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Properties and Constructions I – Edexcel GCSE (1MA1): Foundation Tier

5. Quadrilaterals – G4, G6

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In this mini-lecture, we discuss the part of Topic G4 on quadrilaterals and the part of Topic G6 on quadrilateral similarity and congruence. As we move through this mini-lecture, we consider: (i) the definition and properties of six quadrilaterals (square, rectangle, rhombus, parallelogram, trapezium, kite), taking note of their angles, side lengths, and sides which are parallel; (ii) the diagonals of the square, and use properties on angles, bisectors, and triangles derived previously to prove that the diagonals of the square are perpendicular bisectors of each other; and (iii) consider the diagonals of other quadrilateral such as the rectangle, rhombus, parallelogram, and kite.


In this course, Professor Jason Lotay (University of Oxford) discusses topics G1-G6 in the Pearson Edexcel GCSE (9-1) Mathematics (1MA1) Specification for Foundation Tier. In the first mini-lecture, we cover the conventional terms and notations used in geometry (Topic G1). In the second mini-lecture, we use ruler and compass construction to create perpendicular bisectors and bisect angles (Topic G2). In the third mini-lecture, we explore types of angles and how we can use the properties of angles at a point on straight lines and on parallel lines to prove useful identities (Topic G3). In the fourth mini-lecture, we look at triangles and show how to use triangle congruence tests (Topics G4, G5, G6). In the fifth mini-lecture, we introduce six important quadrilaterals and use our understanding of angles, bisectors, and triangles to prove properties of quadrilaterals (Topics G4, G6). In the sixth mini-lecture, we tie together all the concepts we have learned in this course to find the length of the diagonal in a regular pentagon with side lengths of one unit (Topic G6).


Jason Lotay is a Professor of Pure Mathematics at the University of Oxford. He has previously held academic positions at UCL, Imperial College London, and Berkeley. His research interests are in differential geometry, particularly related to special holonomy, minimal submanifolds, gauge theory and geometric flows, and instantons.

Cite this Lecture

APA style

Lotay, J. (2022, August 30). Properties and Constructions I – Edexcel GCSE (1MA1): Foundation Tier - Quadrilaterals – G4, G6 [Video]. MASSOLIT.

MLA style

Lotay, J. "Properties and Constructions I – Edexcel GCSE (1MA1): Foundation Tier – Quadrilaterals – G4, G6." MASSOLIT, uploaded by MASSOLIT, 30 Aug 2022,

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