A quadrilateral is a four-sided shape that can be drawn in a plane. A quadrilateral can be classified into different types such as parallelograms, rectangles, rhombuses, trapezoids, and squares. A quadrilateral can also be transformed using the various transformations such as translation, reflection, rotation, and dilation. In this article, we will discuss the process of drawing a quadrilateral ABCD under the translation.

## What is Translation?

Translation is one of the four transformations that can be performed on a quadrilateral. It is a type of motion where the shape is shifted from its original position to a new position without changing its size or orientation. Translation is also known as a slide transformation. It can be represented by a vector that has the same direction and magnitude as the translation.

## Steps to Draw the Image of Quadrilateral ABCD Under the Translation

Drawing the image of quadrilateral ABCD under the translation can be done in the following steps:

- Step 1: Draw the original quadrilateral ABCD.
- Step 2: Identify the vector that represents the translation.
- Step 3: Using the vector, shift each vertex of the quadrilateral to its new position.
- Step 4: Connect the shifted vertices to form the image of the quadrilateral ABCD under the translation.

The image of quadrilateral ABCD under the translation can then be drawn by following the steps outlined above.

## Example

Let us consider an example of drawing the image of quadrilateral ABCD under the translation. The given quadrilateral is shown in the figure below and the vector representing the translation is given by **(-4, -2)**. The steps for drawing the image of the quadrilateral ABCD under the translation are as follows:

- Step 1: Draw the original quadrilateral ABCD.
- Step 2: Identify the vector that represents the translation.
- Step 3: Using the vector, shift each vertex of the quadrilateral to its new position.
- Step 4: Connect the shifted vertices to form the image of the quadrilateral ABCD under the translation.

The image of quadrilateral ABCD under the translation is shown in the figure below.

In this article, we discussed the process of drawing the image of quadrilateral ABCD under the translation. We first discussed what a translation is and then listed the steps involved in drawing the image of the quadrilateral under the translation. Finally, we considered an example to illustrate the steps. Drawing the image of the quadrilateral under the translation is a simple process that can be easily understood by anyone.