Respuesta :
Answer:
180 degrees
Step-by-step explanation:
We are given that
The coordinates of L (1,4)
The coordinates of K(6,4)
The coordinates of L(1,1)
The coordinates of L'(0,-4)
The coordinate of K'(-5,-4)
The coordinates of L'(0,-1).
We are given that triangle JKL convert into triangle J'K'L' by translation 1 units left .
Transformation rule
[tex](x,y)\implies (x-1,y)[/tex]
After translation one unit
The coordinates of J(0,4)
The coordinates of K (5,4)
The coordinates of L(0,1)
Now, the triangle rotating 180 degrees about origin
The rule of transformation is given by
[tex](x,y)\implies (-x,-y)[/tex]
The coordinates of J'(0,-4)
The coordinates of K'(-5,-4)
The coordinates of L'(0,-1).
Hence, the triangle JKL is transformed into triangle J'K'L' when a triangle JKL translate 1 unit left and then rotate 180 degrees about origin.