Applying Maths to solve problems in the real world…

Lodge Reflection & Rotation

Difficulty: Rating:

GCSE Marks:

GCSE Text: At a holiday site, woodland lodges are arranged in blocks. Here you can see the plan view of a block of 4 lodges that are built together.

Describe which single transformation turns shape A into shape B

Describe which single transformation turns shape A into shape C

Suggestions:
The transformation of shapes is a topic that regularly appears on Foundation and Higher GCSE papers. Students often rush these simple questions, making mistakes with + or – signs. This question works well as a plenary to consolidate learning on the different transformations. It often works to print out the above graphic, so that tracing paper can be used individually by the student, and extension work can be added too.

Extension Ideas: Teachers could extend the learning by considering:

What single transformation would be used to turn shape C into shape D?

Additional lodges are to be built and connected to these four. The first will be a reflection of shape C with the reflection line being at y = 6. The second will be a rotation of shape B, 90º clockwise with the centre of rotation being at (10,4). Draw a diagram which includes these additional lodge plans added.