Question

What additional information could be used to prove that AABC ~ ANML? Check all that apply.

a) B = 2M
b) AABC is a right triangle.
c) AABC was rotated and dilated by a scale factor between 0 and 1.
d) AABC was translated right and down

Answer 1

To prove that AABC ~ ANML, additional information such as B = 2M, AABC being rotated and dilated by a scale factor between 0 and 1, and AABC being translated right and down can be used.

Step-by-step explanation:

In order to prove that two triangles are similar, we need to show that their corresponding angles are congruent and that the corresponding sides are proportional. Based on the options provided, the following additional information could be used to prove that triangles AABC and ANML are similar:

• B = 2M: If it can be shown that the length of side B in triangle AABC is twice the length of side M in triangle ANML, it would indicate a proportional relationship between corresponding sides.
• AABC was rotated and dilated by a scale factor between 0 and 1: If it can be shown that triangle AABC was transformed into triangle ANML through a rotation and dilation with a scale factor between 0 and 1, it would indicate a similarity between the two triangles.
• AABC was translated right and down: If it can be shown that triangle AABC was transformed into triangle ANML through a translation to the right and down, it would not provide additional information to prove similarity.