Question

To get A'B'C'D' from ABCD, it is dilated to a scale of centered at origin, translated and rotated by 180° in clockwise direction.

• A. 1.5
• B. 0.5
• C. 1
• D. 2

Answer 1

The correct option is B 0.5


The lengths DC and AB of rectangle ABCD are 8 units.

The widths AD and BC of the rectangle are 4 unit.

Whereas, the lengths D' C' and A' B' of rectangle ABCD are 4 units.

The widths A' D' and B' C' of the rectangle are 2 units.

So, we can say that the images are dilated to the scale factor of 0.5 by centering at the origin, (i.e., the ratio of the length of a side of one figure to the length of the corresponding side of the other figure),
$\frac{4}{8}=\frac{2}{4}=0.5$

Rectangle A'B'C'D' is translated and also rectangle ABCD is changed to A'B'C'D' which is an evidence for it to be rotated by 180° in the clockwise direction.