Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

Shown is a pyramid with a square base. Its triangular side faces are congruent isosceles triangles. The base edge measures $4\text{ cm}$ and a sloping edge measures $6\text{ cm}$. The diagram is not drawn to scale.
(a)[1]

State the number of planes of symmetry of this pyramid.

(b)[2]

Using only a ruler and compasses, construct an accurate diagram of one triangular face of the pyramid.

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