Complete polygons with missing coordinates | Maths | Quizalize & Oak National Academy

Starter quiz

Select the image that does not show a right angle.

A

B

C ✓

D
Two lines are perpendicular if they meet at a ______ angle.

'right' ✓
What is the name of the shape which is to the left of the hexagon?

Circle

Triangle

Trapezium ✓
What is the name of the shape which is below the circle?

Triangle

Hexagon ✓

Parallelogram
What are the coordinates of the star? Remember to use brackets and a comma.

'(5,4)' ✓
Sofia thinks of a shape. She says it has 4 sides and 4 vertices. It has exactly one pair of parallel lines. What shape could she be describing?

Square

Rectangle

Trapezium ✓

Parallelogram

Exit quiz

You have three vertices of a rectangle: A, B, and C. Where should vertex D be?

Anywhere you want.

Right next to point C.

The same distance from C as A is from B. ✓

Somewhere in the middle of the rectangle.
Lucas wants to find the coordinates of the missing vertices to complete the square. Which coordinates complete the square?

(2,2) and (4, 2)

(2, 3) and (4, 3) ✓

(1, 2) and ( 4, 1)
Sofia wants to create a pentagon. She uses a dot to plot the final vertex. Which coordinates could it not be?

(2, 3) ✓

(2, 1)

(3, 1)
Sofia completes a rectangle by plotting points C and D. Is she correct?

Yes

No ✓
Sofia has plotted the final two vertices of a quadrilateral. She thinks that it’s a rectangle. Is Sofia correct?

Yes ✓

No
Lucas plots another coordinate to complete a trapezium. He say he will plot it at (1, 2). Will this create a trapezium?

Yes

No ✓

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

Use knowledge of polygon properties to identify a missing vertex.
Use known coordinates to plot a missing coordinate.

Common misconception

Pupils may not correctly identify the type of polygon (e.g., rectangle, square, parallelogram), leading to errors in determining the missing coordinate.

Encourage pupils to first identify the polygon by examining the given vertices. Review the properties of common polygons (e.g., opposite sides of a rectangle are equal and parallel). Use visual aids or models to reinforce these properties.

Keywords

Vertex / vertices - A vertex is the point where two or more line segments meet. The plural is vertices.