Question

The figure shows triangle EFG and some of its transformed images on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle labeled EFG is shown on ordered pair 1, 2 and 1, 5 and 3, 2. Another triangle labeled image A is shown on ordered pair 1, negative 2 and 1, negative 5 and 3, negative 2. Another triangle labeled image B is shown on ordered pair negative1, negative 2 and negative 1, negative 5 and negative 3, negative 2. Another triangle labeled image D is shown on ordered pair negative 5, 2 and negative 5, 5 and negative 3, 2.

Another triangle labeled image C is shown on ordered pair negative 1, 2 and negative 1, 5 and negative 3, 2. Which of the four triangles was formed by a translation of triangle EFG?
1) A
2) B
3) C
4)D

Answer 1

4) D

Explanation:

Plot the triangle EFG with vertices at points E(1,2), F(1,5) and G(3,2).

Image A: Triangle
`A'B'C'`is a reflection across the x-axis (not translation)

Image B: Triangle
`A''B''C''` is a rotation by 180° about the origin or reflection across the origin (not translation)

Image C: Triangle
`A_1B_1C_1` is a reflection across the y-axis (not translation)

Image D: Triangle
`A_2B_2C_2` is a translation 6 units to the left.