Question

Elena gives the following sequence of transformations to show that the two figures are similar by transforming ABCD into EFGD. Which sequence of transformations did Elena do?

a. Reflection using line AE and a dilation using center D and scale factor of 3
b. Dilation using A as the center and scale factor of 2
c. Rotation of 90 degrees clockwise
d. Dilation using D as the center and scale factor of 2, then reflection over the vertical line through D.

Answer 1

Elena's sequence of transformations to demonstrate similarity involved a dilation from point D with a scale factor of 2, followed by a reflection over a vertical line through D.

Step-by-step explanation:

The question concerns the sequence of geometric transformations that Elena applied to demonstrate that two figures are similar. The sequence was a dilation using D as the center with a scale factor of 2, followed by a reflection over a vertical line through D.

Geometric transformations often include rotations, reflections, dilations, and translations. These transformations can change a figure's position and size while preserving its shape and proportionality, which are crucial characteristics for establishing similarity between figures