Question

for the figure below, do a dilation centered at the origin with a scale factor of 2. then, give the endpoints for both the original figure and the final figure. endpoints of original figure: left: (□,□) right: (□,□) endpoints of final figure: left: (□,□) right: (□,□)

Explanation:

Step1: Identify original endpoints

From the graph, the left endpoint (x,y) is (6,4) and right is (8,4).

Step2: Apply dilation (scale factor 2)

Dilation rule: (x,y) → (2x, 2y). So left becomes (26, 24)=(12,8), right becomes (28, 24)=(16,8).

Answer:

Endpoints of original figure:
Left: (6, 4)
Right: (8, 4)
Endpoints of final figure:
Left: (12, 8)
Right: (16, 8)