Currently viewing the tag: "Properties of 2D shapes"
Make a 3D cube out of rolled paper sticks, tied together at the ends. Push your cube gently down and sideways. It will collapse into a 2D shape. Can you collapse your cube into
a 2D rectangle made of 2 squares?
Can you fold […]
The right angled triangles numbered 1, 2, 3 and 4 in the diagrams all have sides of length a, b and c. They are identical (congruent) copies of each other.
Cut 4 congruent right angled triangles from some scrap paper. Arrange them as shown in diagram […]
Look at this square divided into four pieces : two identical triangles and two identical trapezia.
The edge of length 3 from each triangle matches with the edge of length 3 from a trapezium so that the four pieces from the square now occupy a rectangular space.
The square had side length 8 […]
A tetrahedron (plural tetrahedra) is a solid with four triangular faces. How many different tetrahedra can you make using the four different types of triangle shown in the diagram if you have an unlimited number of each type?
Type R are right angled isosceles triangles with sides a, a and b units.
Type […]
We start from this definition:
A parallelogram is a quadrilateral with both pairs of opposite edges parallel.
In this investigation you will discover some other properties of parallelograms.
Step 1: Use two different width rulers to draw a parallelogram on tracing or baking paper.
Make sure that it is […]
For any triangle you can construct a line through one of the vertices parallel to the opposite edge.
Using what you know about angles and parallel lines prove that the angles of the triangle add up to 180 degrees.
Click here to download the ANGLE SUM worksheet.
Click here […]
Squares 1, 2 and 3 all have edges of length 1 unit.
The top edge of square 2 is split into equal parts of length ½.
The left hand edge of square 3 is split into equal parts of length ½.
The top and bottom edges of square 3 is split into lengths ¼, […]
This diagram shows 3 sets of parallel lines. What do you notice in the diagram?
Look at the triangle with angles marked 1, 2 and 3.
Call this T.
Label angles equal to these angles. Why are they equal?
Look at the larger heavily outlined triangle.
How many copies of triangle T can […]
ADHK is a square of side length 12 cm
AB = BC= CD = AE
BE is parallel to CF
EI is parallel to FJ
GE is parallel to AD
Can you find the side lengths of the different shapes?
Justify your answers.
The area of JGK is 20 cm².
Can […]
Start by watching the video https://youtu.be/B2dkNPaTmDY
Each student should have a stage 3 Sierpinski triangle of edge length about 6.5 cm and a colouring pen, and should colour their triangle as shown by the black filling in the small diagram.
The class will make poster of a stage […]
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