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SingaporeMaths

Geometry and Circle Properties

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

What special angle rules hold inside a circle, such as the angle in a semicircle and the radius-tangent angle?

Use the basic angle properties of the circle, including the angle in a semicircle and the angle between a tangent and a radius
A focused answer to the N(A)-Level Mathematics outcome on circle angles. The angle in a semicircle, the tangent-radius right angle, equal radii forming isosceles triangles, and finding unknown angles.
8 min answer →

What angle rules let us find unknown angles on lines, at points, and between parallel lines?

Use angle properties on a straight line, at a point, and between parallel lines to find unknown angles
A focused answer to the N(A)-Level Mathematics outcome on angles. Angles on a line and at a point, vertically opposite angles, and corresponding, alternate and co-interior angles on parallel lines.
8 min answer →

When are two figures congruent or similar, and how do we use similarity to find missing lengths?

Identify congruent and similar figures, and use the ratio of corresponding sides of similar figures to find unknown lengths
A focused answer to the N(A)-Level Mathematics outcome on congruence and similarity. The meaning of congruent and similar figures, equal angles and proportional sides, and finding missing lengths by scale factor.
8 min answer →

What are the angle and side properties of triangles and the common quadrilaterals?

Use the angle sum of a triangle and a quadrilateral, the exterior angle property, and the properties of special triangles and quadrilaterals
A focused answer to the N(A)-Level Mathematics outcome on triangles and quadrilaterals. Angle sums, the exterior angle property, types of triangle, and properties of the special quadrilaterals.
8 min answer →