Question

1. identify the transformation from figure a to figure b in the image below.

options: reflection, glide reflection, translation, dilation

Explanation:

To determine the transformation from figure A to figure B, we analyze each option:

• Reflection: A reflection would flip the figure over a line, but here the orientation and position change suggest more than just a flip.
• Glide Reflection: A glide reflection is a combination of a translation (slide) and a reflection (flip). Looking at the figures, figure A seems to have been translated down and then reflected (or vice - versa) to get to figure B. The vertical shift and the change in orientation (from upward - pointing to downward - pointing triangle) are consistent with a glide reflection.
• Translation: A translation only slides the figure without changing its orientation. Since figure A is an upward - pointing triangle and figure B is a downward - pointing triangle, translation alone is not sufficient.
• Dilation: Dilation changes the size of the figure. The two triangles appear to be the same size, so dilation is not the transformation.

Answer:

glide reflection