Date: Secondary Math 2 Squares, Rectangles, Parallelograms, and Rhombi Section: 7.1 and 7.2 Vocab/Theorems Perpendicular/Parallel Line Theorem: Ex) Use the give statement and the perpendicular/parallel theorem to identify the pair of parallel lines. Ex) Squares: • • • • Ex2) List all of the congruent sides and angles of the given square. The diagonals of a square are congruent Opposite sides of a square are parallel The diagonals of a square bisect each other The diagonals of a square are perpendicular to each other. Ex2) Rectangles: • • • • Ex 3) List all of the congruent sides ad angles of the given rectangle. Ex3) Opposite sides of a rectangle are congruent Opposite sides of a rectangles are parallel The diagonals of a rectangle are congruent The diagonals of a rectangle bisect each other ����� to construct square Ex 4) Use 𝑊𝑊𝑊𝑊 WXYZ with diagonals ����� 𝑊𝑊𝑊𝑊 𝑎𝑎𝑎𝑎𝑎𝑎 ���� 𝑋𝑋𝑋𝑋 intersecting at point P. Ex 4) Ex 5) Create a two-column proof to ���� perpendicular to 𝑁𝑁𝑁𝑁 ���� in prove 𝑀𝑀𝑀𝑀 square MNLP. Ex 5) Parallelogram: • • • Ex 6) List all of the congruent sides and angles of the given parallelogram. Ex 6) Opposite sides of a parallelogram are congruent Opposite angles of a parallelogram are congruent The diagonals of a parallelogram bisect each other Rhombi: • • • • • Ex 7) List all of congruent sides and angles of the given rhombus. Opposite angles of a rhombus are congruent Opposite sides of a rhombus are parallel The diagonals of a rhombus are perpendicular to each other The diagonals of a rhombus bisect each other The diagonals of a rhombus bisect the vertex angles Ex) Parallelogram/Congruent-Parallel Side Theorem: Ex 8) Determine the missing statement needed to prove each quadrilateral is a parallelogram. Ex 8)
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