Plot the given points on a graph sheet and check if they lie on a straight line. If not, name the shape they form when joined in the given order.
(i) A(0, 2), B(0,3.5), C(0, 5) and D(0, 6)
(ii) P(1, 3), Q(1, 5), R(3, 3) and S(3, 5)
(iii) E(4, 5), F(5, 5), G(5, 7) and H(6, 5)
(iv) L(2, 0), M(2, 3), N(0, 3) and O(0, 0)
(v) J(4, 3), K(6, 1), L(6, 5) and M(4, 7)

Answer

To solve the problem step by step, we will plot the given points on a graph sheet and check if they lie on a straight line. If they do not, we will identify the shape they form when joined in the given order.

### Part (i): Points A(0, 2), B(0, 3.5), C(0, 5), D(0, 6)

1. **Draw the Axes**: Begin by drawing the x-axis and y-axis on the graph sheet. Label the axes appropriately.

**Hint**: Remember that the x-axis is horizontal and the y-axis is vertical.

2. **Plot the Points**:
- A(0, 2): Start at the origin (0,0), move up to 2 on the y-axis.
- B(0, 3.5): From the origin, move up to 3.5 on the y-axis.
- C(0, 5): From the origin, move up to 5 on the y-axis.
- D(0, 6): From the origin, move up to 6 on the y-axis.

**Hint**: All points have the same x-coordinate (0), so they will be vertically aligned.

3. **Join the Points**: Connect the points A, B, C, and D in order.

4. **Check for Straight Line**: Since all points have the same x-coordinate, they lie on a vertical line.

**Conclusion**: The points A, B, C, and D lie on a straight line.

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### Part (ii): Points P(1, 3), Q(1, 5), R(3, 3), S(3, 5)

1. **Draw the Axes**: Draw the x-axis and y-axis again.

2. **Plot the Points**:
- P(1, 3): Move to (1, 3).
- Q(1, 5): Move to (1, 5).
- R(3, 3): Move to (3, 3).
- S(3, 5): Move to (3, 5).

**Hint**: Notice that P and Q share the same x-coordinate, and R and S share another x-coordinate.

3. **Join the Points**: Connect the points P, Q, R, and S in order.

4. **Check for Shape**: The points form two vertical lines (PQ and RS) and two horizontal lines (QR and PS), creating a rectangle.

**Conclusion**: The points P, Q, R, and S form a rectangle.

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### Part (iii): Points E(4, 5), F(5, 5), G(5, 7), H(6, 5)

1. **Draw the Axes**: Draw the x-axis and y-axis.

2. **Plot the Points**:
- E(4, 5): Move to (4, 5).
- F(5, 5): Move to (5, 5).
- G(5, 7): Move to (5, 7).
- H(6, 5): Move to (6, 5).

**Hint**: Notice that E, F, and H have the same y-coordinate (5).

3. **Join the Points**: Connect the points E, F, G, and H in order.

4. **Check for Shape**: The points form a triangle when connected.

**Conclusion**: The points E, F, G, and H form a triangle.

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### Part (iv): Points L(2, 0), M(2, 3), N(0, 3), O(0, 0)

1. **Draw the Axes**: Draw the x-axis and y-axis.

2. **Plot the Points**:
- L(2, 0): Move to (2, 0).
- M(2, 3): Move to (2, 3).
- N(0, 3): Move to (0, 3).
- O(0, 0): Move to (0, 0).

**Hint**: L and M share the same x-coordinate, and N and O share another x-coordinate.

3. **Join the Points**: Connect the points L, M, N, and O in order.

4. **Check for Shape**: The points form a rectangle.

**Conclusion**: The points L, M, N, and O form a rectangle.

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### Part (v): Points J(4, 3), K(6, 1), L(6, 5), M(4, 7)

1. **Draw the Axes**: Draw the x-axis and y-axis.

2. **Plot the Points**:
- J(4, 3): Move to (4, 3).
- K(6, 1): Move to (6, 1).
- L(6, 5): Move to (6, 5).
- M(4, 7): Move to (4, 7).

**Hint**: Notice the different y-coordinates for points K and L.

3. **Join the Points**: Connect the points J, K, L, and M in order.

4. **Check for Shape**: The points form a parallelogram.

**Conclusion**: The points J, K, L, and M form a parallelogram.

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### Summary of Shapes Formed:
1. Part (i): Straight Line
2. Part (ii): Rectangle
3. Part (iii): Triangle
4. Part (iv): Rectangle
5. Part (v): Parallelogram