The coordinates of the vertices of trapezoid EFGH are E(-8, 8),F(-4, 12), G(-4, 0), and H(-8, 4). Thecoordinates of the vertices of trapezoid E’F’G’H’ are E’(-8, 6), F’(-5, 9),G’(5, 0), and H’(-8, 3). Which statement correctly describes the relationship betweentrapezoid EFGH and trapezoid E’F’G’H’? a) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because youcan map trapezoid EFGH to trapezoid E’F’G’H’ by reflecting it across the x-axisand then translating it up 14 units, which is a sequence of rigid motions.b) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because youcan map trapezoid EFGH to trapezoid E’F’G’H’ by translating it down 2 units andthen reflecting it over the y-axis, which is a sequence of rigid motionsc) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because youcan map trapezoid EFGH to trapezoid E’F’G’H’ by dilating it by a factor of 34and then translating it 2 units left, which is a sequence of rigid motionsd) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there isno sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.
Accepted Solution
A:
Answer:DStep-by-step explanation:1) We have and isosceles trapezoid DEFG and and another trapezoid D'E'F'G' dilated.2) E'F'G'H' is not congruent to EFGH (due to its legs) Besides that, E'F'G'H has undergone not to rigid motions. Rigid motions are better known as translations and rotations and they preserve length and angles. That was not the case.(Check graph 2)3) So it's d, the only correct choice:d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.