Question

The vertices of triangle ABC are A (0,5), B (3,5), and C (2, 2). If the triangle is reflected acrossy-axis, then find the coordinates of the triangle ABC.

Answer 1

ANSWER:

$\begin{gathered} A^{\prime}(0,5) \\ B^{\prime}(-3,5) \\ C^{\prime}(-2,2) \end{gathered}$

STEP-BY-STEP EXPLANATION:

We have the triangle ABC with the following vertices:

$\begin{gathered} A(0,5) \\ B(3,5) \\ C(2,2) \end{gathered}$

The rule of reflection across the y-axis is the following:

$(x,y)\rightarrow(-x,y)$

We apply and we would be:

$\begin{gathered} A(0,5)\rightarrow A^{\prime}(0,5) \\ B(3,5)\rightarrow B^{\prime}(-3,5) \\ C(2,2)\rightarrow C^{\prime}(-2,2) \end{gathered}$