MATH SOLVE

2 months ago

Q:
# The coordinates of the vertices of trapezoid JKLM are J(2, −3) , K(6, −3) , L(4, −5) , and M(1, −5) . The coordinates of the vertices of trapezoid J′K′L′M′ are J′(−3, 3) , K′(−3, 7) , L′(−5, 5) , and M′(−5, 2) . Which statement correctly describes the relationship between trapezoid JKLM and trapezoid J′K′L′M′ ? Trapezoid JKLM is not congruent to trapezoid J′K′L′M′ because there is no sequence of rigid motions that maps trapezoid JKLM to trapezoid J′K′L′M′ . Trapezoid JKLM is congruent to trapezoid J′K′L′M′ because you can map trapezoid JKLM to trapezoid J′K′L′M′ by reflecting it across the line y = x and then translating it 1 unit up, which is a sequence of rigid motions. Trapezoid JKLM is congruent to trapezoid J′K′L′M′ because you can map trapezoid JKLM to trapezoid J′K′L′M′ by rotating it 180° about the origin and then translating it 1 unit down, which is a sequence of rigid motions. Trapezoid JKLM is congruent to trapezoid J′K′L′M′ because you can map trapezoid JKLM to trapezoid J′K′L′M′ by reflecting it over the x-axis and then over the line y = x, which is a sequence of rigid motions.

Accepted Solution

A:

This is your answer:

Trapezoid JKLM is congruent to trapezoid J′K′L′M′ because you can map trapezoid JKLM to trapezoid J′K′L′M′ by reflecting it across the line y = x and then translating it 1 unit up, which is a sequence of rigid motions.

Trapezoid JKLM is congruent to trapezoid J′K′L′M′ because you can map trapezoid JKLM to trapezoid J′K′L′M′ by reflecting it across the line y = x and then translating it 1 unit up, which is a sequence of rigid motions.