Use graph paper for this question.
The points A(2, 3), B(4, 5) and C(7, 2) are the vertices of `DeltaABC`
Write down the co-ordinates of A", B", C" if `Delta` A''B" C" is the image of `DeltaABC` , when reflected in the x-axis.

Answer

To find the coordinates of the reflected points A'', B'', and C'' when triangle ABC is reflected in the x-axis, we will follow these steps:

### Step 1: Identify the coordinates of the original points
The vertices of triangle ABC are given as:
- A(2, 3)
- B(4, 5)
- C(7, 2)

### Step 2: Understand the reflection in the x-axis
When a point (x, y) is reflected in the x-axis, its new coordinates become (x, -y). This means we will keep the x-coordinate the same and change the sign of the y-coordinate.

### Step 3: Reflect point A
For point A(2, 3):
- The x-coordinate remains the same: 2
- The y-coordinate changes sign: -3
- Therefore, A'' = (2, -3)

### Step 4: Reflect point B
For point B(4, 5):
- The x-coordinate remains the same: 4
- The y-coordinate changes sign: -5
- Therefore, B'' = (4, -5)

### Step 5: Reflect point C
For point C(7, 2):
- The x-coordinate remains the same: 7
- The y-coordinate changes sign: -2
- Therefore, C'' = (7, -2)

### Final Answer
The coordinates of the reflected points are:
- A''(2, -3)
- B''(4, -5)
- C''(7, -2)

### Summary of Reflected Points
- A'' = (2, -3)
- B'' = (4, -5)
- C'' = (7, -2)

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