Question

triangle abc is the dilation of triangle abc. which algebraic representation shows this dilation? (x, y) --> (1/2x, 1/2y) (x, y) --> (x + 1/2, y)

Explanation:

Step1: Understand dilation concept

Dilation is a transformation that changes the size of a figure. In a dilation \((x,y)\to(kx,ky)\) where \(k\) is the scale factor.

Step2: Analyze the given options

• For \((x,y)\to(x + 1/2,y)\), this is a translation (horizontal shift), not a dilation.
• For \((x,y)\to(1/2x,1/2y)\), this is in the form of a dilation \((x,y)\to(kx,ky)\) with \(k = 1/2\).

Answer:

\((x,y)\to(1/2x,1/2y)\)