Question

determine a series of transformations that would map figure a onto figure b.
coordinate plane image with figure a and figure b
answer attempt 2 out of 3
a followed by a dropdown.

Explanation:

Step1: Identify Rotation

First, we can rotate Figure A 90 degrees counterclockwise (or clockwise, depending on analysis) around the origin or a vertex. Let's consider rotating 90° counterclockwise about the point (1,3) (a common vertex). The rotation rule for 90° counterclockwise is \((x,y)\to(-y + h,x - h)\) where \((h,k)\) is the center, but simpler: visually, rotating Figure A 90° counterclockwise aligns its orientation with Figure B.

Step2: Identify Translation

After rotation, we translate (slide) the figure. Let's check coordinates: Figure A's vertices (approx: (1,3), (4,7), (6,1)) and Figure B's (approx: (-6,5), (-3,4), (-5,-1)). After rotating 90° counterclockwise (e.g., (x,y)→(-y,x) for origin, but adjusting), then translating left and down. Alternatively, first rotate 90° counterclockwise, then translate 7 units left and 0 (or small) vertical. Or another approach: Reflect? No, rotation then translation. A common series: Rotate 90° counterclockwise about the origin, then translate left 7 units (or specific vector).

Answer:

A possible series: Rotation (90° counterclockwise) followed by a Translation (left 7 units, for example). So in the dropdowns: first "Rotation (90° counterclockwise)" followed by "Translation (left 7 units, down 0 or as needed)". But based on typical problems, the transformations are Rotation (90° counterclockwise) followed by a Translation (or vice - versa, but rotation then translation is common here).