Answer:
a) A' = (2, 4)
b) A'' = (1, -2)
Step-by-step explanation:
When reflecting a shape in a vertical line, each vertex of the shape will be the same distance from the vertical line but in the opposite direction.
Therefore, the x-values change but the y-values remain the same.
Part (a)
To reflect point A in x = -1, determine the number of horizontal units the point is from x = -1. Count the same number of units on the other side of the vertical line (remembering that the y-value remains unchanged).
The x-value of point A is x = -4. This is 3 units to the left of x = -1.
Therefore, the x-value of point A' is 3 units to the right of x = -1.
The y-value of point A is y = 4, so the y-value of point A' is also y = 4.
Therefore, the coordinates of the point A' are:
Part (b)
To translate point A' by the given vector, translate the point:
- 1 unit to the left.
- 6 units down.
Therefore, the coordinates of the point A'' are:
- A'' = (2-1, 4-6) = (1, -2)
