Geometry and angle theorems
You may not measure; you may use facts. Angles on a line, at a point, vertically opposite, the triangle sum, isosceles base angles, and the exterior-angle theorem. Students chase angles in a diagram with one or two given measures, name the special quadrilaterals, and construct a triangle given SAS or ASA.
Specification · for a parent or teacher
- angle-theorems-triangles
- Advanced Math 5 · Unit 11
- Shapes
- 3 of 4 — Grade 6–7 core. Multi-step, first symbolic work.
- 3 items
Students can
chase angles in a diagram with one or two given measures; name parallelogram, rhombus, trapezoid, rectangle, square; construct a triangle given SAS or ASA with ruler and protractor.
Ready when
a diagram with two lines crossing and a triangle on one ray, one 35° labeled, all other angles found with reasons.
Formulas
Watch for
exterior angle treated as minus one interior; “vertically opposite” used on adjacent angles.