167k views
3 votes
Triangle ABC was transformed to create image ADE. Which transformations show that ABC is similar to ADE?

a) A dilation by a scale factor of 3 and then a translation 3 units up and 4 units left.
b) A dilation by a scale factor of 4/3 and then a translation 3 units up and 4 units left.
c) A dilation by a scale factor of 4/3 and then a 180° rotation about the origin.
d) A dilation by a scale factor of 12 and then a 180° rotation about the origin.

User Xamantra
by
8.3k points

1 Answer

4 votes

Final answer:

The correct transformations that show Triangle ABC is similar to ADE are a dilation by a scale factor of 4/3 and then a 180° rotation about the origin, as well as a dilation by a scale factor of 12 and then a 180° rotation about the origin.

Step-by-step explanation:

The correct transformations that show Triangle ABC is similar to ADE are:

  1. A dilation by a scale factor of 4/3 and then a 180° rotation about the origin.
  2. A dilation by a scale factor of 12 and then a 180° rotation about the origin.

Option a) and Option b) involve a translation, which does not preserve similarity. Therefore, options a) and b) are incorrect.

Option c) involves a dilation by a scale factor of 4/3 and a 180° rotation, which preserves similarity. Option d) involves a dilation by a scale factor of 12 and a 180° rotation, which also preserves similarity. Therefore, options c) and d) are the correct transformations that show similarity between Triangle ABC and ADE.

User Simon Fakir
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories