Students draw diagrams to demonstrate their understanding of three angle properties: angles at a point, adjacent angles on a straight line and vertically opposite angles.
Students use their knowledge of vertically opposite angles, adjacent angles on a straight line, and angles at a point to identify unknown angles in everyday shapes.
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 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.
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 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.
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.