Two figures are congruent figures if there is a transformation or sequence of transformations that maps one of the figures onto the other. As a result, congruent figures have the same size and shape.
To decide whether the figures are congruent, we will recall the definition of congruent figures.
Congruent Figures
Two figures are congruent figures if there is a transformation or sequence of transformations that maps one of the figures onto the other. As a result, congruent figures have the same size and shape.
This means that we need to identify the transformations that maps the blue figure onto the orange figure. Notice that the blue figure is orientated to the left and the orange figure is orientated down. We need to rotate the blue figure 90^(∘) in a counterclockwise direction about the origin.
Now we will translate the image obtained from the rotation to the right. Then, we will translate the new image down to obtain the orange figure.
After a rotation and two transformations, we mapped the blue figure onto the orange figure. Therefore, they are congruent.
