Geometry — NSW Year 7 Maths
Triangles and four-sided shapes: naming them, sorting them and finding missing angles. Six subtopics and 120 practice questions, each with a fully worked solution, aligned to NESA outcome MA4-GEO-C-01.
Geometry in NSW Year 7
Geometry in Year 7 is about triangles and quadrilaterals: what makes each kind special and how those facts help you find unknown angles and lengths. Students sort triangles by their sides and angles, name the special quadrilaterals from their markings, and use the angle totals for triangles and quadrilaterals to work out missing angles, giving a reason for every step.
The six subtopics below start with triangles (classifying them, their angle sum and the exterior angle rule), then turn to quadrilaterals (classifying them, their angle sum and the facts about their sides, angles and diagonals). Geometry is one of the 13 topics in NSW Year 7 Maths and sits in the Measurement and Space strand (NESA outcome MA4‑GEO‑C‑01). It builds on the Angles topic earlier in Year 7, where students work with parallel lines, and leads to congruent and similar figures in later years.
Subtopics
Geometry: common questions
What geometry do you learn in Year 7?
You classify triangles and quadrilaterals, use the facts that a triangle's angles total \(180^\circ\) and a quadrilateral's angles total \(360^\circ\), and apply the properties of shapes such as rectangles, rhombuses and kites to find unknown angles and sides.
How do you find a missing angle in a triangle?
Add the two angles you know and subtract the total from \(180^\circ\). If two angles are \(48^\circ\) and \(75^\circ\), the third is \(180^\circ - 123^\circ = 57^\circ\).
What is the exterior angle rule?
An exterior angle of a triangle is equal to the two inside angles that are not next to it, added together. If those angles are \(40^\circ\) and \(60^\circ\), the exterior angle is \(100^\circ\).
Which NESA outcome covers geometry in Year 7?
Triangles and quadrilaterals sit in Stage 4 of the NSW Mathematics K–10 Syllabus (2022) under outcome MA4‑GEO‑C‑01, usually taught in Year 7.
Is a square a rectangle?
Yes. A square has four right angles and opposite sides that are equal and parallel, so it is a rectangle, and it is a rhombus too. Its most exact name is still a square.