Question

The image of ADEF is ADE'F'. Under which transformation will the triangles not be congruent?

O a reflection through the origin
O a reflection over the line y = x
O a dilation with a scale factor of 1 centered at (2,3)
a dilation with a scale factor of centered at the origin

Answer 1

The transformation that will not result in congruent triangles is a dilation with a scale factor of 1 centered at (2,3).

Step-by-step explanation:

The transformation that would not result in congruent triangles is a dilation with a scale factor of 1 centered at (2,3).

When a figure is dilated with a scale factor of 1, the resulting figure is congruent to the original figure. However, since the center of dilation in this case is (2,3), the image of ADEF will not be congruent to ADE'F'.

All other transformations listed in the options - reflection through the origin, reflection over the line y = x, and dilation with a scale factor centered at the origin - will result in congruent triangles.