△JKL is mapped to △J'K'L' using the rules (x, y)→(x+2, y+3) followed by (x, y)→(2x, y) .

Which statement describes the relationship between △JKL and △J'K'L'?

△JKL is congruent to △J'K'L' because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

△JKL is not congruent to △J'K'L' because the rules do not represent a sequence of rigid motions.

△JKL is congruent to △J'K'L' because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.

△JKL is congruent to △J'K'L' because the rules represent a translation followed by a rotation, which is a sequence of rigid motions.

sii1lver
Jan 7, 2018

#1**+1 **

When you double the x coordinates, it changes the shape of the triangle. So

△JKL is not congruent to △J'K'L' because the rules do not represent a sequence of rigid motions.

Here's an example: https://www.desmos.com/calculator/lzqk0meoup

The x coordinate of the vertices on the green triangle are double those of the orange triangle.

hectictar
Jan 7, 2018

#1**+1 **

Best Answer

When you double the x coordinates, it changes the shape of the triangle. So

△JKL is not congruent to △J'K'L' because the rules do not represent a sequence of rigid motions.

Here's an example: https://www.desmos.com/calculator/lzqk0meoup

The x coordinate of the vertices on the green triangle are double those of the orange triangle.

hectictar
Jan 7, 2018