Question

A transformation named T maps triangle XYZ to triangle X'Y'Z'. The transformation is a(n) _____.

Answer 1

Answer:

The answer is Translation

Step-by-step explanation:

1. The transformation is a 'pure' translation.

2. All the sides are parallel to their corresponding sides, so there is no rotation.

3. The measures are the same so there is no dilation

4. The figures are not symmetrical, so there is no reflection.

Answer 2

Answer:

The transformation is called Translation.

Step-by-step explanation:

We have different types of transformation:

Translation: A translation or slide is an isometry in which all points of a figure move the same distance and in the same direction.

Reflection: A reflection is an isometry in which the preimage and the image have opposite orientations. In other words, the image appears backwards.

Rotation: A rotation is an isometry in which a figure has been rotated or turned around a point called center of rotation.

Dilation: A dilation could be an enlargement or a reduction.

In Geometry, "Translation" simply means Moving without rotating, resizing or anything else, just moving.

To Translate a shape: Every point of the shape must move;

   the same distance

   in the same direction.

So, in this question XYZ translate to $X^{'} Y^{'} Z^{'}$ since every point move in the same distance and same direction.