7.1 and 7.2 Student Note Guides

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)