Use graph paper for this question (Take 2 cm = 1 unit along both X and Y axis). ABCD is a quadrilateral whose vertices are A (2, 2), B (2, -2), C (0, -1) and D (0, 1). Reflect quadrilateral ABCD on the Y-axis and name it as A'B'CD. Name the polygon A'B'CD.

Answer

To solve the problem step by step, we will follow the instructions given in the question and reflect the quadrilateral ABCD across the Y-axis.

### Step-by-Step Solution:

1. **Draw the Coordinate Axes:**
- On graph paper, draw the X-axis and Y-axis. Make sure to label the axes and mark the units. Since 2 cm represents 1 unit, each box on the graph paper will represent 2 cm.

**Hint:** Remember to label the positive and negative sides of both axes clearly.

2. **Plot the Points of Quadrilateral ABCD:**
- Plot the points A(2, 2), B(2, -2), C(0, -1), and D(0, 1) on the graph.
- A(2, 2) is 2 units right and 2 units up.
- B(2, -2) is 2 units right and 2 units down.
- C(0, -1) is at the origin and 1 unit down.
- D(0, 1) is at the origin and 1 unit up.

**Hint:** Use a ruler to ensure the points are accurately placed.

3. **Connect the Points to Form Quadrilateral ABCD:**
- Connect the points A, B, C, and D in order to form the quadrilateral ABCD.

**Hint:** Make sure to connect the points in the correct order to visualize the shape of the quadrilateral.

4. **Reflect the Quadrilateral Across the Y-axis:**
- To reflect the points across the Y-axis, change the sign of the x-coordinates of points A and B:
- A(2, 2) becomes A'(-2, 2)
- B(2, -2) becomes B'(-2, -2)
- Points C(0, -1) and D(0, 1) remain unchanged since they lie on the Y-axis.

**Hint:** Remember that reflecting across the Y-axis means the x-coordinates will change signs, while the y-coordinates remain the same.

5. **Plot the Reflected Points A' and B':**
- Plot the new points A'(-2, 2) and B'(-2, -2) on the graph.

**Hint:** Ensure that the new points are accurately plotted based on their coordinates.

6. **Connect the Reflected Points to Form Quadrilateral A'B'CD:**
- Connect the points A', B', C, and D in order to form the new quadrilateral A'B'CD.

**Hint:** Again, connect the points in the correct order to visualize the new shape.

7. **Identify the Shape of the Quadrilateral A'B'CD:**
- Observe the quadrilateral A'B'CD. Since A'B' is parallel to CD, this quadrilateral is a trapezium.

**Hint:** Check the slopes of the sides to confirm that A'B' is parallel to CD.

### Final Naming:
- The polygon formed after reflection is named A'B'CD.