The coordinates of the vertices of △ABC are A(1, 1) , B(5, 1) , and C(5, 3) . The coordinates of the vertices of △A′B′C′ are A′(−1, −1) , B′(−5, −1) , and C′(−5, −3) .

Which statement correctly describes the relationship between △ABC and △A′B′C′ ?

A. △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a translation 2 units to the left and 2 units down, which is a rigid motion.

B. △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a reflection across the y-axis, which is a rigid motion.

C. △ABC is not congruent to △A′B′C′ because there is no sequence of rigid motions that maps △ABC to △A′B′C′.

D. △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a rotation of 180° about the origin, which is a rigid motion.

Question

The coordinates of the vertices of △ABC are A(1, 1) , B(5, 1) , and C(5, 3) . The coordinates of the vertices of △A′B′C′ are A′(−1, −1) , B′(−5, −1) , and C′(−5, −3) .

Which statement correctly describes the relationship between △ABC and △A′B′C′ ?

A. △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a translation 2 units to the left and 2 units down, which is a rigid motion.

B. △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a reflection across the y-axis, which is a rigid motion.

C. △ABC is not congruent to △A′B′C′ because there is no sequence of rigid motions that maps △ABC to △A′B′C′.

D. △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a rotation of 180° about the origin, which is a rigid motion.

jasonmitchell · Answer

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