Students use their knowledge of the angle between a tangent and radius property and the sum of the angles in a quadrilateral to work out unknown angles in a diagram and explain their workings.
Students use their knowledge of angle properties of parallel lines and angles on a straight line to identify similar angles and to calculate the sum of three angles giving appropriate explanations.
Students use the angle between a tangent and a radius property and the base angles in an isosceles triangle property to find an unknown angle and to explain why line segments are of equal size.
Students use their knowledge of the interior angles of regular polygons, isosceles triangles, and parallelograms to work out unknown angles for a variety of 2-dimensional shapes.
In a shape made up of triangles, students identify lines of symmetry for pairs of triangles and identify pairs of triangles which reflect through a line of symmetry.
Using the context of carpark lines, students are required to apply their knowledge of angles on parallel lines to calculate unknown angles and identify a non-parallel line from a selection of lines.
Students calculate the size of marked angles using their knowledge of angle properties: the angle between a tangent and a radius, the sum of angles in a triangle and the sum of angles in a quadrilateral.
This task requires students to calculate the size of angles using their knowledge of angles and parallel lines: alternate angles, corresponding angles and co-interior angles. Understanding of adjacent angles on a straight line is also required.