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General Information
Related Benchmark: MAFS.912.G-C.1.1
Reporting Category: Geometry: Circles
Type: EE: Equation Editor
Difficulty: N/A
Question:

Circle A has a center at the origin and a point D located on the circle at (1,0). Circle B has a center at (1,-2) and a point E located on the circle at (4,-2).

Logan performs two transformations on circle A to show that circle A is similar to circle B.

He first dilates the circle with the center of dilation at the origin and then translates the new circle.

What are the algebraic descriptions of the two transformations?

Possible Answer:
 begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis 3 x comma 3 y right parenthesis end style

 

begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis x plus 1 comma y minus 2 right parenthesis end style