Learning Goal: Introduce proving quadrilaterals are parallelograms and apply understanding to solve problems.
- Estimation – Grammichele
- Is this a rectangle? (Illustrative Mathematics)
- Notes Preparation
- Ungraded Formative Assessment
- Treasure Hunt
- Common Core
- HSG.CO.C.11 – Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
- G.5(A) – investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools
- G.6(E) – prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals and apply these relationships to solve problems