Using coordinates to plot and identify vertices of shapes, finding missing vertices, and working with reflections on coordinate grids.
Where your child meets this in real life: Computer graphics, design software, or plotting building layouts
Each SEAG paper has 28 maths questions. Questions 29 to 50 are multiple choice with five possible answers, and questions 51 to 56 need a short written answer. With 56 questions in 60 minutes across English and maths, that is about a minute per question.
SEAGReady breaks coordinates and shapes into 3 steps, taught in order so each skill builds on the last.
Plot coordinates to form shapes and read coordinates of vertices from given shapes on a grid
Use properties of shapes to find the coordinates of a missing vertex
Reflect shapes across horizontal or vertical mirror lines and state the new coordinates
Try three free questions from our coordinates and shapes course. They start easy and get harder, so you can see where your child's confidence runs out. If they manage the last one without a hint, this topic is probably secure. If not, the steps above show where to start.
Lewis plots the points A(2, 1), B(5, 1), C(5, 4), D(2, 4) on a coordinate grid and joins them in order. What is the most specific name for the shape he makes?
A square has vertices at (1, 1), (4, 1), and (4, 4). What are the coordinates of the fourth vertex?
Priya draws a triangle with vertices at (2, 1), (5, 1), and (3, 4). She reflects it across the line x = 7, then reflects the result across the line y = 6. What are the final coordinates of the vertex that started at (2, 1)?
This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.
A set of points is plotted on a coordinate grid.
Plot the points A(1, 2), B(5, 2), C(5, 5), D(1, 5) and join them. What shape is formed?
A(1, 2), B(5, 2), C(5, 5), D(1, 5)
For A(1, 2): go 1 across, 2 up from the origin
Step 1 of 4
A set of points is plotted on a coordinate grid.
Plot the points A(1, 2), B(5, 2), C(5, 5), D(1, 5) and join them. What shape is formed?
The four vertices form a rectangle with width 4 units and height 3 units.
The key insight: Vertices are just coordinate points - join them in order to reveal the shape!
Common mix-up: Plotting (1, 2) as 2 across and 1 up. Remember: the x-value (first number) tells you how far across, y-value (second) tells you how far up.
These are the misconceptions we see most often in coordinates and shapes, including the ones our practice questions are specifically designed to catch.
Struggling with coordinates and shapes? The real gap is often in one of these earlier topics.
Sitting the SEAG test this November? Read our last-month revision plan, Paper 1 vs Paper 2 and test day guide.
SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.
Free to start · no card needed