Question

Isabel is planning a design that uses different colored wooden triangles. She starts by drawing JKL in the coordinate plane. She then reflects AJKL across the x-axis to form J' K'L'. Draw J'K'L' in the coordinate plane. What are the coordinates of the vertices of J'K'L'? ly у K 2 2 L -2

Answer 1

If we reflect JKL across the x-axis, the new triangle that is formed has exactly that same x-coordinate by its y-coordinate has reversed sign,

Therefore,

$J(0,2)\rightarrow J^{\prime}(0,-2)$$K(4,4)\rightarrow K(4,-4)$

and

$L(4,0)\rightarrow L^{\prime}(4,0)$

Hence, the coordinates of the vertices of J'K'L' are

$J^{\prime}(0,-2)$$K^{\prime}(4,-4)$$L^{\prime}(4,0)\text{.}$