7.4 Special ParallelogramsRectangles, Rhombi and Squares

Warm-upPlace the words Parallelograms, Rectangles, Rhombi and Squares in the Venn Diagram.

• https://www.youtube.com/watch?v=lW3I7yz5nVo

Parallelogram Family Tree

Definitions• Rectangle – An equiangular parallelogram.• Rhombus – An equilateral parallelogram.• Square – A regular parallelogram

Let’s Investigate The Diagonals of Special Parallelograms

Parallelogram Diagonals ConjecturesParallelogram: 1) Diagonals bisect each other.

Rectangle: 1) Diagonals bisect each other. 2) Diagonals are congruent.Rhombus: 1) Diagonals bisect each other. 2) Diagonals bisect the angles of the rhombus.3) Diagonals are perpendicular.

Square: 1) Diagonals bisect each other.2) Diagonals bisect the angles of the square.

3) Diagonals are perpendicular.4) Diagonals are congruent.

Using diagonals to prove a quadrilateral is a special parallelogram

Always, Sometimes or Never

Guided Practice1)

2)

3)

Exit Ticket• Place the words Parallelograms, Rectangles,

Rhombi and Squares in the Venn Diagram.