Question

Which of the following transformations will, when applied to triangle ABC, produce a congruent triangle? Select all that apply.

A) Translation

B) Rotation

C) Dilation

D) Reflection

Answer 1

Translation, Rotation, and Reflection are the transformations that will produce a congruent triangle.

Step-by-step explanation:

In order to produce a congruent triangle, the transformations that can be applied to triangle ABC are:

1. Translation: In a translation, the triangle is moved without changing its size or shape. The resulting triangle will be congruent to the original.
2. Rotation: In a rotation, the triangle is turned around a fixed point. If the angle of rotation is a multiple of 360 degrees, the resulting triangle will be congruent to the original.
3. Reflection: In a reflection, the triangle is flipped over a line of reflection. The resulting triangle will be congruent to the original.