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

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△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

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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
Sort:

#1
+5888
+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

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