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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.

Dec 11, 2017

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"D"   is the correct choice

Let (a, b)  be one point

Reflecting across y  =  x    produces  (b , a)

Translating  one unit up  = ( b , a + 1 )

Dec 11, 2017
edited by CPhill  Dec 12, 2017