Use a graph paper to answer the following questions.
(Take 1 cm = 1 unit on both axes) :
(i) Here A (4, 4), B (4, -6) and C (8, 0), the vertices of a triangle ABC.(ii) Reflect ABC on the Y-axis and name it as A'B'C'. (iii) Write the coordinates of the images A', B' and C'.

Answer

To solve the problem step by step, we will follow the instructions given in the question.

### Step 1: Plot the points A, B, and C on the graph paper.
- **Point A (4, 4)**: Start at the origin (0, 0), move 4 units to the right (along the x-axis) and 4 units up (along the y-axis). Mark this point as A.
- **Point B (4, -6)**: From the origin, move 4 units to the right (along the x-axis) and 6 units down (along the y-axis). Mark this point as B.
- **Point C (8, 0)**: From the origin, move 8 units to the right (along the x-axis) and stay at 0 on the y-axis. Mark this point as C.

### Step 2: Connect the points A, B, and C to form triangle ABC.
- Draw straight lines between points A, B, and C to form triangle ABC.

### Step 3: Reflect triangle ABC over the Y-axis to find points A', B', and C'.
- **Reflection Rule**: When reflecting a point (x, y) over the Y-axis, the x-coordinate changes sign, while the y-coordinate remains the same. Therefore:
- **Point A (4, 4)** reflects to A' (-4, 4)
- **Point B (4, -6)** reflects to B' (-4, -6)
- **Point C (8, 0)** reflects to C' (-8, 0)

### Step 4: Plot the reflected points A', B', and C' on the graph paper.
- **Point A' (-4, 4)**: From the origin, move 4 units to the left (along the x-axis) and 4 units up (along the y-axis). Mark this point as A'.
- **Point B' (-4, -6)**: From the origin, move 4 units to the left (along the x-axis) and 6 units down (along the y-axis). Mark this point as B'.
- **Point C' (-8, 0)**: From the origin, move 8 units to the left (along the x-axis) and stay at 0 on the y-axis. Mark this point as C'.

### Step 5: Connect the points A', B', and C' to form triangle A'B'C'.
- Draw straight lines between points A', B', and C' to form triangle A'B'C'.

### Step 6: Write down the coordinates of the reflected points A', B', and C'.
- The coordinates are:
- A' = (-4, 4)
- B' = (-4, -6)
- C' = (-8, 0)

### Final Answer:
The coordinates of the images A', B', and C' are:
- A' = (-4, 4)
- B' = (-4, -6)
- C' = (-8, 0)

---