Question

A triangle with vertices (2, 9), (5, 1), and (1, 4) is dilated by a scale factor of 4. Which matrix expression represents the transformation?

Answer 1

Answer:

The matrix expression that represents the transformation is:

         Option: C

$4\cdot \left[\begin{array}{ccc}2&9\\-5&1\\1&-4\end{array}\right]$

Step-by-step explanation:

We are given a vertices of a triangle as:

                           (2, 9), (-5, 1), and (1,- 4)

This means that in the matrix representation these vertices could be represented as:

$\left[\begin{array}{ccc}2&9\\-5&1\\1&-4\end{array}\right]$

Now, when these vertices are dilated by a scale factor of 4, the change in vertices are:

Each of the vertices are multiplied by 4.

i.e. each of the entry in the matrix is multiplied by 4.

or we can take common 4 from the matrix to obtain the transformed vertices in the form as:

$4\cdot \left[\begin{array}{ccc}2&9\\-5&1\\1&-4\end{array}\right]$