Question

2The points A(2,5), B(6,5), C(5,2) and D(1, 2) are the vertices of a parallelogram.If the parallelogram is translated down two units and right three units, what will bethe coordinates of the final image of point B?

Answer 1

To answer this question, we need to apply the rule of translation to each of the points of the parallelogram. This rule can be expressed as: (x + 3, y -2), that is, the parallelogram is translated down two units and right three units.

Then, we have:

A (2, 5) ---> A'(2 + 3, 5 - 2) ---> A' (5, 3)

B (6, 5) ---> B' (6 + 3, 5 -2 ) ---> B' (9, 3)

C (5, 2) ---> C' (5 + 3, 2 - 2) ---> C' (8, 0)

D (1, 2) ---> D' (1 + 3, 2 -2) ---> D' (4, 0)

Therefore, the coordinates of the final image of point B are B' (9, 3).