MISSING COORDINATES IN COORDINATE PLANE

Find the missing point.

Write the names of the missing points. The first shape is supposed to be a square. There are only three points on the graph. How many points would you need to draw a square ? A square has four corners. So the graph needs one more point to finish the square.

Connect the points already on the graph to begin drawing the square. Where should the fourth point be placed to make the fourth corner ? Each graph has part of a shape. Finish the shape. Write the names of the missing points.

Problem 1 :

Shape : Square

Missing Point : (___, ___)

Solution :

Since the given shape is a square, length of all sides will be equal. By counting, it is clear that the side length is 7 units.

(4, 3) after moving 7 units, we get (-3, 3)

So, the missing point is (-3, 3).

Problem 2 :

Shape : Rectangle

Missing Point : (___, ___)

Solution :

Since the given shape is a rectangle, length of opposite sides will be equal.

Length of the rectangle = 9 units

width of the rectangle = 3 units

• From (4, 0) moving left side 9 units, we get (-5, 0).
• From (-5, 0) moving down 3 units, we get (-5, -3).

So, the missing point is (-5, 0).

Problem 3 :

Shape : Square

Missing Point : (___, ___)

Solution :

Since the given shape is a square, length of all sides will be equal.

To reach (4, 0) from (1, 4), we have to move horizontally 3 units right and down 3 units.

• From (4, 0) moving down 3 units and moving left 3 units, we get (1, -4).

So, the missing point is (1, -4).

Problem 4 :

Shape : Rectangle

Missing Point : (___, ___)

Solution :

Since the given shape is a rectangle, length of opposite sides will be equal.

• From (1, -5) moving left 6 units, moving up 6 units, we get (-5, 1).

So, the missing point is (-5, 1).

Problem 5 :

Shape : Square

Missing Point : (___, ___)

(___, ___)

Solution :

• From (-1, -1) moving 5 units to the right, we get (4, -1)
• From (-1, -1) moving 5 units up, we get (-1, 4).

So, the missing point is (-1, 4) and (4, -1).

Problem 6 :

Shape : Rectangle

Missing Point : (___, ___)

(___, ___)

Solution :

So, the missing point is (-3, 3) and (5, -3).