If we plot the points P(5, 0), Q (5, 5), R(-5, 5) and S (-5, 0), which figure will we get? Name the axis of symmetry of this figure?

Answer

To solve the problem, we will follow these steps:

### Step 1: Plot the Points
We need to plot the four points given:
- P(5, 0)
- Q(5, 5)
- R(-5, 5)
- S(-5, 0)

### Step 2: Determine the Coordinates
1. **Point P(5, 0)**: Start from the origin (0, 0). Move 5 units to the right (positive x-direction) and 0 units up or down (y-direction). This gives us point P at (5, 0).
2. **Point Q(5, 5)**: From the origin, move 5 units to the right (x-direction) and 5 units up (y-direction). This gives us point Q at (5, 5).
3. **Point R(-5, 5)**: From the origin, move 5 units to the left (negative x-direction) and 5 units up (y-direction). This gives us point R at (-5, 5).
4. **Point S(-5, 0)**: From the origin, move 5 units to the left (negative x-direction) and 0 units up or down (y-direction). This gives us point S at (-5, 0).

### Step 3: Connect the Points
Now, we will connect the points in the order P, Q, R, and S:
- Connect P(5, 0) to Q(5, 5)
- Connect Q(5, 5) to R(-5, 5)
- Connect R(-5, 5) to S(-5, 0)
- Finally, connect S(-5, 0) back to P(5, 0)

### Step 4: Identify the Figure
By connecting these points, we can see that the shape formed is a rectangle. The lengths of the sides are:
- PQ = 5 units (vertical side)
- QR = 10 units (horizontal side)
- RS = 5 units (vertical side)
- SP = 10 units (horizontal side)

### Step 5: Determine the Axis of Symmetry
The axis of symmetry for a rectangle is the line that divides it into two equal halves. For this rectangle:
- The vertical line along the y-axis (x = 0) divides the rectangle into two equal parts.

### Final Answer
1. The figure formed is a **rectangle**.
2. The axis of symmetry is the **y-axis**.

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