Geometry
Guided Notes
Special Parallelograms
Name: _______________________
Date: ____________ Period: ____
Rhombus
A Rhombus is a ______________________ with 4 ___________________ sides
Theorem: A parallelogram is a rhombus if and only if its ________________ are ___________________.
Theorem: A parallelogram is a rhombus if and only if each diagonal ________________ a pair of
_________________ angles.
Theorem: A quadrilateral is a rhombus if and only if it has _____________ ___________________ sides.
Rectangles
A Rectangle is a parallelogram with ______________ ________________ angles
Theorem: A parallelogram is a rectangle if and only if its _________________ are ____________________.
Theorem: A quadrilateral is a rectangle if and only if it has ______________ __________________ angles.
Geometry
Guided Notes
Special Parallelograms
Name: _______________________
Date: ____________ Period: ____
Square
A Square is a parallelogram with ____________ ________________ sides and ____________ ______________
angles.
A square is both a rhombus and a rectangle.
Markings
Square
Rhombus
or
Rectangle
Rectangle
Remember: Rhombus, rectangles and squares are also parallelograms, so all properties
of parallelograms can also be applied to these polygons.
Geometry
Guided Notes
Special Parallelograms
Name: _______________________
Date: ____________ Period: ____
Example #1: WXYZ is a rectangle. The perimeter of ΔXYZ = 24. XY + YZ = 5X – 1; XZ = 13 – X; WY = ?
Example #2: ABCD is a square. AB = 1 - 10x; CD = 14 + 3x; BC = ?
Example #3: Decide whether the statement is true or false. Then write the converse and decide whether it is
true or false.
1. If a quadrilateral is a rectangle, then it is a parallelogram.
2. If a quadrilateral is a parallelogram, then it is a rhombus.
3. If a quadrilateral is a square, then it is a rhombus.
4. If a quadrilateral is a square, then it is a parallelogram.
5. If a parallelogram is a rectangle, then it is a rhombus.
6. If a rhombus is a square, then it is a rectangle.