Question

graph the image of △tuv after the following sequence of transformations: translation 20 units left and 3 units down rotation 180° counterclockwise around the origin

Explanation:

Step1: Identify original coordinates

Assume U(8,-6), V(6,-8), T(10,-8)

Step2: Apply translation (left 20, down 3)

U: (8-20,-6-3)=(-12,-9); V: (6-20,-8-3)=(-14,-11); T: (10-20,-8-3)=(-10,-11)

Step3: Rotate 180° around origin: (x,y)→(-x,-y)

U': (12,9); V': (14,11); T': (10,11)

Answer:

The image has vertices at (12,9), (14,11), (10,11)