Question

a figure is dilated by a scale factor of -1. what is the result of this transformation? a. the figure remains unchanged. b. the figure is flipped across the origin and maintains its proportions. c. the figure is flipped upside down and resized. d. the figure is flipped and moved. what sequence of transformations will map a triangle from (1,1), (3,1), and (2,4) to (-1,-1), (-3,-1), and (-2,-4)?

Explanation:

Step1: Recall dilation property

Dilation by - 1 flips across origin.

Step2: Analyze triangle transformation

The points \((x,y)\) change to \((-x,-y)\) which is dilation by - 1.

Answer:

1. B. The figure is flipped across the origin and maintains its proportions.
2. A dilation by a scale factor of - 1.