Question

Identify the transformation carried out to form △A'B'C' from △ABC in the given figure.

• A. Dilation of 1 centered at the origin, rotated by 90° in the anticlockwise direction around origin, and translated 11 units up.
• B. Dilation of 2 centered at the origin, rotated by 90° in the anticlockwise direction around origin, and translated 11 units up.
• C. Dilation of 1 centered at the origin, rotated by 180° in the anticlockwise direction around origin, and translated 11 units up.
• D. Dilation of 2 centered at the origin, rotated by 180° in the anticlockwise direction around origin, and translated 11 units up.

Answer 1

The correct option is C Dilation of 1 centered at the origin, rotated by 180° in the anticlockwise direction around origin, and translated 11 units up.


BC = 3 units.
B'C' = 3 units.

$\text{∴ Ratio of BC and B'C' =}\frac{3}{3}=1$

So, △ABC is dilated by a scale factor of 1, centered at the origin.

Now, △ABC is rotated 180° in anticlockwise direction around the origin and then translated 11 units up.


∴ Option 'c' is correct.