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

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

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,

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

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

Hence, Option b is the correct answer.

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70