Graphing Quadrilaterals Vertices Coordinate Plane Geometry

Published on April 14, 2026

Geometry

Learn how to graph a quadrilateral by plotting its vertices on a coordinate plane. Follow step-by-step instructions to connect the points and visualize the shape.

Question

Graph the quadrilateral with vertices (5,10), (5,7), (1,2), and (0,3).

Answer

Here’s how to graph the quadrilateral with the given vertices:

1. Understand the Vertices

We are given four points, which are the vertices of our quadrilateral:

A = (5, 10)
B = (5, 7)
C = (1, 2)
D = (0, 3)

2. Set up the Coordinate Plane

Draw a standard Cartesian coordinate plane with an x-axis (horizontal) and a y-axis (vertical). Label the axes and mark some key values.

3. Plot the Vertices

Point A (5, 10): Start at the origin (0,0). Move 5 units to the right along the x-axis and then 10 units up parallel to the y-axis. Mark this point.
Point B (5, 7): Start at the origin. Move 5 units to the right along the x-axis and then 7 units up parallel to the y-axis. Mark this point.
Point C (1, 2): Start at the origin. Move 1 unit to the right along the x-axis and then 2 units up parallel to the y-axis. Mark this point.
Point D (0, 3): This point is on the y-axis, 3 units up from the origin. Mark this point.

4. Connect the Vertices

Draw line segments connecting the points in the order they were given to form the quadrilateral:

Connect A to B
Connect B to C
Connect C to D
Connect D to A

5. The Graph

The resulting figure on your coordinate plane will be the graph of the quadrilateral.

Visual Representation (Conceptual)

Imagine your graph paper:

Points A and B will be on a vertical line ().
Point C will be to the left and lower than B.
Point D will be to the left of C and slightly higher on the y-axis.

Here is a textual representation of the points on a conceptual grid:

y
^
|
10 * A (5, 10)
|
9  |
|
8  |
|
7  * B (5, 7)
|
6  |
|
5  |
|
4  |
|
3  * D (0, 3)
|
2  * C (1, 2)
|
1  |
+--+--+--+--+--+--+--+--+--+-> x
0  1  2  3  4  5  6  7  8  9

The quadrilateral is formed by connecting A -> B -> C -> D -> A.