+292 The coordinates of the vertices of trapezoid JKLM are J(2, −3) , K(6, −3) , L(4, −5) , andM(1, −5) .
The coordinates of the vertices of trapezoid J′K′L′M′ are J′(−3, 3) , K′(−3, 7) , L′(−5, 5)L′(−5, 5), and M′(−5, 2)M′(−5, 2) .
Which statement correctly describes the relationship between trapezoid JKLM and trapezoid J′K′L′M′ ?
A)
Trapezoid JKLM is congruent to trapezoid J′K′L′M′ because you can map trapezoid JKLM totrapezoid 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.
B)
Trapezoid JKLM is congruent to trapezoid J′K′L′M′ because you can map trapezoid JKLM totrapezoid 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.
C)
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′ .
D)
Trapezoid JKLM is congruent to trapezoid J′K′L′M′ because you can map trapezoid JKLM totrapezoid 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.
