7.4 Special Parallelograms Rectangles, Rhombi and Squares

Warm-up Place 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 Conjectures Parallelogram: 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. 4) Diagonals are congruent.

Using diagonals to prove a quadrilateral is a special parallelogram

Always, Sometimes or Never

Guided Practice 1) 2) 3)

Exit Ticket Place the words Parallelograms, Rectangles, Rhombi and Squares in the Venn Diagram.