Answer:
Both triangles will be similar
Step-by-step explanation:
See comment for complete question.
Given
Let the coordinates of the triangle be T(x,y)
First transformation: Dilation by 1/3
The new points will be:
Second: Reflection over the x-axis
When a point (x,y) is reflected over the x-axis, the new point is (x,-y).
So, we have:
Third: Translation 3 units left and 2 units up.
When a point (x,y) is translated b units left and h units up, the new point is (x - b,y+h).
In this case:
and
So, we have:
Hence, the coordinate of the new triangle will be:
<em>Additionally, both triangles will be similar because all the transformation done are rigid transformations i.e. Dilation, Reflection and Translation</em>