Angles, triangles, and quadrilaterals

Practice 5 items →

Parallel lines with a transversal are a kit: corresponding angles equal, alternate interior equal, co-interior supplementary. Students chase angles, use the triangle inequality, classify triangles and special quadrilaterals, and apply the interior sum (n − 2)·180° and exterior sum 360°.

Specification · for a parent or teacher

Part no.: euclidean-angles-polygons
Course: Advanced Math 7 · Unit 8
Realm: Shapes
Difficulty: 3 of 4 — Grade 6–7 core. Multi-step, first symbolic work.
Qty: 5 items

Part no. is the node's id; the realm is the kind of math; qty is how many practice items it carries.

Students can

complementary, supplementary, vertically opposite; transversal facts; triangle sum and exterior angle; triangle inequality; classify triangles; special quadrilaterals; interior sum $(n-2)180^\circ$ ; exterior sum $360^\circ$ .

Ready when

a transversal diagram plus a regular hexagon — they find a marked angle two ways.

Formulas

Interior angle sum

S = (n-2) \cdot 180^\circ

Exterior angle sum

360^\circ \text{ (convex)}

Watch for

co-interior called equal; exterior sum of a pentagon as $540^\circ$ .

Before · requires

Geometry and angle theoremsangle-theorems-triangles · Math 5

After · used by

Polygonspolygons-angle-theorems · Math 1

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