated $6$ units in the direction of the positive $x$-axis and $3$ units in the direction of the negative $y$-axis.
• D. The orange figure was rotated $90°$ about the origin.

Answer 1

The correct option is C The orange figure was translated $6$ units in the direction of the positive $x$-axis and $3$ units in the direction of the negative $y$-axis.

Observing each of the vertices of the triangle, we can say that all the vertices have been shifted toward the right by $6$ units and $3$ units downward. In other words, every point of the figure moves the same distance and in the same direction.
This implies that the transformation involved here is translation.



The orange figure $ABC$ undergoes translation when we move or slide it $6$ units to the right, i.e., in the direction of the positive $x$-axis. and $3$ units downward, i.e., in the direction of the negative $y$-axis.
There is no change in the orientation of the triangle. So, the transformation involved in moving $△ABC$ is translation.