Question

If triangle ABC is dilated by a scale factor of 2 about the origin, and then reflected across the x-axis, which TWO could be a coordinate point of the transformed triangle?

O (-6, 8) and (2,-2)
O (2, 2) and (10,-2)
O(-6, 8) and (-2, 2)
(10,-2) and (2,-2)

Answer 1

The transformed triangle could have the coordinates (-6, 8) and (-12, -16).

Step-by-step explanation:

To find the coordinates of the transformed triangle, we need to apply the transformations in the given order: dilation by a scale factor of 2 about the origin, followed by reflection across the x-axis.

- Starting with the point (-6, 8), the dilation by a scale factor of 2 about the origin would multiply both the x-coordinate and y-coordinate by 2, giving us (-12, 16).

- Then, reflecting this point across the x-axis would change the sign of the y-coordinate, resulting in (-12, -16).

Therefore, the transformed triangle could have the coordinates (-6, 8) and (-12, -16).