AQA GEOMETRY AND MEASURE

Point

Point

A location in space represented by a dot, having no length, height, shape, or size, usually labelled with capital letters.

Line

A series of points connected by a straight path, defined by two points, marked with a single lowercase or two capital letters, having no thickness and infinite length.

Collinear Points

Three or more points lying on a single straight line.

Non-Collinear Points

Points not lying on the same line.

Coplanar Points

Points lying on the same plane.

Non-Coplanar Points

Points not lying on the same plane.

Horizontal Line

A line parallel to the x-axis in a plane, mapped from left to right or right to left.

Vertical Line

A line parallel to the y-axis in a plane, mapped from up to down or down to up.

Intersecting Lines

Lines crossing each other at a point.

Perpendicular Lines

Lines intersecting at 90°.

Parallel Lines

Lines not intersecting and equidistant.

Polygon

A 2D shape with straight sides.

Regular Polygon

Polygon with equal angles and sides.

Irregular Polygon

Polygon with unequal angles and sides.

Triangle

A polygon with 3 sides.

Quadrilateral

A polygon with 4 sides, including squares, rectangles, trapezoids, and parallelograms.

Interior Angles

Angles inside a polygon formed between two adjacent sides.

Exterior Angles

Angles formed outside a polygon when a side is extended.

Congruence

Triangles identical in size and shape with equal corresponding sides and angles.

Pythagoras Theorem

In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.

Circle Theorem 1

The angle between a tangent and a chord equals the angle subtended by the chord in the alternate segment.