Difficulty: Rating: GCSE Marks:

GCSE Text:
Inside a Valentine’s card, a popup shape has been designed using parallelograms. Here you can see the plan view of the shape:

Calculate angles a, b, c and d, giving reasons for each answer.

Suggestions:
This is a simple but effective example of parallel lines designed as a consolidation for students who have learned about alternative, vertically opposite, corresponding and supplementary/co-interior angles.   Students often take just 1-2 minutes to find familiar shapes, but GCSE expectations are that they can also use the correct language to explain their answers.  Angle ‘d’ requires an understanding of triangles made inside rectangles using bisecting lines.

Teachers could extend the learning by considering:

• Identify which shapes in the diagram MUST be congruent and which MAY be congruent.