Question

DE has a length of 5 cm. What is the length of the image of DE after applying the composition rx degrees R0.-270degrees?

Answer 1

Answer:

B. 5 cm

Step-by-step explanation:

We are given that,

Length of the segment DE = 5 cm

Now, the transformation applied to DE is $R_{x-axis}\circ R_{0,-270}$.

That is, the segment DE is,

Rotated by 270° about the origin counter-clockwise and then reflected across x-axis.

It is required to find the length of the segment which is the image of DE.

Since, we know,

The only transformation which changes the measurements of the figure is 'dilation'.

Thus, rotation and reflection will not change the shape and size of the segment DE.

Hence, the length of the image of DE will be same as that of DE i.e. 5 cm.