Answer:
(3,8)
Step-by-step explanation:
The point W of the pre-image is at (1, 6).
The figure went through two transformations.
The first is a reflection in the y-axis.
We just negate the coordinate of W to get;
W'(-1,6)
The next transformation is the translation by the rule.
Therefore W'' has coordinates (3,8)
Answer:
When we do a reflection of a point (x, y) about a given line, the distance between the point (x, y) and the line is invariant under the transformation.
In the case of reflection over x-axis we have:
T (x, y) => (x, -y)
In the case of reflection over the y-axis, we have:
T (x, y) => (-x, y)
Because these two lines are perpendicular, a reflection over the x-axis leaves the distance between the point and the y-axis invariant (and the same for the inverse case)
Then 4 statements that will always be true:
1) The distance between p' and the x-axis is the same as the distance between p and the x-axis.
2) The distance between p' and the y-axis is the same as the distance between p and the y-axis.
From 1 and 2, we get:
3) The distance between p' and the origin is the same as the distance between p and the origin.
4) As we have a reflection, p' can not be in the same quadrant than p, then p' can not lie on the first quadrant.
A and F are the only set of ordered pairs that work in both of the equations above. In order to find these you must place them into each equation and check for truth. Below is the work for A and F.
Ordered Pair A : (0,6)
y > 6x + 5
6 > 0 + 5
6 > 5 (TRUE)
y < -6x + 7
6 < 0 + 7
6 < 7 (TRUE)
Ordered Pair F : (-2, 18)
y > 6x + 5
18 > - 12 + 5
18 > -7 (TRUE)
y < -6x + 7
18 < 12 + 7
18 < 19 (TRUE)
Answer:
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Step-by-step explanation:
