What transformations need to be done in order show that △ABC≅△EFD

Question

by mapping ABC on top of EFD? Check all that apply

(4 points)
Responses

Reflection
Reflection

Rotation
Rotation

Dilation
Dilation

Translation

Answer 1

To determine which transformations are needed to show that triangle ABC is congruent to triangle EFD (△ABC ≅ △EFD), we need to consider the possible transformations that can map one triangle onto the other. The key transformations that can create congruent figures are reflection, rotation, and translation. Dilation, however, changes the size of the figure and is not applicable for proving congruence since congruent triangles maintain the same size and shape.

Therefore, for showing that △ABC ≅ △EFD by mapping ABC onto EFD, the applicable transformations are:

1. Reflection
2. Rotation
3. Translation

Dilation is not necessary since it alters the size of the triangle.

So, the correct transformations are:

• Reflection
• Rotation
• Translation

Please select those options.