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

Answer 1

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

By observing each of the vertices of a triangle, we can say that all the vertices have been slided or shifted toward the right by 6 units and also 3 units down. 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 right, i.e., in the positive $x$ direction and 3 units down, i.e., in the negative $y$ direction.
There is no change in the orientation of the triangle that can be observed. So, the transformation involved in moving $\Delta ABC$ is translation.