Question

Two similar triangles are shown on the coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6.

Which set of transformations has been performed on triangle ABC to form triangle A'B'C'?

Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis

Answer 1

Option 2

Dilation by a scale factor of 2 followed by reflection about the x-axis

Explanation:

(x , y) --> (2x , -2y)

(x , y) --> (2x , 2y)

Dilation by a scale of factor 2

(2x , 2y) --> (2x , -2y)

Reflection about the x-axis