Question

Triangle ABC has been reflected over the y-axis to create triangle A'B'C'. Which of the following statements is true?

Option 1: B'C' = 2BC
Option 2: A'B' = 2AB
Option 3: AB = 2A'B'
Option 4: AC = 2A'C'

Answer 1

When a triangle is reflected over the y-axis, the x-coordinates of its vertices change sign, while the y-coordinates remain the same. Therefore, the correct statement is option 2: A'B' = 2AB.

Step-by-step explanation:

When a triangle is reflected over the y-axis, the x-coordinates of its vertices change sign, while the y-coordinates remain the same. In this case, the vertices of triangle ABC become the vertices of triangle A'B'C'.

So, in a reflection over the y-axis, the x-coordinates of the points double in magnitude, but the y-coordinates remain the same. Therefore, the correct statement is option 2: A'B' = 2AB.