Question

Shape P is reflected in x = -1 to give P'.

a) What are the coordinates of A'?
Then P' is translated by (6)
b) What are the coordinates of A"?

Answer 1

-5

-9+5

Explanation:

Answer 2

a) A' = (2, 4)

b) A'' = (1, -2)

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:

• A' = (2, 4)

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)