Question

What are the coordinates of vertex F of parallelogram FGHJ? (–2, 2) (–2, 6) (–3, 4) (–4, 2)

Answer 1

The answer is D) (-4,2) on Edge 2020

Answer 2

Question:

Parallelogram f"g"h"j" is the final image after the rule ry-axis • t1,2(x, y) was applied to parallelogram fghj. The coordinates are f''(3,4), g''(2,2), h''(4,2) and j''(5,4)

what are the coordinates of vertex f of parallelogram fghj?

(–2, 2)

(–2, 6)

(–3, 4)

(–4, 2)

Given:

Given that the the coordinates of the parallelogram f''g''h''j'' is the final image after the rule ry-axis • t1,2(x, y) was applied to parallelogram fghj.

The coordinates are f''(3,4), g''(2,2), h''(4,2) and j''(5,4)

We need to determine the coordinates of vertex f of parallelogram fghj.

Reflection across y - axis:

The general rule to reflect the coordinate across y - axis is given by

`(x,y) \rightarrow (-x,y)`

Substituting the coordinate f''(3,4), we get;

`(3,4)\rightarrow (-3,4)`

Thus, the coordinates of f'' of reflection across the y - axis is (-3,4)

Translation T1,2(x, y):

The translation can be performed using the rule,

`T_(1,2)(x,y)=(x+1,y+2)`

Now, substituting the coordinate (-3,4), we get;

`T_(1,2)(-3,4)=(-3+1,4+2)`

`T_(1,2)(-3,4)=(-2,6)`

Thus, the coordinates of vertex F is (-2,6)

Hence, Option b is the correct answer.