Triangle RST has angles measuring 38° and 75°. Triangle R′S′T′ has angles measuring 67° and 38°. The sides are proportional.. Is it dilation? If not what is it??
The third angle of triangle RST is 180-38-75 = 67
which is one of the given angle of the second triangle.
So both triangles have the same angles and the sides are proportional.
The two triangles are similar, therefore one is a dilation of the other.
To determine the relationship between triangle RST and triangle R′S′T′, we need to compare their angles and sides.
First, let's consider the angles. We know that triangle RST has angles measuring 38° and 75°, while triangle R′S′T′ has angles measuring 67° and 38°.
The angle measures can provide an indication of whether the relationship between triangles RST and R′S′T′ is a dilation or not. In a dilation, the corresponding angle measures between two triangles are the same. However, in this case, the angles are not corresponding.
Therefore, we can conclude that the relationship between triangle RST and R′S′T′ is not a dilation. A dilation would require the corresponding angles to be the same, which is not the case here.
Without further information, it is challenging to determine the exact relationship between the two triangles. However, we can infer that it could be a different type of transformation, such as a shear, rotation, or reflection. These transformations would affect the angles and side proportions differently than a dilation would.