AC9M7M04

See also: Learning Areas / Mathematics / Mathematics / Measurement / Year 7

identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons

Elaborations

• AC9M7M04_E1 - constructing a pair of parallel lines and a pair of perpendicular lines using their properties, a pair of compasses and a ruler, set squares or using dynamic geometry software
• AC9M7M04_E2 - using dynamic geometry software to identify relationships between alternate, corresponding and co-interior angles for a pair of parallel lines cut by a transversal
• AC9M7M04_E3 - using dynamic geometry software to demonstrate how angles and their properties are involved in the design and construction of scissor lifts, folding umbrellas, toolboxes and cherry pickers
• AC9M7M04_E4 - using geometric reasoning of angle properties to generalise the angle relationships of parallel lines and transversals, and related properties such as the size of an exterior angle of a triangle is equal to the sum of the sizes of opposite and non-adjacent interior angles, and the sum of the sizes of interior angles in a triangle in the plane is equal to the size of \(2\) right angles or \(180\)°

Achievement Standard Components

• ASMAT710 - They apply knowledge of angle relationships and the sum of angles in a triangle to solve problems, giving reasons.