Question

Triangle a"b"c" is formed by a reflection over x = -3 and dilation by a scale factor of 3 from the origin. Which equation shows the correct relationship between aabc and aa"b"c?

1) aabc = aa"b"c
2) aabc = aa"b"c + 3
3) aabc = aa"b"c - 3
4) aabc = aa"b"c * 3

Answer 1

The correct equation that shows the relationship between aabc and aa"b"c is aabc = aa"b"c + 3. This equation reflects the transformation of triangle aa"b"c by reflecting it over the line x = -3 and shifting it 3 units to the right.

Step-by-step explanation:

The correct equation that shows the relationship between aabc and aa"b"c is aabc = aa"b"c + 3.

This is because the triangle aabc is formed by reflecting the triangle aa"b"c over the line x = -3. This reflection results in shifting every point on the original triangle 3 units to the right. So, the correct equation reflects this translation by adding 3 to the coordinates of each point in triangle aa"b"c.

Therefore, the correct equation is aabc = aa"b"c + 3.