Question

If figure PQRS is translated 6 units up and 4 units to the left, what are the coordinates of point S'

Answer 1

Answer:

its right angle

Step-by-step explanation

4th angle S and right angle A for X

Answer 2

Answer:

S' (-2, 8)

Step-by-step explanation:

When a figure is translated (moved) in a coordinate plane, the coordinates of each point change based on the translation. In this case, the figure PQRS is translated 6 units up and 4 units to the left.

The general formula for translating a point $(x, y)$ by $(a, b)$ is:

$(x', y') = (x \pm a, y \pm b)$

Note:

• Translated to left means we need to subtract x value.
• Translated to up means we need to add y value.

In this case, we can make a formula as:

$(x', y') = (x - a, y + b)$

Now, let's apply this formula to each point in figure PQRS:

1. Point P(4, 6):

$P' = (4 - 4, 6 + 6) = (0, 12)$

2. Point Q(7, 2):

$Q' = (7 - 4, 2 + 6) = (3, 8)$

3. Point R(5, -2):

$R' = (5 - 4, -2 + 6) = (1, 4)$

4. Point S(2, 2):

$S' = (2 - 4, 2 + 6) = (-2, 8)$

Therefore, after the translation, the coordinates of the points become:

• P' (0, 12)
• Q' (3, 8)
• R' (1, 4)
• S' (-2, 8)