Question

When the blue trapezoid is translated to the green one, the new coordinates of the point (-2, 8) will be

A (-4, 0).(-4, 0).
B (-8, 0).(-8, 0).
C (0, -8).(0, -8).
D (-4, -8).(-4, -8).
E (-8, -4).(-8, -4).

Answer 1

When the blue trapezoid is translated to the green one, the new coordinates of the point (-2, 8) will be B (-8, 0)

How to find the new coordinates

The new coordinate is solved by investigating the diagram

In the diagram, it can be deduced that the translation involved includes

• Translation down 8 units

• Translation left 6 units

Translation down 8 units: brings the top of the trapezoid blue to the x-axis

Translation left 6 units: This takes the trapezoid to the -8 in the x direction

combining the two translation results to

(-2, 8) → (-2 - 6, 8 - 8) → (-8, 0)