Question

Badge ABC is translated 2 units right and two units down to get triangle A'B'C'

Which of the following statements is not true?

• A. $\angle B\ne \angle B^{\prime }$
• B. Both AC and A'C' have the same length.
• C. All of the above
• D. B and B' does not have the same coordinates.

Answer 1

The correct option is A $\angle B\ne \angle B^{\prime }$

Given: $\Delta ABC$ is translated 2 units right and two units down to get triangle A'B'C'.
We know that after any transformation (reflection, rotation, or translation), the preimage and the image have the same side lengths, angle measures, perimeter, and area, but different positions.
Here, $\Delta ABC$ is the preimage and $\Delta A^{\prime }{B}^{\prime }{C}^{\prime }$ is the image.
Hence, after the given translation, the preimage and the image have the same side lengths, angle measures, perimeter, and area, but different positions.
So, option A and option B are true, but option C is not true.
$\to$ Option C is correct.