Question

Which of these figures is congruent with the figure below?

graph showing polygon efghj, with e at (0, 0), f at (0, 2), g at (1, 3), h at (2, 2) and j at (2, 0)

graph showing polygon efghj, with e at (0, 0), f at (0, 3), g at (1.5, 4.5), h at (3, 3) and j at (3, 0)
graph showing polygon efghj, with e at (0, 0), f at (–1, 0), g at (–1.5, 0.5), h at (–1, 1) and j at (0, 1)
graph showing polygon efghj, with e at (0, 0), f at (0, 2), g at (2, 3), h at (2, 2) and j at (4, 0)
graph showing polygon efghj, with e at (2, 2), f at (2, 4), g at (3, 5), h at (4, 4) and j at (4, 2)

Answer 1

Option 4

Graph showing polygon EFGHJ, with E(2,2); F(2,4); G(3,5); H(4,4) and J(4,2))

Explanation:

The attached image is obtained from the original image by translation.

The attached image is obtained by sliding two units up and two units right.

If the coordinate in original image is (x, y), the coordinate of translated image is given by (x+2 , y+2)

The original image and the translated image is always congruent.