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#### Resources tagged with Invariance properties similar to The Why and How of Substitution:

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Broad Topics > Transformations and constructions > Invariance properties

### The Why and How of Substitution

##### Age 16 to 18

Step back and reflect! This article reviews techniques such as substitution and change of coordinates which enable us to exploit underlying structures to crack problems.

### Three Way Split

##### Age 14 to 16 Challenge Level:

Take any point P inside an equilateral triangle. Draw PA, PB and PC from P perpendicular to the sides of the triangle where A, B and C are points on the sides. Prove that PA + PB + PC is a constant.

### Stereoisomers

##### Age 16 to 18 Challenge Level:

Put your visualisation skills to the test by seeing which of these molecules can be rotated onto each other.

### Shuffles

##### Age 16 to 18 Challenge Level:

An environment for exploring the properties of small groups.

### Take a Square

##### Age 14 to 16 Challenge Level:

Cut off three right angled isosceles triangles to produce a pentagon. With two lines, cut the pentagon into three parts which can be rearranged into another square.