Question

2 dakota wants to prove that figures a and b are similar. what sequence of transformations could dakota perform to prove that the figures are similar? show your work.

Explanation:

Step1: Translate Figure A

Translate Figure A 4 units to the right. If a point \((x,y)\) in Figure A, the new - point after translation will be \((x + 4,y)\).

Step2: Dilate the Translated Figure A

Dilate the translated Figure A by a scale factor of 2 centered at the origin. If a point \((x,y)\) of the translated figure, the new point \((x',y')\) after dilation will be \((2x,2y)\). This will make Figure A congruent to Figure B, and since congruent figures are a special case of similar figures (with a scale - factor of 1 for congruence), it shows that Figure A and Figure B are similar.

Answer:

First, translate Figure A 4 units to the right. Then, dilate the translated Figure A by a scale factor of 2 centered at the origin.