Question

The vertices of a triangle are L(0,1), M(1, - 2), and N(-2,1). Draw the figure and its image after the translation (x+2, y + Polygon Undo → Redo X Reset 10 9 8 7 6 5 4 1 3 2 1 00 Check 1 2 3 4 5 6 NEXT

Answer 1

We have a triangle with the vertices: L(0,1), M(1, - 2), and N(-2,1).

We can draw them as:

We then apply a transformation: a translation 2 units to the right and 3 units up.

This can be expressed as:

$P=(x,y)\longrightarrow P^{\prime}=(x+2,y+3)$

Then, we can apply this transformation to each of the vertices:

$\begin{gathered} L(0,1)\longrightarrow L^{\prime}=(0+2,1+3)=(2,4) \\ M(1,-2)\longrightarrow M^{\prime}=(1+2,-2+3)=(3,1) \\ N(-2,1)\longrightarrow N^{\prime}=(-2+2,1+3)=(0,4) \end{gathered}$

Now we can draw the image of the triangle as:

In the picture it is also graphed the translation for point M to point M' (3 units up and 2 units to the left).