Question

The coordinates of the vertices of △JKL are J(−2, 1), K(−1, 3), and L(−3, 4). The coordinates of the vertices of △J′K′L′ are J′(−2, −1), K′(−1, −3), and L′(−3, −3).

Answer 1

Given : The coordinates of the vertices of △JKL are J(−2, 1), K(−1, 3), and L(−3, 4). The coordinates of the vertices of △J′K′L′ are J′(−2, −1), K′(−1, −3), and L′(−3, −3).

To Find :  Correct option

A) △JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a reflection across the y-axis, which is a rigid motion.

B) △JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a translation 2 units down, which is a rigid motion.

C) △JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′ .

D) △JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a reflection across the x-axis, which is a rigid motion.

Solution :

C) △JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′ .

option C is correct  

J(−2, 1), K(−1, 3), and L(−3, 4).

J′(−2, −1), K′(−1, −3), and L′(−3, −3).

x values are same

y values have sign change except   y coordinates of L

Hence there is no sequence of rigid motions that maps △JKL to △J′K′L′ .

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