AQA · Mathematics · 8300

GCSE Maths: Constructions: equilateral triangles

Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Constructions: equilateral triangles (Corbettmaths Video 73), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.

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  1. What tools are required to construct an equilateral triangle using the compass-and-straightedge method?

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    A ruler and compasses.

  2. In a construction of an equilateral triangle ABC, what geometric property must all three sides satisfy?

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    All three sides must have equal length.

  3. What is the relationship between a regular hexagon and a circle when the hexagon is inscribed in the circle?

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    All vertices of the hexagon lie on the circle's circumference.

  4. For a regular hexagon inscribed in a circle, what is the relationship between the circle's radius and the hexagon's side length?

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    The radius equals the side length of the hexagon.

  5. When constructing perpendicular bisectors of two sides of an equilateral triangle, what is significant about where they intersect?

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    They intersect at a single point (the center or circumcenter of the triangle).

  6. A ? is a six-sided polygon with all sides equal and all angles equal.

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    regular hexagon

  7. The ? of a line segment is a line that is perpendicular to the segment and divides it into two equal parts.

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    perpendicular bisector

  8. What basic construction technique is used to create an equilateral triangle from a given line segment AB?

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    Draw arcs with compass centered at A and B, both with radius equal to AB length. The intersection of the arcs gives the third vertex C.

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