Question

which of the following describes the transformation from figure a to figure b?
figure a
figure b
o figure a was reflected over the x - axis.
o figure a was reflected over the x - axis and the y - axis.
o figure a was translated.
o figure a was reflected over the y - axis.

Explanation:

Step1: Analyze reflection over x - axis

When a figure is reflected over the x - axis, the rule is (x,y)→(x, - y). The orientation of the figure in Figure A and Figure B is not consistent with an x - axis reflection.

Step2: Analyze reflection over x - axis and y - axis

When a figure is reflected over the x - axis and then the y - axis, the rule is (x,y)→( - x, - y). This does not match the transformation from Figure A to Figure B.

Step3: Analyze translation

A translation is a slide of the figure. The orientation of Figure A and Figure B is different, so it is not a translation.

Step4: Analyze reflection over y - axis

When a figure is reflected over the y - axis, the rule is (x,y)→( - x,y). If we look at the vertices of Figure A and Figure B, we can see that the x - coordinates of the vertices of Figure A have changed their signs while the y - coordinates remain the same, which is consistent with a reflection over the y - axis.

Answer:

Figure A was reflected over the y - axis.