Question

May I please get help with this. For I have tried multiple times but still can’t get the right answer or the triangle after dilation?

Answer 1

Solution:

Given the triangle ABC as shown below:

To draw the image,

step 1: Determine the coordinates of the vertices of the triangle.

In the above graph,

$\begin{gathered} A(6,7) \\ B(9,9) \\ C(8,6) \end{gathered}$

step 2: Evaluate the new coordinates A'B'C' of the triangle after a dilation centered at the origin with a scale factor of 2.

After a dilation centered at the origin with a scale factor of 2, the iniatial coordinates of the vertices of the triangle are multiplid by 2.

Thus,

$\begin{gathered} A(6,7)\to A^{\prime}(12,14) \\ B(9,9)\to B^{\prime}(18,18) \\ C(8,6)\to C^{\prime}(16,12) \end{gathered}$

step 3: Draw the triangle A'B'C'.

The image of the triangle A'B'C' is as shown below: