Attempt this question on graph paper.
Write down :
the geometrical name of the figure ABB'A'

Answer

To solve the question of identifying the geometrical name of the figure ABB'A', we will follow these steps:

### Step 1: Define Points A and B
Let's assume the coordinates of points A and B.
- Let point A be (3, 2)
- Let point B be (5, 4)

### Step 2: Determine Points A' and B'
Points A' and B' are the reflections of points A and B across the x-axis.
- The reflection of point A (3, 2) across the x-axis will be A' (3, -2).
- The reflection of point B (5, 4) across the x-axis will be B' (5, -4).

### Step 3: Plot the Points on Graph Paper
Using graph paper, plot the points:
- Point A (3, 2)
- Point B (5, 4)
- Point A' (3, -2)
- Point B' (5, -4)

### Step 4: Connect the Points
Now, connect the points in the following order:
- A to B
- B to B'
- B' to A'
- A' to A

### Step 5: Analyze the Figure
Now, observe the shape formed by these points. The figure ABB'A' consists of two parallel sides (AB and A'B') and two non-parallel sides (AA' and BB'). This is characteristic of a trapezoid.

### Step 6: Identify the Type of Trapezoid
Since the lengths of the non-parallel sides (AA' and BB') are equal, the trapezoid is classified as an isosceles trapezoid.

### Conclusion
The geometrical name of the figure ABB'A' is an **isosceles trapezoid**.

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