Valentine’s Parallelogram Card



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:

Valentine card

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

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.

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